Metrics for Octave 3.8, oct_fill

analyze23.0ms (0.2%)

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 23 to 14 computations (39.1% saved)

Precisions

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

ival-mult: 5.0ms (41.8% of total)

ival-div: 3.0ms (25.1% of total)

ival-sub: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% of total)

ival-sqrt: 1.0ms (8.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.3s (10.2%)

Results

916.0ms	8256×	0	valid
45.0ms	551×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 611.0ms

ival-div: 236.0ms (38.6% of total)

ival-mult: 178.0ms (29.1% of total)

ival-sqrt: 80.0ms (13.1% of total)

ival-sub: 47.0ms (7.7% of total)

ival-add: 46.0ms (7.5% of total)

const: 20.0ms (3.3% of total)

backward-pass: 4.0ms (0.7% of total)

Bogosity

preprocess230.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

1940×	`fnmsub-define`
1814×	`fnmadd-define`
1436×	`fma-define`
1376×	`fmsub-define`
1282×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	92
1	110	84
2	398	74
3	1552	72
4	5929	72
0	14	14
1	33	13
2	85	12
3	228	12
4	553	12
5	999	12
6	1613	12
7	2818	12
8	7396	12
9	7835	12
10	7992	12
0	8119	12

Stop Event

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

Calls

Call 1

Inputs
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))

Outputs

(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))

(*.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))))))

Call 2

Inputs
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(* (- (neg a) (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- (neg a) (/ 1 3))))) rand)))
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand))))
(neg (* (- (neg a) (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- (neg a) (/ 1 3))))) rand))))
(neg (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand)))))
(* (- rand (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- rand (/ 1 3))))) a)))

Outputs
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(* (+ a -1/3) (fma (rsqrt (fma a 9 -3)) rand 1))
(* (- (neg a) (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- (neg a) (/ 1 3))))) rand)))
(* (+ a 1/3) (fnmsub rand (rsqrt (fma a -9 -3)) 1))
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand))))
(* (+ a -1/3) (fnmsub (rsqrt (fma a 9 -3)) rand -1))
(neg (* (- (neg a) (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- (neg a) (/ 1 3))))) rand))))
(* (- -1/3 a) (fnmsub rand (rsqrt (fma a -9 -3)) 1))
(neg (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand)))))
(* (+ a -1/3) (fmsub (rsqrt (fma a 9 -3)) rand 1))
(* (- rand (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- rand (/ 1 3))))) a)))
(* (+ rand -1/3) (fma a (rsqrt (fma 9 rand -3)) 1))

explain234.0ms (1.8%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.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 #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) #s(literal 3 binary64))`
-	-	`(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))`
-	-	`#s(literal 9 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`#s(literal 1 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))))))`
-	-	`(+.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))`
-	-	`a`

Results

160.0ms	476×	0	valid
11.0ms	22×	2	valid
4.0ms	12×	1	valid
2.0ms	2×	5	exit

Compiler

Compiled 196 to 41 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 53.0ms (53.6% of total)

ival-div: 29.0ms (29.3% of total)

ival-sqrt: 7.0ms (7.1% of total)

ival-sub: 3.0ms (3% of total)

ival-add: 3.0ms (3% of total)

const: 2.0ms (2% of total)

backward-pass: 2.0ms (2% of total)

eval0.0ms (0%)

Compiler: Compiled 16 to 11 computations (31.3% saved)

prune1.0ms (0%)

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)))
▶	99.9%	(.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))))))

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)))

▶

99.9%

(*.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))))))

Compiler

Compiled 38 to 24 computations (36.8% saved)

simplify138.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

1826×	`fnmadd-define`
1382×	`fmsub-define`
1342×	`sum4-define`
1268×	`sum3-define`
1262×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	109
1	47	105
2	132	94
3	316	94
4	670	94
5	1113	94
6	1755	94
7	2986	94
8	7590	94
0	8014	94

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (+ a -1/3) (+ 1 (/ rand (sqrt (* (+ a -1/3) 9)))))
(+ a -1/3)
a
-1/3
(+ 1 (/ rand (sqrt (* (+ a -1/3) 9))))
1
(/ rand (sqrt (* (+ a -1/3) 9)))
rand
(sqrt (* (+ a -1/3) 9))
(* (+ a -1/3) 9)
9
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(- a (/ 1 3))
a
(/ 1 3)
1
3
(+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
(sqrt (* 9 (- a (/ 1 3))))
(* 9 (- a (/ 1 3)))
9
rand

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

localize116.0ms (0.9%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
✓	accuracy	99.6%	(.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	99.5%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
✓	accuracy	99.9%	(.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))))))
✓	accuracy	99.9%	(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))
✓	accuracy	99.7%	(/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))

Results

70.0ms	238×	0	valid
10.0ms	11×	2	valid
3.0ms	6×	1	valid
2.0ms	1×	5	exit

Compiler

Compiled 138 to 21 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 9.0ms (24.9% of total)

ival-add: 7.0ms (19.3% of total)

ival-div: 6.0ms (16.6% of total)

ival-sqrt: 5.0ms (13.8% of total)

...c/correct-round.rkt:119:19: 5.0ms (13.8% of total)

backward-pass: 2.0ms (5.5% of total)

const: 1.0ms (2.8% of total)

ival-sub: 1.0ms (2.8% of total)

series19.0ms (0.2%)

Counts

13 → 204

Calls

Call 1

Inputs
#<alt (* (+ a -1/3) (+ 1 (/ rand (sqrt (* (+ a -1/3) 9)))))>
#<alt (+ a -1/3)>
#<alt (+ 1 (/ rand (sqrt (* (+ a -1/3) 9))))>
#<alt (/ rand (sqrt (* (+ a -1/3) 9)))>
#<alt (/ 1 3)>
#<alt (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)>
#<alt (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))>
#<alt (- a (/ 1 3))>
#<alt (sqrt (* (+ a -1/3) 9))>
#<alt (* (+ a -1/3) 9)>
#<alt (/ 1 (sqrt (* 9 (- a (/ 1 3)))))>
#<alt (sqrt (* 9 (- a (/ 1 3))))>
#<alt (* 9 (- a (/ 1 3)))>

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

Calls

51 calls:

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

rewrite398.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4458×	`-lowering-.f32`
4458×	`-lowering-.f64`
2418×	`/-lowering-/.f32`
2418×	`/-lowering-/.f64`
1284×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	89
1	122	86
2	862	76
0	9065	76

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 715

Calls

Call 1

Inputs
(* (+ a -1/3) (+ 1 (/ rand (sqrt (* (+ a -1/3) 9)))))
(+ a -1/3)
(+ 1 (/ rand (sqrt (* (+ a -1/3) 9))))
(/ rand (sqrt (* (+ a -1/3) 9)))
(/ 1 3)
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(- a (/ 1 3))
(sqrt (* (+ a -1/3) 9))
(* (+ a -1/3) 9)
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
(sqrt (* 9 (- a (/ 1 3))))
(* 9 (- a (/ 1 3)))

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

simplify314.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

4588×	`-lowering-.f32`
4588×	`-lowering-.f64`
3648×	`+-lowering-+.f64`
3648×	`+-lowering-+.f32`
1710×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	3591
1	1186	3090
2	4424	3033
0	8143	3033

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval186.0ms (1.5%)

Compiler: Compiled 28752 to 2938 computations (89.8% saved)

prune202.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	1027	11	1038
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1029	11	1040

Accuracy

100.0%

Counts

1040 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(fma.f64 (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) rand (+.f64 a #s(literal -1/3 binary64)))
	99.8%	(/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
	51.9%	(/.f64 (.f64 (+.f64 (.f64 a a) #s(literal -1/9 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 a #s(literal 1/3 binary64)))
▶	67.3%	(+.f64 #s(literal -1/3 binary64) a)
▶	99.9%	(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))))
▶	98.7%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
	98.8%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
▶	99.8%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) rand))))
	34.3%	(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
	75.6%	(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
▶	97.7%	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))

Compiler

Compiled 328 to 232 computations (29.3% saved)

simplify375.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) rand))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) rand)))
✓	cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
✓	cost-diff	128	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) rand))))
✓	cost-diff	0	(/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))
✓	cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
✓	cost-diff	0	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))
✓	cost-diff	0	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
✓	cost-diff	0	(+.f64 #s(literal -1/3 binary64) a)
✓	cost-diff	0	(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)))
✓	cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
✓	cost-diff	128	(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))))

Rules

4852×	`+-lowering-+.f64`
4852×	`+-lowering-+.f32`
2392×	`-lowering-.f32`
2392×	`-lowering-.f64`
1840×	`sum3-define`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	30	190
1	74	186
2	211	186
3	791	184
4	2038	183
5	2706	183
6	3373	181
7	4362	181
8	5277	181
0	8070	181

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (+ a -1/3) (+ 1 (/ (/ rand (sqrt (+ a -1/3))) 3)))
(+ a -1/3)
a
-1/3
(+ 1 (/ (/ rand (sqrt (+ a -1/3))) 3))
1
(/ (/ rand (sqrt (+ a -1/3))) 3)
(/ rand (sqrt (+ a -1/3)))
rand
(sqrt (+ a -1/3))
3
(+ -1/3 a)
-1/3
a
(* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
a
(+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand)))
1
(* (sqrt (/ 1 a)) (* 1/3 rand))
(sqrt (/ 1 a))
(/ 1 a)
(* 1/3 rand)
1/3
rand
(* (+ a -1/3) (+ 1 (/ rand (* 3 (sqrt a)))))
(+ a -1/3)
a
-1/3
(+ 1 (/ rand (* 3 (sqrt a))))
1
(/ rand (* 3 (sqrt a)))
rand
(* 3 (sqrt a))
3
(sqrt a)
(* (+ a -1/3) (+ 1 (* 1/3 (* (pow (+ a -1/3) -1/2) rand))))
(+ a -1/3)
a
-1/3
(+ 1 (* 1/3 (* (pow (+ a -1/3) -1/2) rand)))
1
(* 1/3 (* (pow (+ a -1/3) -1/2) rand))
1/3
(* (pow (+ a -1/3) -1/2) rand)
(pow (+ a -1/3) -1/2)
-1/2
rand

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

localize216.0ms (1.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.9%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) rand))))
✓	accuracy	99.6%	(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) rand)
✓	accuracy	99.5%	(.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) rand))
✓	accuracy	100.0%	(sqrt.f64 a)
✓	accuracy	99.9%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
✓	accuracy	99.7%	(/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
✓	accuracy	99.9%	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) rand)
✓	accuracy	100.0%	(+.f64 #s(literal -1/3 binary64) a)
✓	accuracy	100.0%	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓	accuracy	99.9%	(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))))
✓	accuracy	99.7%	(/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓	accuracy	99.6%	(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))

Results

167.0ms

256×

valid

Compiler

Compiled 198 to 31 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 14.0ms (27.3% of total)

ival-add: 8.0ms (15.6% of total)

...c/correct-round.rkt:119:19: 8.0ms (15.6% of total)

ival-div: 7.0ms (13.6% of total)

ival-pow: 7.0ms (13.6% of total)

ival-sqrt: 6.0ms (11.7% of total)

const: 1.0ms (1.9% of total)

backward-pass: 0.0ms (0% of total)

series47.0ms (0.4%)

Counts

22 → 432

Calls

Call 1

Inputs
#<alt (* (+ a -1/3) (+ 1 (/ (/ rand (sqrt (+ a -1/3))) 3)))>
#<alt (+ a -1/3)>
#<alt (+ 1 (/ (/ rand (sqrt (+ a -1/3))) 3))>
#<alt (/ (/ rand (sqrt (+ a -1/3))) 3)>
#<alt (+ -1/3 a)>
#<alt (* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))>
#<alt (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand)))>
#<alt (* (sqrt (/ 1 a)) (* 1/3 rand))>
#<alt (sqrt (/ 1 a))>
#<alt (* (+ a -1/3) (+ 1 (/ rand (* 3 (sqrt a)))))>
#<alt (+ 1 (/ rand (* 3 (sqrt a))))>
#<alt (/ rand (* 3 (sqrt a)))>
#<alt (* (+ a -1/3) (+ 1 (* 1/3 (* (pow (+ a -1/3) -1/2) rand))))>
#<alt (+ 1 (* 1/3 (* (pow (+ a -1/3) -1/2) rand)))>
#<alt (* 1/3 (* (pow (+ a -1/3) -1/2) rand))>
#<alt (/ rand (sqrt (+ a -1/3)))>
#<alt (sqrt (+ a -1/3))>
#<alt (* 1/3 rand)>
#<alt (* 3 (sqrt a))>
#<alt (sqrt a)>
#<alt (* (pow (+ a -1/3) -1/2) rand)>
#<alt (pow (+ a -1/3) -1/2)>

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

Calls

108 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(+ 1 (/ rand (* 3 (sqrt a))))
2.0ms	rand	@	inf	(* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
2.0ms	a	@	-inf	(* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
1.0ms	a	@	-inf	(* (+ a -1/3) (+ 1 (* 1/3 (* (pow (+ a -1/3) -1/2) rand))))
1.0ms	a	@	-inf	(* (+ a -1/3) (+ 1 (/ (/ rand (sqrt (+ a -1/3))) 3)))

rewrite471.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4370×	`/-lowering-/.f32`
4370×	`/-lowering-/.f64`
2612×	`-lowering-.f32`
2612×	`-lowering-.f64`
1412×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	158
1	181	143
2	2171	141
0	8344	141

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1033

Calls

Call 1

Inputs
(* (+ a -1/3) (+ 1 (/ (/ rand (sqrt (+ a -1/3))) 3)))
(+ a -1/3)
(+ 1 (/ (/ rand (sqrt (+ a -1/3))) 3))
(/ (/ rand (sqrt (+ a -1/3))) 3)
(+ -1/3 a)
(* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
(+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand)))
(* (sqrt (/ 1 a)) (* 1/3 rand))
(sqrt (/ 1 a))
(* (+ a -1/3) (+ 1 (/ rand (* 3 (sqrt a)))))
(+ 1 (/ rand (* 3 (sqrt a))))
(/ rand (* 3 (sqrt a)))
(* (+ a -1/3) (+ 1 (* 1/3 (* (pow (+ a -1/3) -1/2) rand))))
(+ 1 (* 1/3 (* (pow (+ a -1/3) -1/2) rand)))
(* 1/3 (* (pow (+ a -1/3) -1/2) rand))
(/ rand (sqrt (+ a -1/3)))
(sqrt (+ a -1/3))
(* 1/3 rand)
(* 3 (sqrt a))
(sqrt a)
(* (pow (+ a -1/3) -1/2) rand)
(pow (+ a -1/3) -1/2)

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

simplify417.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

4168×	`-lowering-.f32`
4168×	`-lowering-.f64`
2724×	`+-lowering-+.f64`
2724×	`+-lowering-+.f32`
1400×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	463	5839
1	1562	4929
2	6361	4874
0	8120	4874

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

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

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

eval296.0ms (2.3%)

Compiler: Compiled 41716 to 3696 computations (91.1% saved)

prune240.0ms (1.9%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	1735	14	1749
Fresh	5	1	6
Picked	2	3	5
Done	0	0	0
Total	1742	18	1760

Accuracy

100.0%

Counts

1760 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.0%	(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
	18.6%	(/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
	18.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))))
	67.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
▶	98.7%	(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
	97.8%	(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
	97.7%	(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
✓	67.3%	(+.f64 #s(literal -1/3 binary64) a)
	33.9%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
▶	18.6%	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
✓	99.9%	(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))))
✓	99.8%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) rand))))
	97.7%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
▶	34.3%	(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
	97.7%	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))
	33.2%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
	66.4%	a
▶	1.5%	#s(literal -1/3 binary64)

Compiler

Compiled 386 to 281 computations (27.2% saved)

simplify156.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/3 binary64) rand)
✓	cost-diff	0	(+.f64 #s(literal -1/3 binary64) a)
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
✓	cost-diff	0	(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(.f64 a (.f64 a a))
✓	cost-diff	0	(+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))
✓	cost-diff	128	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
✓	cost-diff	0	(-.f64 #s(literal -1/3 binary64) a)
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
✓	cost-diff	0	(/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
✓	cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
✓	cost-diff	0	(/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64))))
✓	cost-diff	128	(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))

Rules

1858×	`fnmadd-define`
1856×	`sum3-define`
1688×	`sum4-define`
1220×	`-lowering-.f32`
1220×	`-lowering-.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	29	137
1	68	132
2	136	132
3	237	132
4	366	131
5	559	131
6	1393	131
7	4543	130
0	8140	130

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (/ (+ a -1/3) (/ (sqrt a) (/ rand 3))) (+ a -1/3))
(/ (+ a -1/3) (/ (sqrt a) (/ rand 3)))
(+ a -1/3)
a
-1/3
(/ (sqrt a) (/ rand 3))
(sqrt a)
(/ rand 3)
rand
3
-1/3
(/ (- 1/9 (* a a)) (- -1/3 a))
(- 1/9 (* a a))
1/9
(* a a)
a
(- -1/3 a)
-1/3
(* (+ (* a (* a a)) -1/27) (/ 1 (+ 1/9 (* a (+ a 1/3)))))
(+ (* a (* a a)) -1/27)
(* a (* a a))
a
(* a a)
-1/27
(/ 1 (+ 1/9 (* a (+ a 1/3))))
1
(+ 1/9 (* a (+ a 1/3)))
1/9
(* a (+ a 1/3))
(+ a 1/3)
1/3
(* (sqrt (+ -1/3 a)) (* 1/3 rand))
(sqrt (+ -1/3 a))
(+ -1/3 a)
-1/3
a
(* 1/3 rand)
1/3
rand

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

localize247.0ms (1.9%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal -1/3 binary64) a)
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) rand)
✓	accuracy	99.4%	(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
✓	accuracy	100.0%	(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
✓	accuracy	35.4%	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
✓	accuracy	100.0%	(-.f64 #s(literal -1/3 binary64) a)
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
✓	accuracy	51.5%	(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
✓	accuracy	100.0%	(sqrt.f64 a)
✓	accuracy	100.0%	(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
✓	accuracy	99.6%	(/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
✓	accuracy	85.6%	(/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64))))

Results

190.0ms

256×

valid

Compiler

Compiled 152 to 30 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-add: 36.0ms (32.4% of total)

ival-mult: 29.0ms (26.1% of total)

ival-div: 25.0ms (22.5% of total)

...c/correct-round.rkt:119:19: 14.0ms (12.6% of total)

ival-sqrt: 4.0ms (3.6% of total)

ival-sub: 2.0ms (1.8% of total)

const: 1.0ms (0.9% of total)

backward-pass: 0.0ms (0% of total)

series43.0ms (0.3%)

Counts

18 → 264

Calls

Call 1

Inputs
#<alt (+ (/ (+ a -1/3) (/ (sqrt a) (/ rand 3))) (+ a -1/3))>
#<alt (/ (+ a -1/3) (/ (sqrt a) (/ rand 3)))>
#<alt (+ a -1/3)>
#<alt (/ (sqrt a) (/ rand 3))>
#<alt (/ (- 1/9 (* a a)) (- -1/3 a))>
#<alt (- 1/9 (* a a))>
#<alt (* a a)>
#<alt (- -1/3 a)>
#<alt (* (+ (* a (* a a)) -1/27) (/ 1 (+ 1/9 (* a (+ a 1/3)))))>
#<alt (+ (* a (* a a)) -1/27)>
#<alt (* a (* a a))>
#<alt (* (sqrt (+ -1/3 a)) (* 1/3 rand))>
#<alt (sqrt (+ -1/3 a))>
#<alt (+ -1/3 a)>
#<alt (* 1/3 rand)>
#<alt (sqrt a)>
#<alt (/ 1 (+ 1/9 (* a (+ a 1/3))))>
#<alt (* a (+ a 1/3))>

Outputs
#<alt (* -1/9 (* (sqrt (/ 1 a)) rand))>
#<alt (/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (* 1/3 (* (sqrt a) rand)) 1/3))) a)>
#<alt (/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)>
#<alt (/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))>
#<alt (* -1/9 (* (sqrt (/ 1 a)) rand))>
#<alt (/ (+ (* -1/9 (* (sqrt a) rand)) (* 1/3 (* (sqrt (pow a 3)) rand))) a)>
#<alt (/ (+ (* -1/9 (* (sqrt a) rand)) (* 1/3 (* (sqrt (pow a 3)) rand))) a)>
#<alt (/ (+ (* -1/9 (* (sqrt a) rand)) (* 1/3 (* (sqrt (pow a 3)) rand))) a)>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/9 (* (sqrt (/ 1 (pow a 3))) rand)))))>
#<alt (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/9 (* (sqrt (/ 1 (pow a 3))) rand)))))>
#<alt (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/9 (* (sqrt (/ 1 (pow a 3))) rand)))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* -3 (* (sqrt a) (/ (pow (sqrt -1) 2) rand)))>
#<alt (* -3 (* (sqrt a) (/ (pow (sqrt -1) 2) rand)))>
#<alt (* -3 (* (sqrt a) (/ (pow (sqrt -1) 2) rand)))>
#<alt (* -3 (* (sqrt a) (/ (pow (sqrt -1) 2) rand)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt 1/9>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt -1/3>
#<alt (- (* -1 a) 1/3)>
#<alt (- (* -1 a) 1/3)>
#<alt (- (* -1 a) 1/3)>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))>
#<alt (* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))>
#<alt (* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))>
#<alt (* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))>
#<alt (* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt -1/27>
#<alt (- (pow a 3) 1/27)>
#<alt (- (pow a 3) 1/27)>
#<alt (- (pow a 3) 1/27)>
#<alt (pow a 3)>
#<alt (* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))>
#<alt (* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))>
#<alt (* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))>
#<alt (pow a 3)>
#<alt (* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (* 1/3 (* rand (sqrt -1/3)))>
#<alt (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt 9>
#<alt (+ 9 (* -27 a))>
#<alt (+ 9 (* a (- (* 243 (pow a 2)) 27)))>
#<alt (+ 9 (* a (- (* (pow a 2) (+ 243 (* -729 a))) 27)))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (- 1 (* 1/3 (/ 1 a))) (pow a 2))>
#<alt (/ (- (+ 1 (/ 1/27 (pow a 3))) (* 1/3 (/ 1 a))) (pow a 2))>
#<alt (/ (- (+ 1 (/ 1/27 (pow a 3))) (+ (* 1/3 (/ 1 a)) (* 1/81 (/ 1 (pow a 4))))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (- 1 (* 1/3 (/ 1 a))) (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow a 2)))) a))) (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ 1/3 (/ 1/81 (pow a 3))) (* 1/27 (/ 1 (pow a 2)))) a))) (pow a 2))>
#<alt (* 1/3 a)>
#<alt (* a (+ 1/3 a))>
#<alt (* a (+ 1/3 a))>
#<alt (* a (+ 1/3 a))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>

Calls

66 calls:

Time	Variable		Point	Expression
19.0ms	a	@	0	(* (+ (* a (* a a)) -1/27) (/ 1 (+ 1/9 (* a (+ a 1/3)))))
5.0ms	a	@	inf	(/ (- 1/9 (* a a)) (- -1/3 a))
1.0ms	a	@	-inf	(+ (/ (+ a -1/3) (/ (sqrt a) (/ rand 3))) (+ a -1/3))
1.0ms	a	@	-inf	(/ (sqrt a) (/ rand 3))
1.0ms	a	@	0	(/ (sqrt a) (/ rand 3))

rewrite385.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

3774×	`/-lowering-/.f32`
3774×	`/-lowering-/.f64`
2172×	`fma-lowering-fma.f32`
2172×	`fma-lowering-fma.f64`
2126×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	89
1	190	87
2	2115	87
0	8656	87

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1075

Calls

Call 1

Inputs
(+ (/ (+ a -1/3) (/ (sqrt a) (/ rand 3))) (+ a -1/3))
(/ (+ a -1/3) (/ (sqrt a) (/ rand 3)))
(+ a -1/3)
(/ (sqrt a) (/ rand 3))
(/ (- 1/9 (* a a)) (- -1/3 a))
(- 1/9 (* a a))
(* a a)
(- -1/3 a)
(* (+ (* a (* a a)) -1/27) (/ 1 (+ 1/9 (* a (+ a 1/3)))))
(+ (* a (* a a)) -1/27)
(* a (* a a))
(* (sqrt (+ -1/3 a)) (* 1/3 rand))
(sqrt (+ -1/3 a))
(+ -1/3 a)
(* 1/3 rand)
(sqrt a)
(/ 1 (+ 1/9 (* a (+ a 1/3))))
(* a (+ a 1/3))

Outputs
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (+.f64 a (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) #s(literal -1/3 binary64))
(+.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))) #s(literal -1/3 binary64)) a)
(-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal -3 binary64)))))
(-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 a #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))))
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(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) #s(literal -1 binary64)))
(.f64 (+.f64 (.f64 a a) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (+.f64 a #s(literal 1/3 binary64))) (.f64 (.f64 a (+.f64 a #s(literal 1/3 binary64))) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a (+.f64 a #s(literal 1/3 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 a (+.f64 a #s(literal 1/3 binary64))) (.f64 a (+.f64 a #s(literal 1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) rand)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 rand #s(literal -3 binary64)))
(neg.f64 (/.f64 rand #s(literal -3 binary64)))
(/.f64 rand #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) rand))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) rand) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 3 binary64) rand))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) rand)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) rand) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal -3 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand)) #s(literal 3 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand))) #s(literal -3 binary64))
(pow.f64 (/.f64 rand #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) rand) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) rand) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 rand #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) rand)
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal -1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) rand)) #s(literal -1 binary64)) #s(literal -1/3 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 1/2 binary64)))
(sqrt.f64 a)
(pow.f64 a #s(literal 1/2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 a #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (neg.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) #s(literal -1/9 binary64))))
(/.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) #s(literal -1/9 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) #s(literal -1/9 binary64)))))
(pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(.f64 (pow.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (+.f64 a #s(literal 1/3 binary64))) (.f64 (.f64 a (+.f64 a #s(literal 1/3 binary64))) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a (+.f64 a #s(literal 1/3 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (+.f64 a #s(literal 1/3 binary64))) (.f64 (.f64 a (+.f64 a #s(literal 1/3 binary64))) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a (+.f64 a #s(literal 1/3 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 a (+.f64 a #s(literal 1/3 binary64))) (.f64 a (+.f64 a #s(literal 1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 a (+.f64 a #s(literal 1/3 binary64))) (.f64 a (+.f64 a #s(literal 1/3 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal -1 binary64)))
(+.f64 (.f64 a a) (.f64 a #s(literal 1/3 binary64)))
(+.f64 (.f64 a a) (neg.f64 (.f64 a #s(literal -1/3 binary64))))
(+.f64 (.f64 a (+.f64 a #s(literal 1/3 binary64))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/3 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(+.f64 (.f64 a (+.f64 a #s(literal 1/3 binary64))) (fma.f64 #s(literal 1/3 binary64) a (.f64 a #s(literal -1/3 binary64))))
(+.f64 (.f64 a #s(literal 1/3 binary64)) (.f64 a a))
(-.f64 (.f64 a a) (.f64 a #s(literal -1/3 binary64)))
(-.f64 (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (.f64 (.f64 a #s(literal -1/3 binary64)) (.f64 a #s(literal -1/3 binary64))) (.f64 (.f64 a a) (.f64 a #s(literal -1/3 binary64)))))) (/.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (.f64 (.f64 a #s(literal -1/3 binary64)) (.f64 a #s(literal -1/3 binary64))) (.f64 (.f64 a a) (.f64 a #s(literal -1/3 binary64)))))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (.f64 (.f64 a #s(literal -1/3 binary64)) (.f64 a #s(literal -1/3 binary64))) (.f64 a (+.f64 a #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 (.f64 a a) (.f64 a #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 a #s(literal 1/3 binary64)) (.f64 a #s(literal 1/3 binary64))) (-.f64 (.f64 a a) (.f64 a #s(literal 1/3 binary64)))))
(fma.f64 a a (*.f64 a #s(literal 1/3 binary64)))
(fma.f64 a a (neg.f64 (*.f64 a #s(literal -1/3 binary64))))
(fma.f64 a #s(literal 1/3 binary64) (*.f64 a a))
(fma.f64 a (+.f64 a #s(literal 1/3 binary64)) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/3 binary64)) (.f64 a #s(literal -1/3 binary64))))
(fma.f64 #s(literal 1/3 binary64) a (*.f64 a a))
(fma.f64 (+.f64 a #s(literal 1/3 binary64)) a (+.f64 (.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/3 binary64)) (.f64 a #s(literal -1/3 binary64))))
(/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 (.f64 (.f64 a #s(literal 1/3 binary64)) (.f64 a #s(literal 1/3 binary64))) (.f64 (.f64 a a) (*.f64 a #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a #s(literal -1/3 binary64)) (.f64 a #s(literal -1/3 binary64)))) (*.f64 a (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a #s(literal 1/3 binary64)) (.f64 a #s(literal 1/3 binary64)))) (-.f64 (.f64 a a) (.f64 a #s(literal 1/3 binary64))))
(/.f64 (.f64 a (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))) (+.f64 (.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))
(/.f64 (.f64 a (+.f64 (.f64 a a) #s(literal -1/9 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(/.f64 (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64)) a) (+.f64 (.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 a a) #s(literal -1/9 binary64)) a) (+.f64 a #s(literal -1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (.f64 (.f64 a #s(literal -1/3 binary64)) (.f64 a #s(literal -1/3 binary64))) (.f64 (.f64 a a) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64)))) (neg.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 (.f64 (.f64 a #s(literal 1/3 binary64)) (.f64 a #s(literal 1/3 binary64))) (.f64 (.f64 a a) (*.f64 a #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)))) (neg.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (.f64 (.f64 a #s(literal -1/3 binary64)) (.f64 a #s(literal -1/3 binary64))) (.f64 (.f64 a a) (*.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a #s(literal -1/3 binary64)) (.f64 a #s(literal -1/3 binary64))))) (neg.f64 (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a #s(literal 1/3 binary64)) (.f64 a #s(literal 1/3 binary64))))) (neg.f64 (-.f64 (.f64 a a) (.f64 a #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (.f64 a (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64)))) (neg.f64 (+.f64 (.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (.f64 a (+.f64 (.f64 a a) #s(literal -1/9 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64)) a)) (neg.f64 (+.f64 (.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 a a) #s(literal -1/9 binary64)) a)) (-.f64 #s(literal 0 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(*.f64 (+.f64 a #s(literal 1/3 binary64)) a)

simplify269.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

4184×	`-lowering-.f32`
4184×	`-lowering-.f64`
3550×	`+-lowering-+.f64`
3550×	`+-lowering-+.f32`
1896×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	300	2147
1	917	1949
2	3373	1916
3	7613	1912
0	8523	1912

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* -1/9 (* (sqrt (/ 1 a)) rand))
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (* 1/3 (* (sqrt a) rand)) 1/3))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(* -1/9 (* (sqrt (/ 1 a)) rand))
(/ (+ (* -1/9 (* (sqrt a) rand)) (* 1/3 (* (sqrt (pow a 3)) rand))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* 1/3 (* (sqrt (pow a 3)) rand))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* 1/3 (* (sqrt (pow a 3)) rand))) a)
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* 1/3 (* (sqrt a) rand))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/9 (* (sqrt (/ 1 (pow a 3))) rand)))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/9 (* (sqrt (/ 1 (pow a 3))) rand)))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/9 (* (sqrt (/ 1 (pow a 3))) rand)))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* 3 (* (sqrt a) (/ 1 rand)))
(* 3 (* (sqrt a) (/ 1 rand)))
(* 3 (* (sqrt a) (/ 1 rand)))
(* 3 (* (sqrt a) (/ 1 rand)))
(* 3 (* (sqrt a) (/ 1 rand)))
(* 3 (* (sqrt a) (/ 1 rand)))
(* 3 (* (sqrt a) (/ 1 rand)))
(* 3 (* (sqrt a) (/ 1 rand)))
(* -3 (* (sqrt a) (/ (pow (sqrt -1) 2) rand)))
(* -3 (* (sqrt a) (/ (pow (sqrt -1) 2) rand)))
(* -3 (* (sqrt a) (/ (pow (sqrt -1) 2) rand)))
(* -3 (* (sqrt a) (/ (pow (sqrt -1) 2) rand)))
(* 3 (* (sqrt a) (/ 1 rand)))
(* 3 (* (sqrt a) (/ 1 rand)))
(* 3 (* (sqrt a) (/ 1 rand)))
(* 3 (* (sqrt a) (/ 1 rand)))
(* 3 (* (sqrt a) (/ 1 rand)))
(* 3 (* (sqrt a) (/ 1 rand)))
(* 3 (* (sqrt a) (/ 1 rand)))
(* 3 (* (sqrt a) (/ 1 rand)))
(* 3 (* (sqrt a) (/ 1 rand)))
(* 3 (* (sqrt a) (/ 1 rand)))
(* 3 (* (sqrt a) (/ 1 rand)))
(* 3 (* (sqrt a) (/ 1 rand)))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
1/9
(+ 1/9 (* -1 (pow a 2)))
(+ 1/9 (* -1 (pow a 2)))
(+ 1/9 (* -1 (pow a 2)))
(* -1 (pow a 2))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* -1 (pow a 2))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
-1/3
(- (* -1 a) 1/3)
(- (* -1 a) 1/3)
(- (* -1 a) 1/3)
(* -1 a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(* -1 a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
-1/27
(- (pow a 3) 1/27)
(- (pow a 3) 1/27)
(- (pow a 3) 1/27)
(pow a 3)
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(pow a 3)
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
9
(+ 9 (* -27 a))
(+ 9 (* a (- (* 243 (pow a 2)) 27)))
(+ 9 (* a (- (* (pow a 2) (+ 243 (* -729 a))) 27)))
(/ 1 (pow a 2))
(/ (- 1 (* 1/3 (/ 1 a))) (pow a 2))
(/ (- (+ 1 (/ 1/27 (pow a 3))) (* 1/3 (/ 1 a))) (pow a 2))
(/ (- (+ 1 (/ 1/27 (pow a 3))) (+ (* 1/3 (/ 1 a)) (* 1/81 (/ 1 (pow a 4))))) (pow a 2))
(/ 1 (pow a 2))
(/ (- 1 (* 1/3 (/ 1 a))) (pow a 2))
(/ (+ 1 (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow a 2)))) a))) (pow a 2))
(/ (+ 1 (* -1 (/ (- (+ 1/3 (/ 1/81 (pow a 3))) (* 1/27 (/ 1 (pow a 2)))) a))) (pow a 2))
(* 1/3 a)
(* a (+ 1/3 a))
(* a (+ 1/3 a))
(* a (+ 1/3 a))
(pow a 2)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))

Outputs
(* -1/9 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/9 binary64)))
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (* 1/3 (* (sqrt a) rand)) 1/3))) a)
(/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 rand (sqrt.f64 a))) (.f64 a (+.f64 (.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) #s(literal -1/3 binary64)))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 rand (sqrt.f64 a))) (.f64 a (+.f64 a (+.f64 (.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) #s(literal -1/3 binary64))))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 rand (sqrt.f64 a))) (.f64 a (+.f64 a (+.f64 (.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) #s(literal -1/3 binary64))))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 rand (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 rand (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 rand (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(-.f64 #s(literal 0 binary64) (.f64 a (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64))))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(.f64 (-.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/3 binary64)))) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64))) #s(literal -1/3 binary64)) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(.f64 (-.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/3 binary64)))) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64))) #s(literal -1/3 binary64)) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(.f64 (-.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/3 binary64)))) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64))) #s(literal -1/3 binary64)) a)) (-.f64 #s(literal 0 binary64) a))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(.f64 rand (+.f64 (.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(.f64 rand (+.f64 (.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(.f64 rand (+.f64 (.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(.f64 rand (+.f64 (.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(.f64 rand (+.f64 (.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(.f64 rand (+.f64 (.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* -1/9 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/9 binary64)))
(/ (+ (* -1/9 (* (sqrt a) rand)) (* 1/3 (* (sqrt (pow a 3)) rand))) a)
(/.f64 (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (.f64 a (.f64 a a)))) (*.f64 #s(literal -1/9 binary64) (sqrt.f64 a)))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* 1/3 (* (sqrt (pow a 3)) rand))) a)
(/.f64 (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (.f64 a (.f64 a a)))) (*.f64 #s(literal -1/9 binary64) (sqrt.f64 a)))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* 1/3 (* (sqrt (pow a 3)) rand))) a)
(/.f64 (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (.f64 a (.f64 a a)))) (*.f64 #s(literal -1/9 binary64) (sqrt.f64 a)))) a)
(* 1/3 (* (sqrt a) rand))
(.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (.f64 rand (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))))
(* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (.f64 rand (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))))
(* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (.f64 rand (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))))
(* 1/3 (* (sqrt a) rand))
(.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/9 (* (sqrt (/ 1 (pow a 3))) rand)))))
(.f64 a (.f64 rand (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/9 (* (sqrt (/ 1 (pow a 3))) rand)))))
(.f64 a (.f64 rand (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/9 (* (sqrt (/ 1 (pow a 3))) rand)))))
(.f64 a (.f64 rand (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* -3 (* (sqrt a) (/ (pow (sqrt -1) 2) rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* -3 (* (sqrt a) (/ (pow (sqrt -1) 2) rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* -3 (* (sqrt a) (/ (pow (sqrt -1) 2) rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* -3 (* (sqrt a) (/ (pow (sqrt -1) 2) rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(* 3 (* (sqrt a) (/ 1 rand)))
(*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1 (pow a 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
(+ 1/9 (* -1 (pow a 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
(+ 1/9 (* -1 (pow a 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
(* -1 (pow a 2))
(-.f64 #s(literal 0 binary64) (*.f64 a a))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(.f64 (.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(.f64 (.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(.f64 (.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(* -1 (pow a 2))
(-.f64 #s(literal 0 binary64) (*.f64 a a))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(.f64 (.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(.f64 (.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(.f64 (.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
-1/3
#s(literal -1/3 binary64)
(- (* -1 a) 1/3)
(-.f64 #s(literal -1/3 binary64) a)
(- (* -1 a) 1/3)
(-.f64 #s(literal -1/3 binary64) a)
(- (* -1 a) 1/3)
(-.f64 #s(literal -1/3 binary64) a)
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(-.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(-.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(-.f64 #s(literal -1/3 binary64) a)
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(-.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(-.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(-.f64 #s(literal -1/3 binary64) a)
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
-1/27
#s(literal -1/27 binary64)
(- (pow a 3) 1/27)
(+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))
(- (pow a 3) 1/27)
(+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))
(- (pow a 3) 1/27)
(+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))
(pow a 3)
(.f64 a (.f64 a a))
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/27 binary64) (.f64 a a)) a)))
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/27 binary64) (.f64 a a)) a)))
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/27 binary64) (.f64 a a)) a)))
(pow a 3)
(.f64 a (.f64 a a))
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/27 binary64) (.f64 a a)) a)))
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/27 binary64) (.f64 a a)) a)))
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/27 binary64) (.f64 a a)) a)))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(* 1/3 (* rand (sqrt -1/3)))
(.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (+.f64 (/.f64 (.f64 (.f64 a rand) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(+.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (+.f64 (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 a rand) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))))))
(* 1/3 (* (sqrt a) rand))
(.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 (.f64 a rand) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/18 binary64))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 a (.f64 rand (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/18 binary64))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(.f64 a (.f64 rand (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))) (+.f64 (.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/18 binary64))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 a rand) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/18 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(-.f64 #s(literal 0 binary64) (.f64 a (.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal 1/18 binary64)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(.f64 a (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64))) (+.f64 (.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/1296 binary64)))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (.f64 a (+.f64 (.f64 a (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (sqrt -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))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 a (+.f64 (/.f64 (*.f64 a #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(.f64 a (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(.f64 a (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64)) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64))))))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
9
#s(literal 9 binary64)
(+ 9 (* -27 a))
(+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))
(+ 9 (* a (- (* 243 (pow a 2)) 27)))
(+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (*.f64 a #s(literal 243 binary64))))))
(+ 9 (* a (- (* (pow a 2) (+ 243 (* -729 a))) 27)))
(+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (- 1 (* 1/3 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 a a))
(/ (- (+ 1 (/ 1/27 (pow a 3))) (* 1/3 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 a a))) a)) (.f64 a a))
(/ (- (+ 1 (/ 1/27 (pow a 3))) (+ (* 1/3 (/ 1 a)) (* 1/81 (/ 1 (pow a 4))))) (pow a 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 a a))) a)) (/.f64 #s(literal -1/81 binary64) (pow.f64 a #s(literal 4 binary64)))) (.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (- 1 (* 1/3 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 a a))
(/ (+ 1 (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow a 2)))) a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 a a))) a)) (.f64 a a))
(/ (+ 1 (* -1 (/ (- (+ 1/3 (/ 1/81 (pow a 3))) (* 1/27 (/ 1 (pow a 2)))) a))) (pow a 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/27 binary64) (.f64 a a))) (/.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a a)))) a)) (.f64 a a))
(* 1/3 a)
(*.f64 a #s(literal 1/3 binary64))
(* a (+ 1/3 a))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* a (+ 1/3 a))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* a (+ 1/3 a))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))

eval202.0ms (1.6%)

Compiler: Compiled 41172 to 2997 computations (92.7% saved)

prune173.0ms (1.4%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	1489	16	1505
Fresh	4	6	10
Picked	4	1	5
Done	2	1	3
Total	1499	24	1523

Accuracy

100.0%

Counts

1523 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.4%	(/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
	12.9%	(/.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (-.f64 #s(literal -1/3 binary64) a))
	8.6%	(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))
	10.1%	(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
	67.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
	97.8%	(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))) a)
▶	97.8%	(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
	97.7%	(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
✓	67.3%	(+.f64 #s(literal -1/3 binary64) a)
	34.3%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/3 binary64) rand))
	33.9%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
	8.4%	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64)))))
	17.6%	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
▶	6.3%	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
	8.2%	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a #s(literal 243 binary64)))))))
▶	6.0%	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
	8.1%	(.f64 (+.f64 (.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))
	97.7%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
▶	34.4%	(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
	33.2%	(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
	33.2%	(.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
	33.2%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
▶	66.4%	a
✓	1.5%	#s(literal -1/3 binary64)

Compiler

Compiled 600 to 427 computations (28.8% saved)

simplify179.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 rand #s(literal 3 binary64))
✓	cost-diff	(+.f64 #s(literal -1/3 binary64) a)
✓	cost-diff	(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
✓	cost-diff	(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
✓	cost-diff	(*.f64 a a)
✓	cost-diff	(.f64 a (.f64 a a))
✓	cost-diff	(+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))
✓	cost-diff	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
✓	cost-diff	(*.f64 a a)
✓	cost-diff	(.f64 a (.f64 a a))
✓	cost-diff	(+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))
✓	cost-diff	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
✓	cost-diff	(sqrt.f64 a)
✓	cost-diff	(/.f64 rand #s(literal 3 binary64))
✓	cost-diff	(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
✓	cost-diff	(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)

Rules

3454×	`-lowering-.f32`
3454×	`-lowering-.f64`
3448×	`sum3-define`
1388×	`+-lowering-+.f64`
1388×	`+-lowering-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	172
1	77	157
2	217	157
3	787	157
4	4095	157
5	6639	157
6	6754	157
7	6888	157
8	6952	157
9	6952	157
0	8474	157

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (/ rand 3) (sqrt a)) a)
(* (/ rand 3) (sqrt a))
(/ rand 3)
rand
3
(sqrt a)
a
a
(* (+ (* a (* a a)) -1/27) (+ 9 (* a -27)))
(+ (* a (* a a)) -1/27)
(* a (* a a))
a
(* a a)
-1/27
(+ 9 (* a -27))
9
(* a -27)
-27
(* (+ (* a (* a a)) -1/27) (+ 9 (* a (+ -27 (* a (* a (+ 243 (* a -729))))))))
(+ (* a (* a a)) -1/27)
(* a (* a a))
a
(* a a)
-1/27
(+ 9 (* a (+ -27 (* a (* a (+ 243 (* a -729)))))))
9
(* a (+ -27 (* a (* a (+ 243 (* a -729))))))
(+ -27 (* a (* a (+ 243 (* a -729)))))
-27
(* a (* a (+ 243 (* a -729))))
(* a (+ 243 (* a -729)))
(+ 243 (* a -729))
243
(* a -729)
-729
(* (sqrt (+ -1/3 a)) (/ rand 3))
(sqrt (+ -1/3 a))
(+ -1/3 a)
-1/3
a
(/ rand 3)
rand
3

Outputs
(+ (* (/ rand 3) (sqrt a)) a)
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(* (/ rand 3) (sqrt a))
(*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))
(/ rand 3)
(/.f64 rand #s(literal 3 binary64))
rand
3
#s(literal 3 binary64)
(sqrt a)
(sqrt.f64 a)
a
a
(* (+ (* a (* a a)) -1/27) (+ 9 (* a -27)))
(.f64 (+.f64 (.f64 (.f64 a a) a) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 #s(literal -27 binary64) a)))
(+ (* a (* a a)) -1/27)
(+.f64 (.f64 (.f64 a a) a) #s(literal -1/27 binary64))
(* a (* a a))
(.f64 (.f64 a a) a)
a
(* a a)
(*.f64 a a)
-1/27
#s(literal -1/27 binary64)
(+ 9 (* a -27))
(+.f64 #s(literal 9 binary64) (*.f64 #s(literal -27 binary64) a))
9
#s(literal 9 binary64)
(* a -27)
(*.f64 #s(literal -27 binary64) a)
-27
#s(literal -27 binary64)
(* (+ (* a (* a a)) -1/27) (+ 9 (* a (+ -27 (* a (* a (+ 243 (* a -729))))))))
(.f64 (+.f64 (.f64 (.f64 a a) a) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 (+.f64 #s(literal -27 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 #s(literal -729 binary64) a)))) a)))
(+ (* a (* a a)) -1/27)
(+.f64 (.f64 (.f64 a a) a) #s(literal -1/27 binary64))
(* a (* a a))
(.f64 (.f64 a a) a)
a
(* a a)
(*.f64 a a)
-1/27
#s(literal -1/27 binary64)
(+ 9 (* a (+ -27 (* a (* a (+ 243 (* a -729)))))))
(+.f64 #s(literal 9 binary64) (.f64 (+.f64 #s(literal -27 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 243 binary64) (.f64 #s(literal -729 binary64) a)))) a))
9
#s(literal 9 binary64)
(* a (+ -27 (* a (* a (+ 243 (* a -729))))))
(.f64 (+.f64 #s(literal -27 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 243 binary64) (.f64 #s(literal -729 binary64) a)))) a)
(+ -27 (* a (* a (+ 243 (* a -729)))))
(+.f64 #s(literal -27 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 #s(literal -729 binary64) a))))
-27
#s(literal -27 binary64)
(* a (* a (+ 243 (* a -729))))
(.f64 (.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 #s(literal -729 binary64) a)))
(* a (+ 243 (* a -729)))
(.f64 (+.f64 #s(literal 243 binary64) (.f64 #s(literal -729 binary64) a)) a)
(+ 243 (* a -729))
(+.f64 #s(literal 243 binary64) (*.f64 #s(literal -729 binary64) a))
243
#s(literal 243 binary64)
(* a -729)
(*.f64 #s(literal -729 binary64) a)
-729
#s(literal -729 binary64)
(* (sqrt (+ -1/3 a)) (/ rand 3))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(sqrt (+ -1/3 a))
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
(+ -1/3 a)
(+.f64 #s(literal -1/3 binary64) a)
-1/3
#s(literal -1/3 binary64)
a
(/ rand 3)
(/.f64 rand #s(literal 3 binary64))
rand
3
#s(literal 3 binary64)

localize179.0ms (1.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 rand #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal -1/3 binary64) a)
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
✓	accuracy	99.9%	(.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	99.9%	(.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))
✓	accuracy	99.8%	(.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))
✓	accuracy	100.0%	(+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	99.9%	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
✓	accuracy	100.0%	(/.f64 rand #s(literal 3 binary64))
✓	accuracy	100.0%	(sqrt.f64 a)
✓	accuracy	100.0%	(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
✓	accuracy	99.5%	(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))

Results

127.0ms

256×

valid

Compiler

Compiled 195 to 31 computations (84.1% saved)

Precisions

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

ival-mult: 17.0ms (37.3% of total)

...c/correct-round.rkt:119:19: 10.0ms (22% of total)

ival-add: 9.0ms (19.8% of total)

ival-div: 5.0ms (11% of total)

ival-sqrt: 4.0ms (8.8% of total)

const: 1.0ms (2.2% of total)

backward-pass: 0.0ms (0% of total)

series32.0ms (0.2%)

Counts

16 → 228

Calls

Call 1

Inputs
#<alt (+ (* (/ rand 3) (sqrt a)) a)>
#<alt (* (/ rand 3) (sqrt a))>
#<alt (/ rand 3)>
#<alt (sqrt a)>
#<alt (* (+ (* a (* a a)) -1/27) (+ 9 (* a -27)))>
#<alt (+ (* a (* a a)) -1/27)>
#<alt (* a (* a a))>
#<alt (* a a)>
#<alt (* (+ (* a (* a a)) -1/27) (+ 9 (* a (+ -27 (* a (* a (+ 243 (* a -729))))))))>
#<alt (* (sqrt (+ -1/3 a)) (/ rand 3))>
#<alt (sqrt (+ -1/3 a))>
#<alt (+ -1/3 a)>
#<alt (+ 9 (* a -27))>
#<alt (* a (+ 243 (* a -729)))>
#<alt (* a (* a (+ 243 (* a -729))))>
#<alt (* a (+ -27 (* a (* a (+ 243 (* a -729))))))>

Outputs
#<alt a>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- (* a (+ 1 (* 9 (pow a 2)))) 1/3)>
#<alt (- (* a (+ 1 (* (pow a 2) (+ 9 (* -27 a))))) 1/3)>
#<alt (* -27 (pow a 4))>
#<alt (* (pow a 4) (- (* 9 (/ 1 a)) 27))>
#<alt (* (pow a 4) (- (+ (* 9 (/ 1 a)) (/ 1 (pow a 3))) 27))>
#<alt (* (pow a 4) (- (+ (* 9 (/ 1 a)) (/ 1 (pow a 3))) (+ 27 (* 1/3 (/ 1 (pow a 4))))))>
#<alt (* -27 (pow a 4))>
#<alt (* (pow a 4) (- (* 9 (/ 1 a)) 27))>
#<alt (* (pow a 4) (- (+ (* 9 (/ 1 a)) (/ 1 (pow a 3))) 27))>
#<alt (* (pow a 4) (- (* -1 (/ (- (/ 1/3 (pow a 3)) (+ 9 (/ 1 (pow a 2)))) a)) 27))>
#<alt -1/27>
#<alt (- (pow a 3) 1/27)>
#<alt (- (pow a 3) 1/27)>
#<alt (- (pow a 3) 1/27)>
#<alt (pow a 3)>
#<alt (* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))>
#<alt (* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))>
#<alt (* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))>
#<alt (pow a 3)>
#<alt (* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- (* a (+ 1 (* 243 (pow a 5)))) 1/3)>
#<alt (- (* a (+ 1 (* (pow a 5) (+ 243 (* -729 a))))) 1/3)>
#<alt (* -729 (pow a 7))>
#<alt (* (pow a 7) (- (* 243 (/ 1 a)) 729))>
#<alt (* (pow a 7) (- (+ (* 243 (/ 1 a)) (/ 1 (pow a 6))) 729))>
#<alt (* (pow a 7) (- (+ (* 243 (/ 1 a)) (/ 1 (pow a 6))) (+ 729 (* 1/3 (/ 1 (pow a 7))))))>
#<alt (* -729 (pow a 7))>
#<alt (* -1 (* (pow a 7) (- 729 (* 243 (/ 1 a)))))>
#<alt (* -1 (* (pow a 7) (+ 729 (* -1 (/ (+ 243 (/ 1 (pow a 5))) a)))))>
#<alt (* -1 (* (pow a 7) (+ 729 (* -1 (/ (+ 243 (* -1 (/ (- (* 1/3 (/ 1 a)) 1) (pow a 5)))) a)))))>
#<alt (* 1/3 (* rand (sqrt -1/3)))>
#<alt (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt 9>
#<alt (+ 9 (* -27 a))>
#<alt (+ 9 (* -27 a))>
#<alt (+ 9 (* -27 a))>
#<alt (* -27 a)>
#<alt (* a (- (* 9 (/ 1 a)) 27))>
#<alt (* a (- (* 9 (/ 1 a)) 27))>
#<alt (* a (- (* 9 (/ 1 a)) 27))>
#<alt (* -27 a)>
#<alt (* -1 (* a (- 27 (* 9 (/ 1 a)))))>
#<alt (* -1 (* a (- 27 (* 9 (/ 1 a)))))>
#<alt (* -1 (* a (- 27 (* 9 (/ 1 a)))))>
#<alt (* 243 a)>
#<alt (* a (+ 243 (* -729 a)))>
#<alt (* a (+ 243 (* -729 a)))>
#<alt (* a (+ 243 (* -729 a)))>
#<alt (* -729 (pow a 2))>
#<alt (* (pow a 2) (- (* 243 (/ 1 a)) 729))>
#<alt (* (pow a 2) (- (* 243 (/ 1 a)) 729))>
#<alt (* (pow a 2) (- (* 243 (/ 1 a)) 729))>
#<alt (* -729 (pow a 2))>
#<alt (* (pow a 2) (- (* 243 (/ 1 a)) 729))>
#<alt (* (pow a 2) (- (* 243 (/ 1 a)) 729))>
#<alt (* (pow a 2) (- (* 243 (/ 1 a)) 729))>
#<alt (* 243 (pow a 2))>
#<alt (* (pow a 2) (+ 243 (* -729 a)))>
#<alt (* (pow a 2) (+ 243 (* -729 a)))>
#<alt (* (pow a 2) (+ 243 (* -729 a)))>
#<alt (* -729 (pow a 3))>
#<alt (* (pow a 3) (- (* 243 (/ 1 a)) 729))>
#<alt (* (pow a 3) (- (* 243 (/ 1 a)) 729))>
#<alt (* (pow a 3) (- (* 243 (/ 1 a)) 729))>
#<alt (* -729 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 729 (* 243 (/ 1 a)))))>
#<alt (* -1 (* (pow a 3) (- 729 (* 243 (/ 1 a)))))>
#<alt (* -1 (* (pow a 3) (- 729 (* 243 (/ 1 a)))))>
#<alt (* -27 a)>
#<alt (* a (- (* 243 (pow a 2)) 27))>
#<alt (* a (- (* (pow a 2) (+ 243 (* -729 a))) 27))>
#<alt (* a (- (* (pow a 2) (+ 243 (* -729 a))) 27))>
#<alt (* -729 (pow a 4))>
#<alt (* (pow a 4) (- (* 243 (/ 1 a)) 729))>
#<alt (* (pow a 4) (- (* 243 (/ 1 a)) (+ 729 (/ 27 (pow a 3)))))>
#<alt (* (pow a 4) (- (* 243 (/ 1 a)) (+ 729 (/ 27 (pow a 3)))))>
#<alt (* -729 (pow a 4))>
#<alt (* (pow a 4) (- (* 243 (/ 1 a)) 729))>
#<alt (* (pow a 4) (- (* -1 (/ (- (* 27 (/ 1 (pow a 2))) 243) a)) 729))>
#<alt (* (pow a 4) (- (* -1 (/ (- (* 27 (/ 1 (pow a 2))) 243) a)) 729))>

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(* (+ (* a (* a a)) -1/27) (+ 9 (* a (+ -27 (* a (* a (+ 243 (* a -729))))))))
0.0ms	a	@	inf	(* (+ (* a (* a a)) -1/27) (+ 9 (* a (+ -27 (* a (* a (+ 243 (* a -729))))))))
0.0ms	a	@	-inf	(+ (* (/ rand 3) (sqrt a)) a)
0.0ms	a	@	0	(* (+ (* a (* a a)) -1/27) (+ 9 (* a (+ -27 (* a (* a (+ 243 (* a -729))))))))
0.0ms	a	@	inf	(* a (+ 243 (* a -729)))

rewrite357.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3514×	`/-lowering-/.f32`
3514×	`/-lowering-/.f64`
3240×	`-lowering-.f32`
3240×	`-lowering-.f64`
2222×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	106
1	178	97
2	1542	97
0	8439	97

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 636

Calls

Call 1

Inputs
(+ (* (/ rand 3) (sqrt a)) a)
(* (/ rand 3) (sqrt a))
(/ rand 3)
(sqrt a)
(* (+ (* a (* a a)) -1/27) (+ 9 (* a -27)))
(+ (* a (* a a)) -1/27)
(* a (* a a))
(* a a)
(* (+ (* a (* a a)) -1/27) (+ 9 (* a (+ -27 (* a (* a (+ 243 (* a -729))))))))
(* (sqrt (+ -1/3 a)) (/ rand 3))
(sqrt (+ -1/3 a))
(+ -1/3 a)
(+ 9 (* a -27))
(* a (+ 243 (* a -729)))
(* a (* a (+ 243 (* a -729))))
(* a (+ -27 (* a (* a (+ 243 (* a -729))))))

Outputs
(+.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))
(+.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)
(-.f64 (/.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)) (/.f64 (*.f64 a a) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)))
(-.f64 (/.f64 (.f64 a a) (-.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))) (/.f64 (.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(fma.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)) a)
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a) a)
(fma.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)) a)
(fma.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) a)
(/.f64 (+.f64 (.f64 a (.f64 a a)) (pow.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64))) (+.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (.f64 a a) (.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 3/2 binary64))))))
(/.f64 (+.f64 (.f64 a (.f64 a a)) (pow.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64))) (+.f64 (.f64 a a) (-.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a a) (-.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 3/2 binary64))))) (+.f64 (.f64 a (.f64 a a)) (pow.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))) (-.f64 (.f64 a a) (.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))))))
(/.f64 (-.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 a a)) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))))))
(/.f64 (neg.f64 (+.f64 (.f64 a (.f64 a a)) (pow.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (.f64 a a) (.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 3/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (.f64 a (.f64 a a)) (pow.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (.f64 a a) (-.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 3/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 a a))) (neg.f64 (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)))
(/.f64 (-.f64 (.f64 a a) (.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))))) (-.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)) (.f64 (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a) (.f64 a a))) (.f64 (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 a (.f64 a a)) (pow.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (.f64 a a) (.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 3/2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 a a)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a))))
(/.f64 (neg.f64 (-.f64 (.f64 a a) (.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))))) (neg.f64 (-.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 a a) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)) (/.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a))) (+.f64 (.f64 (/.f64 (.f64 a a) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)) (/.f64 (.f64 a a) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a))) (.f64 (/.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)) (/.f64 (*.f64 a a) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 a (.f64 a a)) (pow.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (.f64 a a) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 3/2 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) (pow.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (-.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 3/2 binary64)))))))
(*.f64 #s(literal 1 binary64) (+.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))))
(.f64 (-.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)))
(.f64 (neg.f64 (+.f64 (.f64 a (.f64 a a)) (pow.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (.f64 a a) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 3/2 binary64))))))))
(.f64 (neg.f64 (-.f64 (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (.f64 a a))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a))))
(.f64 (-.f64 (.f64 a a) (.f64 a (.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))))
(/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 rand (sqrt.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) rand) (sqrt.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) (*.f64 rand (sqrt.f64 a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 a) (-.f64 #s(literal 0 binary64) rand))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) (-.f64 (.f64 (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) (.f64 (.f64 a #s(literal -27 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a #s(literal -27 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) (.f64 (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))) (-.f64 (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))) #s(literal -27 binary64)))) (.f64 a (+.f64 #s(literal -19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (-.f64 #s(literal 729 binary64) (.f64 (.f64 a a) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))) (-.f64 (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))) #s(literal -27 binary64)))) (.f64 (+.f64 #s(literal -19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 (-.f64 #s(literal 729 binary64) (.f64 (.f64 a a) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))) a)))
(/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (+.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) (-.f64 (.f64 (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) (.f64 (.f64 a #s(literal -27 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))))
(/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) (.f64 (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) (-.f64 (.f64 a #s(literal -27 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))
(/.f64 (.f64 a (+.f64 #s(literal -19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))) (-.f64 (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) #s(literal -27 binary64)))))
(/.f64 (.f64 a (-.f64 #s(literal 729 binary64) (.f64 (.f64 a a) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) (-.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal -19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) a) (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))) (-.f64 (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) #s(literal -27 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 729 binary64) (.f64 (.f64 a a) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) a) (-.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))))) (neg.f64 (+.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) (-.f64 (.f64 (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) (.f64 (.f64 a #s(literal -27 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) (.f64 (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (neg.f64 (-.f64 (.f64 a #s(literal -27 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))))
(/.f64 (neg.f64 (.f64 a (+.f64 #s(literal -19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))))) (neg.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))) (-.f64 (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) #s(literal -27 binary64))))))
(/.f64 (neg.f64 (.f64 a (-.f64 #s(literal 729 binary64) (.f64 (.f64 a a) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (neg.f64 (-.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) a)) (neg.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))) (-.f64 (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) #s(literal -27 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 729 binary64) (.f64 (.f64 a a) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) a)) (neg.f64 (-.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))))
(/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) (+.f64 (.f64 (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) (.f64 (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a #s(literal -27 binary64))))))
(.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))
(.f64 (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) a)
(.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) (-.f64 (.f64 (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) (.f64 (.f64 a #s(literal -27 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))))
(.f64 (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) (.f64 (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a #s(literal -27 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(.f64 (.f64 a (+.f64 #s(literal -19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))) (-.f64 (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))) #s(literal -27 binary64))))))
(.f64 (.f64 a (-.f64 #s(literal 729 binary64) (.f64 (.f64 a a) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))
(.f64 (.f64 (+.f64 #s(literal -19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))) (-.f64 (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))) #s(literal -27 binary64))))))
(.f64 (.f64 (-.f64 #s(literal 729 binary64) (.f64 (.f64 a a) (.f64 (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))) (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))

simplify306.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

4102×	`-lowering-.f32`
4102×	`-lowering-.f64`
3484×	`+-lowering-+.f64`
3484×	`+-lowering-+.f32`
1392×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	300	1896
1	936	1720
2	3372	1697
3	7289	1693
0	8176	1693

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -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)))
(* -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)))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
-1/3
(- a 1/3)
(- (* a (+ 1 (* 9 (pow a 2)))) 1/3)
(- (* a (+ 1 (* (pow a 2) (+ 9 (* -27 a))))) 1/3)
(* -27 (pow a 4))
(* (pow a 4) (- (* 9 (/ 1 a)) 27))
(* (pow a 4) (- (+ (* 9 (/ 1 a)) (/ 1 (pow a 3))) 27))
(* (pow a 4) (- (+ (* 9 (/ 1 a)) (/ 1 (pow a 3))) (+ 27 (* 1/3 (/ 1 (pow a 4))))))
(* -27 (pow a 4))
(* (pow a 4) (- (* 9 (/ 1 a)) 27))
(* (pow a 4) (- (+ (* 9 (/ 1 a)) (/ 1 (pow a 3))) 27))
(* (pow a 4) (- (* -1 (/ (- (/ 1/3 (pow a 3)) (+ 9 (/ 1 (pow a 2)))) a)) 27))
-1/27
(- (pow a 3) 1/27)
(- (pow a 3) 1/27)
(- (pow a 3) 1/27)
(pow a 3)
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(pow a 3)
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
-1/3
(- a 1/3)
(- (* a (+ 1 (* 243 (pow a 5)))) 1/3)
(- (* a (+ 1 (* (pow a 5) (+ 243 (* -729 a))))) 1/3)
(* -729 (pow a 7))
(* (pow a 7) (- (* 243 (/ 1 a)) 729))
(* (pow a 7) (- (+ (* 243 (/ 1 a)) (/ 1 (pow a 6))) 729))
(* (pow a 7) (- (+ (* 243 (/ 1 a)) (/ 1 (pow a 6))) (+ 729 (* 1/3 (/ 1 (pow a 7))))))
(* -729 (pow a 7))
(* -1 (* (pow a 7) (- 729 (* 243 (/ 1 a)))))
(* -1 (* (pow a 7) (+ 729 (* -1 (/ (+ 243 (/ 1 (pow a 5))) a)))))
(* -1 (* (pow a 7) (+ 729 (* -1 (/ (+ 243 (* -1 (/ (- (* 1/3 (/ 1 a)) 1) (pow a 5)))) a)))))
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
9
(+ 9 (* -27 a))
(+ 9 (* -27 a))
(+ 9 (* -27 a))
(* -27 a)
(* a (- (* 9 (/ 1 a)) 27))
(* a (- (* 9 (/ 1 a)) 27))
(* a (- (* 9 (/ 1 a)) 27))
(* -27 a)
(* -1 (* a (- 27 (* 9 (/ 1 a)))))
(* -1 (* a (- 27 (* 9 (/ 1 a)))))
(* -1 (* a (- 27 (* 9 (/ 1 a)))))
(* 243 a)
(* a (+ 243 (* -729 a)))
(* a (+ 243 (* -729 a)))
(* a (+ 243 (* -729 a)))
(* -729 (pow a 2))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(* -729 (pow a 2))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(* 243 (pow a 2))
(* (pow a 2) (+ 243 (* -729 a)))
(* (pow a 2) (+ 243 (* -729 a)))
(* (pow a 2) (+ 243 (* -729 a)))
(* -729 (pow a 3))
(* (pow a 3) (- (* 243 (/ 1 a)) 729))
(* (pow a 3) (- (* 243 (/ 1 a)) 729))
(* (pow a 3) (- (* 243 (/ 1 a)) 729))
(* -729 (pow a 3))
(* -1 (* (pow a 3) (- 729 (* 243 (/ 1 a)))))
(* -1 (* (pow a 3) (- 729 (* 243 (/ 1 a)))))
(* -1 (* (pow a 3) (- 729 (* 243 (/ 1 a)))))
(* -27 a)
(* a (- (* 243 (pow a 2)) 27))
(* a (- (* (pow a 2) (+ 243 (* -729 a))) 27))
(* a (- (* (pow a 2) (+ 243 (* -729 a))) 27))
(* -729 (pow a 4))
(* (pow a 4) (- (* 243 (/ 1 a)) 729))
(* (pow a 4) (- (* 243 (/ 1 a)) (+ 729 (/ 27 (pow a 3)))))
(* (pow a 4) (- (* 243 (/ 1 a)) (+ 729 (/ 27 (pow a 3)))))
(* -729 (pow a 4))
(* (pow a 4) (- (* 243 (/ 1 a)) 729))
(* (pow a 4) (- (* -1 (/ (- (* 27 (/ 1 (pow a 2))) 243) a)) 729))
(* (pow a 4) (- (* -1 (/ (- (* 27 (/ 1 (pow a 2))) 243) a)) 729))

Outputs
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(-.f64 #s(literal 0 binary64) (.f64 a (+.f64 #s(literal -1 binary64) (.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64)))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(-.f64 #s(literal 0 binary64) (.f64 a (+.f64 #s(literal -1 binary64) (.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64)))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(-.f64 #s(literal 0 binary64) (.f64 a (+.f64 #s(literal -1 binary64) (.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64)))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(-.f64 #s(literal 0 binary64) (.f64 a (+.f64 #s(literal -1 binary64) (.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64)))))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (* a (+ 1 (* 9 (pow a 2)))) 1/3)
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 a a)))))
(- (* a (+ 1 (* (pow a 2) (+ 9 (* -27 a))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))))
(* -27 (pow a 4))
(*.f64 #s(literal -27 binary64) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (* 9 (/ 1 a)) 27))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 9 binary64) a)))
(* (pow a 4) (- (+ (* 9 (/ 1 a)) (/ 1 (pow a 3))) 27))
(.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 9 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a a))))
(* (pow a 4) (- (+ (* 9 (/ 1 a)) (/ 1 (pow a 3))) (+ 27 (* 1/3 (/ 1 (pow a 4))))))
(.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 9 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a a))) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 a #s(literal 4 binary64))))))
(* -27 (pow a 4))
(*.f64 #s(literal -27 binary64) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (* 9 (/ 1 a)) 27))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 9 binary64) a)))
(* (pow a 4) (- (+ (* 9 (/ 1 a)) (/ 1 (pow a 3))) 27))
(.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 9 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a a))))
(* (pow a 4) (- (* -1 (/ (- (/ 1/3 (pow a 3)) (+ 9 (/ 1 (pow a 2)))) a)) 27))
(.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal -27 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 a a)) a) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a)))) a)))
-1/27
#s(literal -1/27 binary64)
(- (pow a 3) 1/27)
(+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))
(- (pow a 3) 1/27)
(+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))
(- (pow a 3) 1/27)
(+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))
(pow a 3)
(.f64 a (.f64 a a))
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))
(pow a 3)
(.f64 a (.f64 a a))
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (* a (+ 1 (* 243 (pow a 5)))) 1/3)
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 243 binary64) (pow.f64 a #s(literal 6 binary64))))
(- (* a (+ 1 (* (pow a 5) (+ 243 (* -729 a))))) 1/3)
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))) (pow.f64 a #s(literal 6 binary64))))
(* -729 (pow a 7))
(*.f64 #s(literal -729 binary64) (pow.f64 a #s(literal 7 binary64)))
(* (pow a 7) (- (* 243 (/ 1 a)) 729))
(*.f64 (pow.f64 a #s(literal 7 binary64)) (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a)))
(* (pow a 7) (- (+ (* 243 (/ 1 a)) (/ 1 (pow a 6))) 729))
(*.f64 (pow.f64 a #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 6 binary64)))))
(* (pow a 7) (- (+ (* 243 (/ 1 a)) (/ 1 (pow a 6))) (+ 729 (* 1/3 (/ 1 (pow a 7))))))
(*.f64 (pow.f64 a #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a)) (/.f64 #s(literal -1/3 binary64) (pow.f64 a #s(literal 7 binary64))))))
(* -729 (pow a 7))
(*.f64 #s(literal -729 binary64) (pow.f64 a #s(literal 7 binary64)))
(* -1 (* (pow a 7) (- 729 (* 243 (/ 1 a)))))
(.f64 (pow.f64 a #s(literal 7 binary64)) (+.f64 #s(literal -729 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal -243 binary64) a))))
(* -1 (* (pow a 7) (+ 729 (* -1 (/ (+ 243 (/ 1 (pow a 5))) a)))))
(*.f64 (+.f64 #s(literal 729 binary64) (/.f64 (+.f64 #s(literal -243 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 5 binary64)))) a)) (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 7 binary64))))
(* -1 (* (pow a 7) (+ 729 (* -1 (/ (+ 243 (* -1 (/ (- (* 1/3 (/ 1 a)) 1) (pow a 5)))) a)))))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (-.f64 #s(literal 729 binary64) (/.f64 (+.f64 #s(literal 243 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) (pow.f64 a #s(literal 5 binary64)))) a))))
(* 1/3 (* rand (sqrt -1/3)))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 a rand)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (+.f64 (/.f64 (.f64 (.f64 a rand) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (+.f64 (/.f64 (.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 a (+.f64 (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 a rand) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))))))
(* 1/3 (* (sqrt a) rand))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 (.f64 a rand) (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 a (.f64 rand (+.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a a))))) (.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(.f64 a (.f64 rand (+.f64 (+.f64 (.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (+.f64 (.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 rand (-.f64 #s(literal 0 binary64) a)) (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a a))) #s(literal 1/18 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(.f64 a (.f64 (.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a a))) #s(literal 1/18 binary64)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))))) #s(literal -1 binary64)))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a a))) #s(literal 1/18 binary64)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (+.f64 (.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/1296 binary64))))) (-.f64 #s(literal 0 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))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (.f64 a (+.f64 (.f64 a (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (sqrt -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))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 a (+.f64 (/.f64 (*.f64 a #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))) #s(literal -1/6 binary64))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a a))) #s(literal -1/6 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a a))) #s(literal -1/6 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(.f64 a (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a 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 #s(literal 0 binary64) (.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a a))) #s(literal -1/6 binary64)) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a a))) #s(literal -1/6 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64)) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64))))) (-.f64 #s(literal 0 binary64) a))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
9
#s(literal 9 binary64)
(+ 9 (* -27 a))
(+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))
(+ 9 (* -27 a))
(+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))
(+ 9 (* -27 a))
(+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))
(* -27 a)
(*.f64 a #s(literal -27 binary64))
(* a (- (* 9 (/ 1 a)) 27))
(*.f64 a (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 9 binary64) a)))
(* a (- (* 9 (/ 1 a)) 27))
(*.f64 a (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 9 binary64) a)))
(* a (- (* 9 (/ 1 a)) 27))
(*.f64 a (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 9 binary64) a)))
(* -27 a)
(*.f64 a #s(literal -27 binary64))
(* -1 (* a (- 27 (* 9 (/ 1 a)))))
(.f64 a (.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal -9 binary64) a)) #s(literal -1 binary64)))
(* -1 (* a (- 27 (* 9 (/ 1 a)))))
(.f64 a (.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal -9 binary64) a)) #s(literal -1 binary64)))
(* -1 (* a (- 27 (* 9 (/ 1 a)))))
(.f64 a (.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal -9 binary64) a)) #s(literal -1 binary64)))
(* 243 a)
(*.f64 a #s(literal 243 binary64))
(* a (+ 243 (* -729 a)))
(.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))
(* a (+ 243 (* -729 a)))
(.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))
(* a (+ 243 (* -729 a)))
(.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))
(* -729 (pow a 2))
(.f64 (.f64 a a) #s(literal -729 binary64))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a))))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a))))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a))))
(* -729 (pow a 2))
(.f64 (.f64 a a) #s(literal -729 binary64))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a))))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a))))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a))))
(* 243 (pow a 2))
(.f64 (.f64 a a) #s(literal 243 binary64))
(* (pow a 2) (+ 243 (* -729 a)))
(.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))
(* (pow a 2) (+ 243 (* -729 a)))
(.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))
(* (pow a 2) (+ 243 (* -729 a)))
(.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))
(* -729 (pow a 3))
(.f64 a (.f64 (*.f64 a a) #s(literal -729 binary64)))
(* (pow a 3) (- (* 243 (/ 1 a)) 729))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a))))
(* (pow a 3) (- (* 243 (/ 1 a)) 729))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a))))
(* (pow a 3) (- (* 243 (/ 1 a)) 729))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a))))
(* -729 (pow a 3))
(.f64 a (.f64 (*.f64 a a) #s(literal -729 binary64)))
(* -1 (* (pow a 3) (- 729 (* 243 (/ 1 a)))))
(.f64 (+.f64 #s(literal 729 binary64) (/.f64 #s(literal -243 binary64) a)) (-.f64 #s(literal 0 binary64) (.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (- 729 (* 243 (/ 1 a)))))
(.f64 (+.f64 #s(literal 729 binary64) (/.f64 #s(literal -243 binary64) a)) (-.f64 #s(literal 0 binary64) (.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (- 729 (* 243 (/ 1 a)))))
(.f64 (+.f64 #s(literal 729 binary64) (/.f64 #s(literal -243 binary64) a)) (-.f64 #s(literal 0 binary64) (.f64 a (*.f64 a a))))
(* -27 a)
(*.f64 a #s(literal -27 binary64))
(* a (- (* 243 (pow a 2)) 27))
(.f64 a (+.f64 #s(literal -27 binary64) (.f64 (*.f64 a a) #s(literal 243 binary64))))
(* a (- (* (pow a 2) (+ 243 (* -729 a))) 27))
(.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))
(* a (- (* (pow a 2) (+ 243 (* -729 a))) 27))
(.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))
(* -729 (pow a 4))
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -729 binary64))
(* (pow a 4) (- (* 243 (/ 1 a)) 729))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a)))
(* (pow a 4) (- (* 243 (/ 1 a)) (+ 729 (/ 27 (pow a 3)))))
(.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal -729 binary64) (/.f64 (+.f64 #s(literal 243 binary64) (/.f64 #s(literal -27 binary64) (.f64 a a))) a)))
(* (pow a 4) (- (* 243 (/ 1 a)) (+ 729 (/ 27 (pow a 3)))))
(.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal -729 binary64) (/.f64 (+.f64 #s(literal 243 binary64) (/.f64 #s(literal -27 binary64) (.f64 a a))) a)))
(* -729 (pow a 4))
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -729 binary64))
(* (pow a 4) (- (* 243 (/ 1 a)) 729))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a)))
(* (pow a 4) (- (* -1 (/ (- (* 27 (/ 1 (pow a 2))) 243) a)) 729))
(.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal -729 binary64) (/.f64 (+.f64 #s(literal 243 binary64) (/.f64 #s(literal -27 binary64) (.f64 a a))) a)))
(* (pow a 4) (- (* -1 (/ (- (* 27 (/ 1 (pow a 2))) 243) a)) 729))
(.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal -729 binary64) (/.f64 (+.f64 #s(literal 243 binary64) (/.f64 #s(literal -27 binary64) (.f64 a a))) a)))

eval125.0ms (1%)

Compiler: Compiled 34899 to 2510 computations (92.8% saved)

prune210.0ms (1.6%)

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	957	19	976
Fresh	4	13	17
Picked	2	3	5
Done	0	2	2
Total	963	37	1000

Accuracy

100.0%

Counts

1000 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.4%	(/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
	12.9%	(/.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (-.f64 #s(literal -1/3 binary64) a))
	8.6%	(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))
	0.7%	(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
	1.2%	(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
	6.3%	(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)))
	10.1%	(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
	1.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64)) (.f64 (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))))))
	34.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
	67.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
	97.8%	(+.f64 (/.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 3 binary64)) a)
	1.0%	(+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)))) (.f64 (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)))))
✓	97.8%	(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
	97.8%	(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
	6.0%	(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))))
	8.1%	(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 a a)))))
✓	67.3%	(+.f64 #s(literal -1/3 binary64) a)
	6.0%	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
	8.4%	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64)))))
	17.6%	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
	8.2%	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 (.f64 a a) #s(literal 243 binary64))))))
	0.9%	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -387420489 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 14348907 binary64))) (+.f64 (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a (.f64 a #s(literal -729 binary64)))) (-.f64 (.f64 (.f64 a #s(literal 243 binary64)) (.f64 a #s(literal 243 binary64))) (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a #s(literal 243 binary64)))))))))))
	6.3%	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 (*.f64 a a) #s(literal -729 binary64)))))))
	8.2%	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a #s(literal 243 binary64)))))))
	6.0%	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64)))
	8.1%	(.f64 (+.f64 (.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))
	97.7%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
✓	34.4%	(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
	33.3%	(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
	33.2%	(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
	33.2%	(.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
	33.2%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
	8.0%	(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
	67.0%	(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
	6.3%	(*.f64 #s(literal -729 binary64) (pow.f64 a #s(literal 7 binary64)))
✓	66.4%	a
✓	1.5%	#s(literal -1/3 binary64)

Compiler

Compiled 1618 to 670 computations (58.6% saved)

regimes208.0ms (1.6%)

Counts

62 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))
(.f64 (+.f64 (.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 a a)))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))))
(/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a #s(literal 243 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 (.f64 a a) #s(literal 243 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)))) (.f64 (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64)) (.f64 (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -387420489 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 14348907 binary64))) (+.f64 (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a (.f64 a #s(literal -729 binary64)))) (-.f64 (.f64 (.f64 a #s(literal 243 binary64)) (.f64 a #s(literal 243 binary64))) (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a #s(literal 243 binary64)))))))))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(*.f64 #s(literal -729 binary64) (pow.f64 a #s(literal 7 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(+.f64 (/.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 3 binary64)) a)
(/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/3 binary64) rand))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))) a)
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(.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 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))))
(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) rand))))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 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 (.f64 (+.f64 (.f64 a a) #s(literal -1/9 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 a #s(literal 1/3 binary64)))
(fma.f64 (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) rand (+.f64 a #s(literal -1/3 binary64)))

Outputs
(.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))))))

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)))
17.0ms	rand
17.0ms	a
17.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

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

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes39.0ms (0.3%)

Counts

54 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))
(.f64 (+.f64 (.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 a a)))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))))
(/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a #s(literal 243 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 (.f64 a a) #s(literal 243 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)))) (.f64 (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64)) (.f64 (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -387420489 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 14348907 binary64))) (+.f64 (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a (.f64 a #s(literal -729 binary64)))) (-.f64 (.f64 (.f64 a #s(literal 243 binary64)) (.f64 a #s(literal 243 binary64))) (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a #s(literal 243 binary64)))))))))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(*.f64 #s(literal -729 binary64) (pow.f64 a #s(literal 7 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(+.f64 (/.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 3 binary64)) a)
(/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/3 binary64) rand))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))) a)
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))

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

Calls

2 calls:

16.0ms	rand
16.0ms	a

Results

Accuracy	Segments	Branch
98.8%	1	`a`
98.8%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes34.0ms (0.3%)

Counts

50 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))
(.f64 (+.f64 (.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 a a)))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))))
(/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a #s(literal 243 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 (.f64 a a) #s(literal 243 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)))) (.f64 (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64)) (.f64 (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -387420489 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 14348907 binary64))) (+.f64 (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a (.f64 a #s(literal -729 binary64)))) (-.f64 (.f64 (.f64 a #s(literal 243 binary64)) (.f64 a #s(literal 243 binary64))) (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a #s(literal 243 binary64)))))))))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(*.f64 #s(literal -729 binary64) (pow.f64 a #s(literal 7 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(+.f64 (/.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 3 binary64)) a)
(/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/3 binary64) rand))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))

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

Calls

2 calls:

15.0ms	rand
14.0ms	a

Results

Accuracy	Segments	Branch
97.8%	1	`a`
97.8%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes35.0ms (0.3%)

Counts

43 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))
(.f64 (+.f64 (.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 a a)))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))))
(/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a #s(literal 243 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 (.f64 a a) #s(literal 243 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)))) (.f64 (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64)) (.f64 (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -387420489 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 14348907 binary64))) (+.f64 (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a (.f64 a #s(literal -729 binary64)))) (-.f64 (.f64 (.f64 a #s(literal 243 binary64)) (.f64 a #s(literal 243 binary64))) (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a #s(literal 243 binary64)))))))))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(*.f64 #s(literal -729 binary64) (pow.f64 a #s(literal 7 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)

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

Calls

2 calls:

17.0ms	rand
13.0ms	a

Results

Accuracy	Segments	Branch
97.8%	1	`a`
97.8%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes30.0ms (0.2%)

Counts

42 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))
(.f64 (+.f64 (.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 a a)))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))))
(/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a #s(literal 243 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 (.f64 a a) #s(literal 243 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)))) (.f64 (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64)) (.f64 (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -387420489 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 14348907 binary64))) (+.f64 (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a (.f64 a #s(literal -729 binary64)))) (-.f64 (.f64 (.f64 a #s(literal 243 binary64)) (.f64 a #s(literal 243 binary64))) (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a #s(literal 243 binary64)))))))))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(*.f64 #s(literal -729 binary64) (pow.f64 a #s(literal 7 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)

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

Calls

2 calls:

12.0ms	rand
11.0ms	a

Results

Accuracy	Segments	Branch
97.8%	1	`a`
97.8%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes30.0ms (0.2%)

Counts

41 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))
(.f64 (+.f64 (.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 a a)))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))))
(/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a #s(literal 243 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 (.f64 a a) #s(literal 243 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)))) (.f64 (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64)) (.f64 (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -387420489 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 14348907 binary64))) (+.f64 (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a (.f64 a #s(literal -729 binary64)))) (-.f64 (.f64 (.f64 a #s(literal 243 binary64)) (.f64 a #s(literal 243 binary64))) (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a #s(literal 243 binary64)))))))))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(*.f64 #s(literal -729 binary64) (pow.f64 a #s(literal 7 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))

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

Calls

2 calls:

13.0ms	a
11.0ms	rand

Results

Accuracy	Segments	Branch
97.7%	1	`a`
97.7%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes30.0ms (0.2%)

Counts

40 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))
(.f64 (+.f64 (.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 a a)))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))))
(/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a #s(literal 243 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 (.f64 a a) #s(literal 243 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)))) (.f64 (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64)) (.f64 (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -387420489 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 14348907 binary64))) (+.f64 (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a (.f64 a #s(literal -729 binary64)))) (-.f64 (.f64 (.f64 a #s(literal 243 binary64)) (.f64 a #s(literal 243 binary64))) (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a #s(literal 243 binary64)))))))))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(*.f64 #s(literal -729 binary64) (pow.f64 a #s(literal 7 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))

Outputs

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

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

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

Calls

2 calls:

13.0ms	a
12.0ms	rand

Results

Accuracy	Segments	Branch
67.3%	1	`a`
93.8%	3	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes18.0ms (0.1%)

Counts

39 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))
(.f64 (+.f64 (.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 a a)))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))))
(/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a #s(literal 243 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 (.f64 a a) #s(literal 243 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)))) (.f64 (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64)) (.f64 (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -387420489 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 14348907 binary64))) (+.f64 (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a (.f64 a #s(literal -729 binary64)))) (-.f64 (.f64 (.f64 a #s(literal 243 binary64)) (.f64 a #s(literal 243 binary64))) (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a #s(literal 243 binary64)))))))))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(*.f64 #s(literal -729 binary64) (pow.f64 a #s(literal 7 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))

Outputs

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

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

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

Calls

1 calls:

11.0ms

rand

Results

Accuracy	Segments	Branch
93.8%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts

38 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))
(.f64 (+.f64 (.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 a a)))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))))
(/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a #s(literal 243 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 (.f64 a a) #s(literal 243 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)))) (.f64 (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64)) (.f64 (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -387420489 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 14348907 binary64))) (+.f64 (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a (.f64 a #s(literal -729 binary64)))) (-.f64 (.f64 (.f64 a #s(literal 243 binary64)) (.f64 a #s(literal 243 binary64))) (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a #s(literal 243 binary64)))))))))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(*.f64 #s(literal -729 binary64) (pow.f64 a #s(literal 7 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))

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

Calls

1 calls:

10.0ms

rand

Results

Accuracy	Segments	Branch
93.2%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes28.0ms (0.2%)

Counts

37 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))
(.f64 (+.f64 (.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 a a)))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))))
(/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a #s(literal 243 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 (.f64 a a) #s(literal 243 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)))) (.f64 (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64)) (.f64 (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -387420489 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 14348907 binary64))) (+.f64 (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a (.f64 a #s(literal -729 binary64)))) (-.f64 (.f64 (.f64 a #s(literal 243 binary64)) (.f64 a #s(literal 243 binary64))) (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a #s(literal 243 binary64)))))))))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(*.f64 #s(literal -729 binary64) (pow.f64 a #s(literal 7 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))

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

Calls

1 calls:

23.0ms

rand

Results

Accuracy	Segments	Branch
93.2%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.2%)

Counts

35 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))
(.f64 (+.f64 (.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 a a)))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))))
(/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a #s(literal 243 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 (.f64 a a) #s(literal 243 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)))) (.f64 (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64)) (.f64 (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -387420489 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 14348907 binary64))) (+.f64 (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a (.f64 a #s(literal -729 binary64)))) (-.f64 (.f64 (.f64 a #s(literal 243 binary64)) (.f64 a #s(literal 243 binary64))) (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a #s(literal 243 binary64)))))))))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(*.f64 #s(literal -729 binary64) (pow.f64 a #s(literal 7 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))

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

Calls

1 calls:

10.0ms

rand

Results

Accuracy	Segments	Branch
93.2%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

34 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))
(.f64 (+.f64 (.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 a a)))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))))
(/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a #s(literal 243 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 (.f64 a a) #s(literal 243 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)))) (.f64 (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))) (.f64 a (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal 27 binary64) a)) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64)) (.f64 (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -387420489 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 14348907 binary64))) (+.f64 (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a (.f64 a #s(literal -729 binary64)))) (-.f64 (.f64 (.f64 a #s(literal 243 binary64)) (.f64 a #s(literal 243 binary64))) (.f64 (.f64 a (.f64 a #s(literal -729 binary64))) (.f64 a #s(literal 243 binary64)))))))))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64))))))))) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/729 binary64))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (.f64 a #s(literal -729 binary64)))))))) (+.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))))
(*.f64 #s(literal -729 binary64) (pow.f64 a #s(literal 7 binary64)))

Outputs

(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -729 binary64)))))))

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

(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))

Calls

1 calls:

10.0ms

rand

Results

Accuracy	Segments	Branch
76.5%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

23 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))
(.f64 (+.f64 (.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 a a)))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))))
(/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a #s(literal 243 binary64)))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 (.f64 a a) #s(literal 243 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (-.f64 #s(literal -1/3 binary64) a))

Outputs

(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 a #s(literal -27 binary64)))

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

(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))

Calls

1 calls:

8.0ms

rand

Results

Accuracy	Segments	Branch
76.1%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

19 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))
(.f64 (+.f64 (.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 a a)))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))))
(/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))

Outputs

(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 a #s(literal -27 binary64)))

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

(*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))

Calls

1 calls:

6.0ms

rand

Results

Accuracy	Segments	Branch
75.7%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts

17 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))
(.f64 (+.f64 (.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 a a)))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))))
(/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))

Outputs

(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 a #s(literal -27 binary64)))

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

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

Calls

1 calls:

5.0ms

rand

Results

Accuracy	Segments	Branch
75.7%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts

8 → 2

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))
(.f64 (+.f64 (.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))

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

Calls

1 calls:

5.0ms

rand

Results

Accuracy	Segments	Branch
70.3%	2	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))

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

Calls

1 calls:

2.0ms

rand

Results

Accuracy	Segments	Branch
67.3%	1	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
a

Calls

2 calls:

2.0ms	rand
2.0ms	a

Results

Accuracy	Segments	Branch
66.4%	1	`a`
66.4%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)

Outputs
#s(literal -1/3 binary64)

Calls

2 calls:

1.0ms	a
1.0ms	rand

Results

Accuracy	Segments	Branch
1.5%	1	`a`
1.5%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch221.0ms (1.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	2.1398505503477366e+69	2.3129369989294686e+77
195.0ms	-6.517894962763985e+81	-1.635537736828568e+76

Results

203.0ms

288×

valid

Compiler

Compiled 333 to 269 computations (19.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-mult: 182.0ms (94.6% of total)

ival-div: 5.0ms (2.6% of total)

ival-sub: 2.0ms (1% of total)

ival-sqrt: 2.0ms (1% of total)

ival-add: 1.0ms (0.5% of total)

const: 1.0ms (0.5% of total)

backward-pass: 0.0ms (0% of total)

bsearch49.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.1398505503477366e+69	2.3129369989294686e+77
20.0ms	-6.517894962763985e+81	-1.635537736828568e+76

Results

28.0ms

288×

valid

Compiler

Compiled 333 to 269 computations (19.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (38.9% of total)

ival-div: 5.0ms (27.8% of total)

ival-sub: 2.0ms (11.1% of total)

ival-add: 2.0ms (11.1% of total)

ival-sqrt: 2.0ms (11.1% of total)

const: 1.0ms (5.6% of total)

backward-pass: 0.0ms (0% of total)

bsearch43.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.1398505503477366e+69	2.3129369989294686e+77
20.0ms	-6.517894962763985e+81	-1.635537736828568e+76

Results

29.0ms

288×

valid

Compiler

Compiled 297 to 233 computations (21.5% saved)

Precisions

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

ival-mult: 6.0ms (35.7% of total)

ival-div: 5.0ms (29.8% of total)

ival-sub: 2.0ms (11.9% of total)

ival-sqrt: 2.0ms (11.9% of total)

ival-add: 1.0ms (6% of total)

const: 1.0ms (6% of total)

backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.1398505503477366e+69	2.3129369989294686e+77
19.0ms	-6.517894962763985e+81	-1.635537736828568e+76

Results

30.0ms

288×

valid

Compiler

Compiled 297 to 233 computations (21.5% saved)

Precisions

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

ival-div: 5.0ms (29.3% of total)

ival-mult: 5.0ms (29.3% of total)

ival-sqrt: 4.0ms (23.4% of total)

ival-sub: 2.0ms (11.7% of total)

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

const: 1.0ms (5.9% of total)

backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.1398505503477366e+69	2.3129369989294686e+77
19.0ms	-6.517894962763985e+81	-1.635537736828568e+76

Results

28.0ms

288×

valid

Compiler

Compiled 297 to 233 computations (21.5% saved)

Precisions

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

ival-mult: 6.0ms (35.9% of total)

ival-div: 5.0ms (29.9% of total)

ival-sqrt: 2.0ms (12% of total)

ival-sub: 1.0ms (6% of total)

ival-add: 1.0ms (6% of total)

const: 1.0ms (6% of total)

backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.184990306594638e+111	7.16719000298311e+111
23.0ms	-6.470905860385615e+135	-7.892414140247659e+127

Results

20.0ms

224×

valid

Compiler

Compiled 437 to 311 computations (28.8% saved)

Precisions

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

ival-div: 4.0ms (32.4% of total)

ival-mult: 4.0ms (32.4% of total)

ival-sqrt: 2.0ms (16.2% of total)

ival-sub: 1.0ms (8.1% of total)

ival-add: 1.0ms (8.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.184990306594638e+111	7.16719000298311e+111
22.0ms	-6.470905860385615e+135	-7.892414140247659e+127

Results

21.0ms

224×

valid

Compiler

Compiled 347 to 257 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 5.0ms (37.4% of total)

ival-div: 4.0ms (29.9% of total)

ival-sqrt: 2.0ms (14.9% of total)

ival-sub: 1.0ms (7.5% of total)

ival-add: 1.0ms (7.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.184990306594638e+111	7.16719000298311e+111
23.0ms	-6.470905860385615e+135	-7.892414140247659e+127

Results

21.0ms

224×

valid

Compiler

Compiled 337 to 257 computations (23.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 4.0ms (31.9% of total)

ival-mult: 4.0ms (31.9% of total)

ival-sqrt: 2.0ms (15.9% of total)

ival-sub: 1.0ms (8% of total)

ival-add: 1.0ms (8% of total)

const: 1.0ms (8% of total)

backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.184990306594638e+111	7.16719000298311e+111
20.0ms	-6.470905860385615e+135	-7.892414140247659e+127

Results

22.0ms

224×

valid

Compiler

Compiled 287 to 217 computations (24.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 5.0ms (36.1% of total)

ival-div: 4.0ms (28.9% of total)

ival-sqrt: 2.0ms (14.4% of total)

ival-sub: 1.0ms (7.2% of total)

ival-add: 1.0ms (7.2% of total)

const: 1.0ms (7.2% of total)

backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.184990306594638e+111	7.16719000298311e+111

Results

8.0ms

80×

valid

Compiler

Compiled 107 to 82 computations (23.4% saved)

Precisions

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

ival-mult: 3.0ms (53.8% of total)

ival-div: 1.0ms (17.9% of total)

ival-sqrt: 1.0ms (17.9% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

62×	`*-commutative_binary64`
36×	`+-commutative_binary64`
6×	`sub-neg_binary64`
6×	`if-if-or-not_binary32`
4×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	341
1	180	341
2	187	341
3	191	341
4	193	341

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.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 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
(+.f64 (/.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 3 binary64)) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -9400000000000000120977655409713359029673606855162112413981388206245787499233280 binary64)) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64))) (if (<=.f64 rand #s(literal 16000000000000001160502982104467762018533990554344351288291362487664640 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))))
(if (<=.f64 rand #s(literal -499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 23500000000000001587994573931475618007753691010835363052715865541848736989184 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))))
(if (<=.f64 rand #s(literal -1019999999999999923920009160321385864690934421387184821602002004627489881570934784 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 62000000000000002274953121042543004310884691792308069729646801603252012974080 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))))
(if (<=.f64 rand #s(literal -215999999999999996898108557713357716383248356041280778085112209283064541629906944 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 4999999999999999915168483974806628990154540120342328160919227099783364608 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(if (<=.f64 rand #s(literal -679999999999999993434378394999952707618962679547028431438080397586052920901632 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 1550000000000000056873828026063575107772117294807701743241170040081300324352 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -679999999999999971698982363624759704430631561907666009304528722571364889081563446239105003072410325459340429424011629401281159757824 binary64)) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 (.f64 a a) #s(literal -729 binary64))))))) (if (<=.f64 rand #s(literal 7000000000000000365234357216777111057280014518793683785912936745814168861798282861521264823082198136488894398464 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (*.f64 a #s(literal 243 binary64)))))))))
(if (<=.f64 rand #s(literal -4600000000000000304553664579133289261013953591183232079828529822077208775606740283887149085513544604145713407596075559633277841047552 binary64)) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64))) (if (<=.f64 rand #s(literal 7000000000000000365234357216777111057280014518793683785912936745814168861798282861521264823082198136488894398464 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a #s(literal 243 binary64)))))))))
(if (<=.f64 rand #s(literal -67999999999999997485114285933631804141295476991915511371090786420860062251742691857876274479218717437248172981480488066581139898236928 binary64)) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64))) (if (<=.f64 rand #s(literal 7000000000000000365234357216777111057280014518793683785912936745814168861798282861521264823082198136488894398464 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))))
(if (<=.f64 rand #s(literal -3999999999999999992869774256740965663955715475037650001746173358919761607623618597988463064569074240039108703867006661504928841728 binary64)) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64))) (if (<=.f64 rand #s(literal 7000000000000000365234357216777111057280014518793683785912936745814168861798282861521264823082198136488894398464 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))))
(if (<=.f64 rand #s(literal 7000000000000000365234357216777111057280014518793683785912936745814168861798282861521264823082198136488894398464 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64)))
(+.f64 #s(literal -1/3 binary64) a)
a
#s(literal -1/3 binary64)

Outputs
(.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 #s(literal 1 binary64) (/.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 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (/.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 3 binary64)) a)
(+.f64 a (/.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 3 binary64)))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(+.f64 a (*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64))))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 a (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))))
(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(+.f64 a (.f64 (.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))
(if (<=.f64 rand #s(literal -9400000000000000120977655409713359029673606855162112413981388206245787499233280 binary64)) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64))) (if (<=.f64 rand #s(literal 16000000000000001160502982104467762018533990554344351288291362487664640 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))))
(if (<=.f64 rand #s(literal -9400000000000000120977655409713359029673606855162112413981388206245787499233280 binary64)) (.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (if (<=.f64 rand #s(literal 16000000000000001160502982104467762018533990554344351288291362487664640 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(if (<=.f64 rand #s(literal -499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 23500000000000001587994573931475618007753691010835363052715865541848736989184 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))))
(if (<=.f64 rand #s(literal -499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64))) (if (<=.f64 rand #s(literal 23500000000000001587994573931475618007753691010835363052715865541848736989184 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)))))
(if (<=.f64 rand #s(literal -1019999999999999923920009160321385864690934421387184821602002004627489881570934784 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 62000000000000002274953121042543004310884691792308069729646801603252012974080 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))))
(if (<=.f64 rand #s(literal -1019999999999999923920009160321385864690934421387184821602002004627489881570934784 binary64)) (.f64 (.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (if (<=.f64 rand #s(literal 62000000000000002274953121042543004310884691792308069729646801603252012974080 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))))
(if (<=.f64 rand #s(literal -215999999999999996898108557713357716383248356041280778085112209283064541629906944 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 4999999999999999915168483974806628990154540120342328160919227099783364608 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(if (<=.f64 rand #s(literal -215999999999999996898108557713357716383248356041280778085112209283064541629906944 binary64)) (.f64 (.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (if (<=.f64 rand #s(literal 4999999999999999915168483974806628990154540120342328160919227099783364608 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(if (<=.f64 rand #s(literal -679999999999999993434378394999952707618962679547028431438080397586052920901632 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 1550000000000000056873828026063575107772117294807701743241170040081300324352 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -679999999999999993434378394999952707618962679547028431438080397586052920901632 binary64)) (.f64 (.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (if (<=.f64 rand #s(literal 1550000000000000056873828026063575107772117294807701743241170040081300324352 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))
(if (<=.f64 rand #s(literal -679999999999999971698982363624759704430631561907666009304528722571364889081563446239105003072410325459340429424011629401281159757824 binary64)) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 (.f64 a a) #s(literal -729 binary64))))))) (if (<=.f64 rand #s(literal 7000000000000000365234357216777111057280014518793683785912936745814168861798282861521264823082198136488894398464 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (*.f64 a #s(literal 243 binary64)))))))))
(if (<=.f64 rand #s(literal -679999999999999971698982363624759704430631561907666009304528722571364889081563446239105003072410325459340429424011629401281159757824 binary64)) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 (.f64 a a) #s(literal -729 binary64))))))) (if (<=.f64 rand #s(literal 7000000000000000365234357216777111057280014518793683785912936745814168861798282861521264823082198136488894398464 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (*.f64 a #s(literal 243 binary64)))))))))
(if (<=.f64 rand #s(literal -4600000000000000304553664579133289261013953591183232079828529822077208775606740283887149085513544604145713407596075559633277841047552 binary64)) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64))) (if (<=.f64 rand #s(literal 7000000000000000365234357216777111057280014518793683785912936745814168861798282861521264823082198136488894398464 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a #s(literal 243 binary64)))))))))
(if (<=.f64 rand #s(literal -4600000000000000304553664579133289261013953591183232079828529822077208775606740283887149085513544604145713407596075559633277841047552 binary64)) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64))) (if (<=.f64 rand #s(literal 7000000000000000365234357216777111057280014518793683785912936745814168861798282861521264823082198136488894398464 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a #s(literal 243 binary64)))))))))
(if (<=.f64 rand #s(literal -67999999999999997485114285933631804141295476991915511371090786420860062251742691857876274479218717437248172981480488066581139898236928 binary64)) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64))) (if (<=.f64 rand #s(literal 7000000000000000365234357216777111057280014518793683785912936745814168861798282861521264823082198136488894398464 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))))
(if (<=.f64 rand #s(literal -67999999999999997485114285933631804141295476991915511371090786420860062251742691857876274479218717437248172981480488066581139898236928 binary64)) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64))) (if (<=.f64 rand #s(literal 7000000000000000365234357216777111057280014518793683785912936745814168861798282861521264823082198136488894398464 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a (.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))))
(if (<=.f64 rand #s(literal -3999999999999999992869774256740965663955715475037650001746173358919761607623618597988463064569074240039108703867006661504928841728 binary64)) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64))) (if (<=.f64 rand #s(literal 7000000000000000365234357216777111057280014518793683785912936745814168861798282861521264823082198136488894398464 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))))
(if (<=.f64 rand #s(literal -3999999999999999992869774256740965663955715475037650001746173358919761607623618597988463064569074240039108703867006661504928841728 binary64)) (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (.f64 a #s(literal -27 binary64))) (if (<=.f64 rand #s(literal 7000000000000000365234357216777111057280014518793683785912936745814168861798282861521264823082198136488894398464 binary64)) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64))))
(if (<=.f64 rand #s(literal 7000000000000000365234357216777111057280014518793683785912936745814168861798282861521264823082198136488894398464 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64)))
(if (<=.f64 rand #s(literal 7000000000000000365234357216777111057280014518793683785912936745814168861798282861521264823082198136488894398464 binary64)) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1/3 binary64)))
(+.f64 #s(literal -1/3 binary64) a)
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)

soundness3.4s (26.8%)

Rules

4588×	`-lowering-.f32`
4588×	`-lowering-.f64`
4370×	`/-lowering-/.f32`
4370×	`/-lowering-/.f64`
4184×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	300	2147
1	917	1949
2	3373	1916
3	7613	1912
0	8523	1912
0	30	158
1	181	143
2	2171	141
0	8344	141
0	30	106
1	178	97
2	1542	97
0	8439	97
0	29	89
1	190	87
2	2115	87
0	8656	87
0	463	5839
1	1562	4929
2	6361	4874
0	8120	4874
0	14	14
1	33	13
2	85	12
3	228	12
4	553	12
5	999	12
6	1613	12
7	2818	12
8	7396	12
9	7835	12
10	7992	12
0	8119	12
0	300	1896
1	936	1720
2	3372	1697
3	7289	1693
0	8176	1693
0	356	3591
1	1186	3090
2	4424	3033
0	8143	3033

Stop Event

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

Compiler

Compiled 1677 to 1063 computations (36.6% saved)

preprocess112.0ms (0.9%)

Compiler: Compiled 768 to 256 computations (66.7% saved)

analyze23.0ms (0.2%)

sample1.3s (10.2%)

preprocess230.0ms (1.8%)

explain234.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify138.0ms (1.1%)

localize116.0ms (0.9%)

series19.0ms (0.2%)

rewrite398.0ms (3.1%)

simplify314.0ms (2.4%)

eval186.0ms (1.5%)

prune202.0ms (1.6%)

simplify375.0ms (2.9%)

localize216.0ms (1.7%)

series47.0ms (0.4%)

rewrite471.0ms (3.7%)

simplify417.0ms (3.3%)

eval296.0ms (2.3%)

prune240.0ms (1.9%)

simplify156.0ms (1.2%)

localize247.0ms (1.9%)

series43.0ms (0.3%)

rewrite385.0ms (3%)

simplify269.0ms (2.1%)

eval202.0ms (1.6%)

prune173.0ms (1.4%)

simplify179.0ms (1.4%)

localize179.0ms (1.4%)

series32.0ms (0.2%)

rewrite357.0ms (2.8%)

simplify306.0ms (2.4%)

eval125.0ms (1%)

prune210.0ms (1.6%)

regimes208.0ms (1.6%)

regimes39.0ms (0.3%)

regimes34.0ms (0.3%)

regimes35.0ms (0.3%)

regimes30.0ms (0.2%)

regimes30.0ms (0.2%)

regimes30.0ms (0.2%)

regimes18.0ms (0.1%)

regimes15.0ms (0.1%)

regimes28.0ms (0.2%)

regimes26.0ms (0.2%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0%)

regimes6.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch221.0ms (1.7%)

bsearch49.0ms (0.4%)

bsearch43.0ms (0.3%)

bsearch44.0ms (0.3%)

bsearch44.0ms (0.3%)

bsearch39.0ms (0.3%)

bsearch36.0ms (0.3%)

bsearch38.0ms (0.3%)

bsearch33.0ms (0.3%)

bsearch13.0ms (0.1%)

simplify55.0ms (0.4%)

soundness3.4s (26.8%)

preprocess112.0ms (0.9%)

end0.0ms (0%)

Profiling