Metrics for Octave 3.8, oct_fill

analyze40.0ms (0.3%)

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: 31.0ms

ival-mult: 25.0ms (80.4% of total)

ival-div: 2.0ms (6.4% of total)

ival-sub: 1.0ms (3.2% of total)

ival-add: 1.0ms (3.2% of total)

ival-sqrt: 1.0ms (3.2% of total)

const: 0.0ms (0% of total)

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

sample1.2s (9.8%)

Results

842.0ms	8256×	0	valid
43.0ms	490×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 603.0ms

ival-mult: 194.0ms (32.2% of total)

ival-div: 174.0ms (28.9% of total)

ival-sqrt: 107.0ms (17.7% of total)

ival-add: 57.0ms (9.5% of total)

ival-sub: 49.0ms (8.1% of total)

const: 18.0ms (3% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess225.0ms (1.9%)

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))

explain172.0ms (1.5%)

FPErrors

Click to see full error table

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

Results

76.0ms	476×	0	valid
13.0ms	20×	2	valid
3.0ms	4×	5	exit
3.0ms	12×	1	valid

Compiler

Compiled 196 to 41 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-div: 22.0ms (42.4% of total)

ival-mult: 16.0ms (30.9% of total)

ival-sqrt: 5.0ms (9.6% of total)

ival-sub: 3.0ms (5.8% of total)

ival-add: 3.0ms (5.8% of total)

backward-pass: 2.0ms (3.9% of total)

const: 1.0ms (1.9% of total)

eval2.0ms (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)

simplify129.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
✓	cost-diff	256	(.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	256	(+.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	384	(.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	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

localize93.0ms (0.8%)

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	99.6%	(.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	99.4%	(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	99.7%	(/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))
✓	accuracy	99.4%	(sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))

Results

52.0ms	238×	0	valid
6.0ms	10×	2	valid
3.0ms	2×	5	exit
3.0ms	6×	1	valid

Compiler

Compiled 138 to 21 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 11.0ms (28.9% of total)

ival-div: 6.0ms (15.8% of total)

...c/correct-round.rkt:119:19: 6.0ms (15.8% of total)

ival-add: 6.0ms (15.8% of total)

ival-sqrt: 5.0ms (13.1% of total)

const: 1.0ms (2.6% of total)

ival-sub: 1.0ms (2.6% of total)

backward-pass: 1.0ms (2.6% of total)

series21.0ms (0.2%)

Counts

13 → 228

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

57 calls:

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

rewrite306.0ms (2.6%)

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	98
1	122	94
2	860	83
0	9037	83

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 758

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

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

simplify294.0ms (2.5%)

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	4072
1	1186	3499
2	4421	3441
0	8140	3441

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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

eval176.0ms (1.5%)

Compiler: Compiled 31329 to 2986 computations (90.5% saved)

prune117.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	1095	9	1104
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	1096	10	1106

Accuracy

100.0%

Counts

1106 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.3%	(fma.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
▶	99.9%	(+.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))
▶	63.7%	(+.f64 #s(literal -1/3 binary64) a)
▶	99.0%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
✓	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))))))
	99.0%	(.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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))
	37.5%	(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
	77.9%	(.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)))
▶	97.0%	(.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 266 to 185 computations (30.5% saved)

simplify215.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1/3 binary64) a)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))
✓	cost-diff	256	(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
✓	cost-diff	256	(.f64 (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))) (+.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 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 #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 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))

Rules

2704×	`-lowering-.f32`
2704×	`-lowering-.f64`
2598×	`+-lowering-+.f64`
2598×	`+-lowering-+.f32`
1906×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	183
1	85	181
2	255	175
3	769	172
4	1853	172
5	3429	172
6	4776	172
7	6270	172
0	8263	172

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize248.0ms (2.1%)

Localize:

Found 17 expressions of interest:

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

Results

168.0ms	238×	0	valid
12.0ms	10×	2	valid
4.0ms	6×	1	valid
4.0ms	2×	5	exit

Compiler

Compiled 196 to 32 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-sqrt: 93.0ms (65.5% of total)

ival-mult: 19.0ms (13.4% of total)

ival-add: 10.0ms (7% of total)

...c/correct-round.rkt:119:19: 9.0ms (6.3% of total)

ival-div: 8.0ms (5.6% of total)

backward-pass: 2.0ms (1.4% of total)

const: 1.0ms (0.7% of total)

series55.0ms (0.5%)

Counts

22 → 384

Calls

Call 1

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

Outputs
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<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)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<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 (* 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 (* (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 -1/3>
#<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 (* (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 (* (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 (* 1/3 (/ 1 a))))>
#<alt (+ (* 1/3 (* (* a (* rand (- 1 (* 1/3 (/ 1 a))))) (sqrt (/ 1 (- a 1/3))))) (* a (- 1 (* 1/3 (/ 1 a)))))>
#<alt (+ (* 1/3 (* (* a (* rand (- 1 (* 1/3 (/ 1 a))))) (sqrt (/ 1 (- a 1/3))))) (* a (- 1 (* 1/3 (/ 1 a)))))>
#<alt (+ (* 1/3 (* (* a (* rand (- 1 (* 1/3 (/ 1 a))))) (sqrt (/ 1 (- a 1/3))))) (* a (- 1 (* 1/3 (/ 1 a)))))>
#<alt (* 1/3 (* (* a (* rand (- 1 (* 1/3 (/ 1 a))))) (sqrt (/ 1 (- a 1/3)))))>
#<alt (* rand (+ (* 1/3 (* (* a (- 1 (* 1/3 (/ 1 a)))) (sqrt (/ 1 (- a 1/3))))) (/ (* a (- 1 (* 1/3 (/ 1 a)))) rand)))>
#<alt (* rand (+ (* 1/3 (* (* a (- 1 (* 1/3 (/ 1 a)))) (sqrt (/ 1 (- a 1/3))))) (/ (* a (- 1 (* 1/3 (/ 1 a)))) rand)))>
#<alt (* rand (+ (* 1/3 (* (* a (- 1 (* 1/3 (/ 1 a)))) (sqrt (/ 1 (- a 1/3))))) (/ (* a (- 1 (* 1/3 (/ 1 a)))) rand)))>
#<alt (* 1/3 (* (* a (* rand (- 1 (* 1/3 (/ 1 a))))) (sqrt (/ 1 (- a 1/3)))))>
#<alt (* -1 (* rand (+ (* -1 (/ (* a (- 1 (* 1/3 (/ 1 a)))) rand)) (* -1/3 (* (* a (- 1 (* 1/3 (/ 1 a)))) (sqrt (/ 1 (- a 1/3))))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (* a (- 1 (* 1/3 (/ 1 a)))) rand)) (* -1/3 (* (* a (- 1 (* 1/3 (/ 1 a)))) (sqrt (/ 1 (- a 1/3))))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (* a (- 1 (* 1/3 (/ 1 a)))) rand)) (* -1/3 (* (* a (- 1 (* 1/3 (/ 1 a)))) (sqrt (/ 1 (- 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 (/ -1/3 a)>
#<alt (/ (- a 1/3) a)>
#<alt (/ (- a 1/3) a)>
#<alt (/ (- a 1/3) a)>
#<alt 1>
#<alt (- 1 (* 1/3 (/ 1 a)))>
#<alt (- 1 (* 1/3 (/ 1 a)))>
#<alt (- 1 (* 1/3 (/ 1 a)))>
#<alt 1>
#<alt (- 1 (* 1/3 (/ 1 a)))>
#<alt (- 1 (* 1/3 (/ 1 a)))>
#<alt (- 1 (* 1/3 (/ 1 a)))>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<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 (* 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 (* 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 -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

96 calls:

Time	Variable		Point	Expression
28.0ms	rand	@	0	(* (* a (+ 1 (/ -1/3 a))) (+ 1 (/ rand (sqrt (* (+ a -1/3) 9)))))
3.0ms	a	@	-inf	(* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
1.0ms	a	@	-inf	(sqrt (+ -1/3 a))
1.0ms	a	@	-inf	(* (+ a -1/3) (+ 1 (/ rand (* 3 (sqrt a)))))
1.0ms	a	@	0	(* (* a (+ 1 (/ -1/3 a))) (+ 1 (/ rand (sqrt (* (+ a -1/3) 9)))))

rewrite347.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3334×	`/-lowering-/.f32`
3334×	`/-lowering-/.f64`
2998×	`-lowering-.f32`
2998×	`-lowering-.f64`
1822×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	144
1	200	133
2	2172	123
0	9067	123

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 846

Calls

Call 1

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

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

simplify358.0ms (3%)

Algorithm

1×	egg-herbie

Rules

4886×	`-lowering-.f32`
4886×	`-lowering-.f64`
2854×	`+-lowering-+.f64`
2854×	`+-lowering-+.f32`
1596×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	516	4455
1	1761	3962
2	6981	3943
0	8118	3943

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

eval188.0ms (1.6%)

Compiler: Compiled 31974 to 3487 computations (89.1% saved)

prune184.0ms (1.6%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1493	16	1509
Fresh	3	1	4
Picked	4	1	5
Done	0	1	1
Total	1500	19	1519

Accuracy

100.0%

Counts

1519 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.5%	(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
	23.8%	(/.f64 (+.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)))))
	38.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
▶	23.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))
▶	99.8%	(+.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (/.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64))))
	97.0%	(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
	99.8%	(+.f64 (.f64 (.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) rand) #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
✓	63.7%	(+.f64 #s(literal -1/3 binary64) a)
▶	38.5%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
✓	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))))))
	97.0%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
	63.7%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) a)
	23.7%	(.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
	37.5%	(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
	75.0%	(.f64 rand (+.f64 (/.f64 a rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
▶	36.6%	(.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
	36.6%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
	61.7%	a
▶	1.5%	#s(literal -1/3 binary64)

Compiler

Compiled 431 to 311 computations (27.8% saved)

simplify227.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) 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 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
✓	cost-diff	0	(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.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	128	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
✓	cost-diff	64	(pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))
✓	cost-diff	64	(/.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))
✓	cost-diff	64	(*.f64 (/.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64)))
✓	cost-diff	192	(+.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (/.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64))))

Rules

2248×	`sum3-define`
1892×	`fnmadd-define`
1646×	`sum4-define`
1318×	`fma-lowering-fma.f32`
1318×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	32	166
1	76	162
2	171	159
3	353	159
4	563	158
5	824	158
6	1424	158
7	2760	158
8	6015	156
0	8286	156

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (+ -1/3 a) (* (/ rand (pow (+ -1/3 a) 1/2)) (/ (+ -1/3 a) 3)))
(+ -1/3 a)
-1/3
a
(* (/ rand (pow (+ -1/3 a) 1/2)) (/ (+ -1/3 a) 3))
(/ rand (pow (+ -1/3 a) 1/2))
rand
(pow (+ -1/3 a) 1/2)
1/2
(/ (+ -1/3 a) 3)
3
-1/3
(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))
(- 1/9 (* a a))
1/9
(* a a)
a
(/ 1 (- -1/3 a))
1
(- -1/3 a)
-1/3
(/ 1 (/ (+ 1/9 (* a (+ a 1/3))) (+ -1/27 (* a (* a a)))))
1
(/ (+ 1/9 (* a (+ a 1/3))) (+ -1/27 (* a (* a a))))
(+ 1/9 (* a (+ a 1/3)))
1/9
(* a (+ a 1/3))
a
(+ a 1/3)
1/3
(+ -1/27 (* a (* a a)))
-1/27
(* a (* a a))
(* a a)
(* a (* (sqrt (/ 1 a)) (* 1/3 rand)))
a
(* (sqrt (/ 1 a)) (* 1/3 rand))
(sqrt (/ 1 a))
(/ 1 a)
1
(* 1/3 rand)
1/3
rand

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

localize163.0ms (1.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	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	90.8%	(.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
✓	accuracy	100.0%	(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
✓	accuracy	99.8%	(.f64 a (.f64 a a))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))
✓	accuracy	38.4%	(/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a))))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))
✓	accuracy	54.0%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
✓	accuracy	100.0%	(pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64))
✓	accuracy	99.6%	(/.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))
✓	accuracy	90.8%	(*.f64 (/.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64)))

Results

120.0ms

256×

valid

Compiler

Compiled 189 to 33 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

...c/correct-round.rkt:119:19: 23.0ms (29.7% of total)

ival-mult: 18.0ms (23.3% of total)

ival-div: 15.0ms (19.4% of total)

ival-add: 8.0ms (10.3% of total)

ival-pow: 8.0ms (10.3% of total)

ival-sub: 2.0ms (2.6% of total)

ival-sqrt: 2.0ms (2.6% of total)

const: 1.0ms (1.3% of total)

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

series20.0ms (0.2%)

Counts

19 → 288

Calls

Call 1

Inputs
#<alt (+ (+ -1/3 a) (* (/ rand (pow (+ -1/3 a) 1/2)) (/ (+ -1/3 a) 3)))>
#<alt (* (/ rand (pow (+ -1/3 a) 1/2)) (/ (+ -1/3 a) 3))>
#<alt (/ rand (pow (+ -1/3 a) 1/2))>
#<alt (pow (+ -1/3 a) 1/2)>
#<alt (* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))>
#<alt (- 1/9 (* a a))>
#<alt (* a a)>
#<alt (/ 1 (- -1/3 a))>
#<alt (/ 1 (/ (+ 1/9 (* a (+ a 1/3))) (+ -1/27 (* a (* a a)))))>
#<alt (/ (+ 1/9 (* a (+ a 1/3))) (+ -1/27 (* a (* a a))))>
#<alt (+ 1/9 (* a (+ a 1/3)))>
#<alt (* a (+ a 1/3))>
#<alt (* a (* (sqrt (/ 1 a)) (* 1/3 rand)))>
#<alt (* (sqrt (/ 1 a)) (* 1/3 rand))>
#<alt (sqrt (/ 1 a))>
#<alt (/ 1 a)>
#<alt (/ (+ -1/3 a) 3)>
#<alt (* a (* a a))>
#<alt (* 1/3 rand)>

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

Calls

72 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	(/ 1 (/ (+ 1/9 (* a (+ a 1/3))) (+ -1/27 (* a (* a a)))))
2.0ms	a	@	-inf	(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))
1.0ms	a	@	-inf	(pow (+ -1/3 a) 1/2)
1.0ms	a	@	-inf	(+ (+ -1/3 a) (* (/ rand (pow (+ -1/3 a) 1/2)) (/ (+ -1/3 a) 3)))
1.0ms	a	@	-inf	(/ 1 (/ (+ 1/9 (* a (+ a 1/3))) (+ -1/27 (* a (* a a)))))

rewrite743.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4180×	`/-lowering-/.f32`
4180×	`/-lowering-/.f64`
3426×	`-lowering-.f32`
3426×	`-lowering-.f64`
1682×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	112
1	203	99
2	1924	88
0	9254	88

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1101

Calls

Call 1

Inputs
(+ (+ -1/3 a) (* (/ rand (pow (+ -1/3 a) 1/2)) (/ (+ -1/3 a) 3)))
(* (/ rand (pow (+ -1/3 a) 1/2)) (/ (+ -1/3 a) 3))
(/ rand (pow (+ -1/3 a) 1/2))
(pow (+ -1/3 a) 1/2)
(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))
(- 1/9 (* a a))
(* a a)
(/ 1 (- -1/3 a))
(/ 1 (/ (+ 1/9 (* a (+ a 1/3))) (+ -1/27 (* a (* a a)))))
(/ (+ 1/9 (* a (+ a 1/3))) (+ -1/27 (* a (* a a))))
(+ 1/9 (* a (+ a 1/3)))
(* a (+ a 1/3))
(* a (* (sqrt (/ 1 a)) (* 1/3 rand)))
(* (sqrt (/ 1 a)) (* 1/3 rand))
(sqrt (/ 1 a))
(/ 1 a)
(/ (+ -1/3 a) 3)
(* a (* a a))
(* 1/3 rand)

Outputs
(+.f64 #s(literal -1/3 binary64) (+.f64 a (/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(+.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(+.f64 (/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 a (/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/3 binary64))
(+.f64 (+.f64 (/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1/3 binary64)) a)
(-.f64 (/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (/.f64 (/.f64 (.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a))) (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (+.f64 a (/.f64 (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))))) (/.f64 (pow.f64 (+.f64 a (/.f64 (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 a (/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a))) (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (/.f64 (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (/.f64 (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))))
(fma.f64 a #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(fma.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(fma.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 rand (/.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 rand (/.f64 (-.f64 (/.f64 a #s(literal 3 binary64)) #s(literal 1/9 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (-.f64 (/.f64 a #s(literal 3 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 (-.f64 (/.f64 a #s(literal 3 binary64)) #s(literal 1/9 binary64)) (/.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(fma.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))) (/.f64 (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(fma.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 1/3 binary64) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a))) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (/.f64 (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(fma.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 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))))) (/.f64 (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/4 binary64))) (/.f64 (-.f64 (/.f64 a #s(literal 3 binary64)) #s(literal 1/9 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/4 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(fma.f64 (/.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 1/27 binary64) (.f64 #s(literal -1 binary64) (.f64 a (.f64 a a)))) (/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(fma.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 #s(literal -1/3 binary64) a))) (/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (+.f64 a #s(literal 1/3 binary64))) (.f64 a (.f64 (+.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 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 (+.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 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (/.f64 (.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a))) (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a))) (pow.f64 (/.f64 (*.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a))) (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal -1/3 binary64) a)) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (-.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a))) (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal -1/3 binary64) a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (/.f64 (.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a))) (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a))) (pow.f64 (/.f64 (*.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a))) (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal -1/3 binary64) a)) #s(literal 3/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (-.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a))) (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal -1/3 binary64) a))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a))) (pow.f64 (/.f64 (.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a))) (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal -1/3 binary64) a)) #s(literal 3/2 binary64))) (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (/.f64 (.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a))) (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a))) (pow.f64 (/.f64 (.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a))) (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal -1/3 binary64) a)) #s(literal 3/2 binary64))) (+.f64 (/.f64 (.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a))) (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a))) (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal -1/3 binary64) a))) (-.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 (-.f64 #s(literal -1/3 binary64) a) (.f64 (+.f64 #s(literal -1/3 binary64) a) rand))) (.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal -1/3 binary64) a) (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (.f64 (-.f64 #s(literal -1/3 binary64) a) (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a))))) (.f64 (-.f64 #s(literal -1/3 binary64) a) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (.f64 (+.f64 #s(literal -1/3 binary64) a) rand))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) #s(literal 3 binary64)) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (/.f64 rand (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a))))) (.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (-.f64 #s(literal -1/3 binary64) a)) (.f64 (.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))) (.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))) (.f64 (.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))))) (.f64 (.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (-.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 3 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (.f64 (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))) (.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))))) (.f64 #s(literal 3 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/3 binary64) a)) #s(literal -3 binary64))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1 binary64) (.f64 a (.f64 a a)))) (neg.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a))) (neg.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal 1/3 binary64)) (-.f64 #s(literal -1/3 binary64) a))
(/.f64 (.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) #s(literal 1/3 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/3 binary64) a)))) #s(literal -3 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) #s(literal 1/3 binary64))) (+.f64 (neg.f64 (.f64 a (+.f64 a #s(literal 1/3 binary64)))) #s(literal -1/9 binary64)))
(pow.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/3 binary64))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(literal 1/3 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 a #s(literal 3 binary64)) #s(literal 1/9 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/27 binary64) (/.f64 (.f64 a a) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/3 binary64) 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 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(.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 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
(.f64 (/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (+.f64 a #s(literal 1/3 binary64))) (.f64 a (.f64 (+.f64 a #s(literal 1/3 binary64)) (.f64 a (+.f64 a #s(literal 1/3 binary64)))))))) (/.f64 #s(literal 1/3 binary64) (/.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)))))))
(.f64 (/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 (+.f64 a #s(literal 1/3 binary64)) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (/.f64 #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 (-.f64 #s(literal 1/27 binary64) (/.f64 (.f64 a a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))) #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 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))) (/.f64 #s(literal 1/3 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))))) (/.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) #s(literal 3 binary64)) (/.f64 (/.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 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.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 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 (+.f64 #s(literal -1/19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a)))))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (+.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))))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 a)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)))
(/.f64 (.f64 a (.f64 a a)) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 a a))) #s(literal -1 binary64))
(pow.f64 a #s(literal 3 binary64))
(pow.f64 (*.f64 a a) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 2 binary64))
(.f64 a (.f64 a a))
(.f64 (.f64 a a) a)
(.f64 (.f64 a (*.f64 a a)) #s(literal 1 binary64))
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)

simplify320.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

5094×	`+-lowering-+.f64`
5094×	`+-lowering-+.f32`
4326×	`-lowering-.f32`
4326×	`-lowering-.f64`
1284×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	403	2496
1	1268	2310
2	4279	2285
0	8332	2285

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

eval203.0ms (1.7%)

Compiler: Compiled 34212 to 3708 computations (89.2% saved)

prune163.0ms (1.4%)

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1389	19	1408
Fresh	7	5	12
Picked	4	1	5
Done	0	2	2
Total	1400	27	1427

Accuracy

100.0%

Counts

1427 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
	8.6%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))
	61.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
▶	10.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
	19.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))))
▶	99.8%	(+.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64))))
	99.8%	(+.f64 (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)))
	97.0%	(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
✓	63.7%	(+.f64 #s(literal -1/3 binary64) a)
	20.0%	(.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 binary64) (-.f64 #s(literal -1/3 binary64) a)))
	36.5%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
	9.5%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))))
	10.2%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))
	9.2%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
	10.4%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
✓	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))))))
	63.7%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) a)
▶	15.4%	(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (/.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 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
	36.6%	(.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
	36.7%	(.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
	36.7%	(.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
▶	37.5%	(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
	75.0%	(.f64 rand (+.f64 (/.f64 a rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
	36.6%	(.f64 a (.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))))
	36.6%	(.f64 a (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand))
▶	61.7%	a
✓	1.5%	#s(literal -1/3 binary64)

Compiler

Compiled 792 to 518 computations (34.6% saved)

simplify165.0ms (1.4%)

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 (.f64 (.f64 a a) (.f64 a (*.f64 a a))))
✓	cost-diff	0	(-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (*.f64 a a)))))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
✓	cost-diff	256	(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (/.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 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
✓	cost-diff	0	(.f64 a (.f64 a a))
✓	cost-diff	0	(+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))
✓	cost-diff	0	(/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
✓	cost-diff	0	(/.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
✓	cost-diff	0	(*.f64 (/.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64)))
✓	cost-diff	0	(+.f64 #s(literal -1/3 binary64) a)
✓	cost-diff	128	(+.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64))))

Rules

2588×	`-lowering-.f32`
2588×	`-lowering-.f64`
1996×	`fma-define`
1994×	`sum3-define`
1418×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	229
1	88	200
2	224	197
3	520	195
4	1422	194
5	2732	194
6	7572	194
0	8226	194

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize215.0ms (1.8%)

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	99.6%	(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) rand)
✓	accuracy	99.8%	(.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
✓	accuracy	54.0%	(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (/.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 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
✓	accuracy	23.7%	(.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
✓	accuracy	100.0%	(+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
✓	accuracy	99.8%	(.f64 a (.f64 a a))
✓	accuracy	99.5%	(/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64))
✓	accuracy	99.6%	(/.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
✓	accuracy	90.8%	(*.f64 (/.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64)))

Results

131.0ms

256×

valid

Compiler

Compiled 268 to 35 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 43.0ms (50.5% of total)

...c/correct-round.rkt:119:19: 20.0ms (23.5% of total)

ival-div: 10.0ms (11.7% of total)

ival-add: 7.0ms (8.2% of total)

ival-sub: 2.0ms (2.3% of total)

ival-sqrt: 2.0ms (2.3% of total)

const: 1.0ms (1.2% of total)

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

series11.0ms (0.1%)

Counts

18 → 264

Calls

Call 1

Inputs
#<alt (+ (+ -1/3 a) (* (/ rand (sqrt (+ -1/3 a))) (/ (+ -1/3 a) 3)))>
#<alt (+ -1/3 a)>
#<alt (* (/ rand (sqrt (+ -1/3 a))) (/ (+ -1/3 a) 3))>
#<alt (/ rand (sqrt (+ -1/3 a)))>
#<alt (/ 1 (/ 1/9 (+ -1/27 (* a (* a a)))))>
#<alt (/ 1/9 (+ -1/27 (* a (* a a))))>
#<alt (+ -1/27 (* a (* a a)))>
#<alt (* a (* a a))>
#<alt (* (* (- 1/729 (* a (* (* a a) (* a (* a a))))) (/ 1 (+ 1/81 (* (* a a) (+ 1/9 (* a a)))))) (/ 1 (- -1/3 a)))>
#<alt (* (- 1/729 (* a (* (* a a) (* a (* a a))))) (/ 1 (+ 1/81 (* (* a a) (+ 1/9 (* a a))))))>
#<alt (- 1/729 (* a (* (* a a) (* a (* a a)))))>
#<alt (* a (* (* a a) (* a (* a a))))>
#<alt (* (sqrt (+ -1/3 a)) (* 1/3 rand))>
#<alt (sqrt (+ -1/3 a))>
#<alt (* 1/3 rand)>
#<alt (/ (+ -1/3 a) 3)>
#<alt (/ 1 (+ 1/81 (* (* a a) (+ 1/9 (* a a)))))>
#<alt (* (* a a) (+ 1/9 (* a a)))>

Outputs
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<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 (* 1/3 (* 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 (* 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))>
#<alt (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))>
#<alt (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand))))))>
#<alt (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)))))))>
#<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 -1/3>
#<alt (- (* 9 (pow a 3)) 1/3)>
#<alt (- (* 9 (pow a 3)) 1/3)>
#<alt (- (* 9 (pow a 3)) 1/3)>
#<alt (* 9 (pow a 3))>
#<alt (* (pow a 3) (- 9 (* 1/3 (/ 1 (pow a 3)))))>
#<alt (* (pow a 3) (- 9 (* 1/3 (/ 1 (pow a 3)))))>
#<alt (* (pow a 3) (- 9 (* 1/3 (/ 1 (pow a 3)))))>
#<alt (* 9 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- (* 1/3 (/ 1 (pow a 3))) 9)))>
#<alt (* -1 (* (pow a 3) (- (* 1/3 (/ 1 (pow a 3))) 9)))>
#<alt (* -1 (* (pow a 3) (- (* 1/3 (/ 1 (pow a 3))) 9)))>
#<alt -3>
#<alt (- (* -81 (pow a 3)) 3)>
#<alt (- (* (pow a 3) (- (* -2187 (pow a 3)) 81)) 3)>
#<alt (- (* (pow a 3) (- (* (pow a 3) (- (* -59049 (pow a 3)) 2187)) 81)) 3)>
#<alt (/ 1/9 (pow a 3))>
#<alt (/ (+ 1/9 (* 1/243 (/ 1 (pow a 3)))) (pow a 3))>
#<alt (/ (+ 1/9 (+ (/ 1/6561 (pow a 6)) (* 1/243 (/ 1 (pow a 3))))) (pow a 3))>
#<alt (/ (+ 1/9 (+ (/ 1/6561 (pow a 6)) (+ (* 1/243 (/ 1 (pow a 3))) (* 1/177147 (/ 1 (pow a 9)))))) (pow a 3))>
#<alt (/ 1/9 (pow a 3))>
#<alt (/ (+ 1/9 (* 1/243 (/ 1 (pow a 3)))) (pow a 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/243 (* 1/6561 (/ 1 (pow a 3)))) (pow a 3))) 1/9) (pow a 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/243 (+ (/ 1/177147 (pow a 6)) (* 1/6561 (/ 1 (pow a 3))))) (pow a 3))) 1/9) (pow a 3)))>
#<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>
#<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 1/729>
#<alt (+ 1/729 (* -1 (pow a 6)))>
#<alt (+ 1/729 (* -1 (pow a 6)))>
#<alt (+ 1/729 (* -1 (pow a 6)))>
#<alt (* -1 (pow a 6))>
#<alt (* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))>
#<alt (* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))>
#<alt (* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))>
#<alt (* -1 (pow a 6))>
#<alt (* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))>
#<alt (* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))>
#<alt (* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<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 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 -1/9>
#<alt (- (* 1/3 a) 1/9)>
#<alt (- (* 1/3 a) 1/9)>
#<alt (- (* 1/3 a) 1/9)>
#<alt (* 1/3 a)>
#<alt (* a (- 1/3 (* 1/9 (/ 1 a))))>
#<alt (* a (- 1/3 (* 1/9 (/ 1 a))))>
#<alt (* a (- 1/3 (* 1/9 (/ 1 a))))>
#<alt (* 1/3 a)>
#<alt (* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))>
#<alt (* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))>
#<alt (* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))>
#<alt 81>
#<alt (+ 81 (* -729 (pow a 2)))>
#<alt (+ 81 (* (pow a 2) (- (* 59049 (pow a 4)) 729)))>
#<alt (+ 81 (* (pow a 2) (- (* (pow a 4) (+ 59049 (* -531441 (pow a 2)))) 729)))>
#<alt (/ 1 (pow a 4))>
#<alt (/ (- 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 4))>
#<alt (/ (- (+ 1 (/ 1/729 (pow a 6))) (* 1/9 (/ 1 (pow a 2)))) (pow a 4))>
#<alt (/ (- (+ 1 (/ 1/729 (pow a 6))) (+ (* 1/9 (/ 1 (pow a 2))) (* 1/6561 (/ 1 (pow a 8))))) (pow a 4))>
#<alt (/ 1 (pow a 4))>
#<alt (/ (- 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 4))>
#<alt (/ (- (+ 1 (/ 1/729 (pow a 6))) (* 1/9 (/ 1 (pow a 2)))) (pow a 4))>
#<alt (/ (- (+ 1 (/ 1/729 (pow a 6))) (+ (* 1/9 (/ 1 (pow a 2))) (* 1/6561 (/ 1 (pow a 8))))) (pow a 4))>
#<alt (* 1/9 (pow a 2))>
#<alt (* (pow a 2) (+ 1/9 (pow a 2)))>
#<alt (* (pow a 2) (+ 1/9 (pow a 2)))>
#<alt (* (pow a 2) (+ 1/9 (pow a 2)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))>

Calls

66 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(* (* (- 1/729 (* a (* (* a a) (* a (* a a))))) (/ 1 (+ 1/81 (* (* a a) (+ 1/9 (* a a)))))) (/ 1 (- -1/3 a)))
1.0ms	a	@	0	(* (* (- 1/729 (* a (* (* a a) (* a (* a a))))) (/ 1 (+ 1/81 (* (* a a) (+ 1/9 (* a a)))))) (/ 1 (- -1/3 a)))
0.0ms	a	@	-inf	(* (* (- 1/729 (* a (* (* a a) (* a (* a a))))) (/ 1 (+ 1/81 (* (* a a) (+ 1/9 (* a a)))))) (/ 1 (- -1/3 a)))
0.0ms	a	@	inf	(- 1/729 (* a (* (* a a) (* a (* a a)))))
0.0ms	a	@	inf	(* (* a a) (+ 1/9 (* a a)))

rewrite367.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3988×	`/-lowering-/.f32`
3988×	`/-lowering-/.f64`
3224×	`-lowering-.f32`
3224×	`-lowering-.f64`
1518×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	139
1	214	112
2	1875	103
0	8308	103

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 851

Calls

Call 1

Inputs
(+ (+ -1/3 a) (* (/ rand (sqrt (+ -1/3 a))) (/ (+ -1/3 a) 3)))
(+ -1/3 a)
(* (/ rand (sqrt (+ -1/3 a))) (/ (+ -1/3 a) 3))
(/ rand (sqrt (+ -1/3 a)))
(/ 1 (/ 1/9 (+ -1/27 (* a (* a a)))))
(/ 1/9 (+ -1/27 (* a (* a a))))
(+ -1/27 (* a (* a a)))
(* a (* a a))
(* (* (- 1/729 (* a (* (* a a) (* a (* a a))))) (/ 1 (+ 1/81 (* (* a a) (+ 1/9 (* a a)))))) (/ 1 (- -1/3 a)))
(* (- 1/729 (* a (* (* a a) (* a (* a a))))) (/ 1 (+ 1/81 (* (* a a) (+ 1/9 (* a a))))))
(- 1/729 (* a (* (* a a) (* a (* a a)))))
(* a (* (* a a) (* a (* a a))))
(* (sqrt (+ -1/3 a)) (* 1/3 rand))
(sqrt (+ -1/3 a))
(* 1/3 rand)
(/ (+ -1/3 a) 3)
(/ 1 (+ 1/81 (* (* a a) (+ 1/9 (* a a)))))
(* (* a a) (+ 1/9 (* a a)))

Outputs
(+.f64 #s(literal -1/3 binary64) (+.f64 a (/.f64 (*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64))))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64))))
(+.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64)))
(+.f64 (/.f64 (*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 a (/.f64 (*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64))) #s(literal -1/3 binary64))
(+.f64 (+.f64 (/.f64 (*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64)) #s(literal -1/3 binary64)) a)
(-.f64 (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64)))) (/.f64 (/.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64)) (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (+.f64 a (/.f64 (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64))))) (/.f64 (pow.f64 (+.f64 a (/.f64 (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 a (/.f64 (*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64)) (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (/.f64 (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (/.f64 (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))))
(fma.f64 (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 1/3 binary64) (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64)))) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 rand (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 rand (/.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64)) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64)) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64)))
(fma.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (-.f64 a #s(literal -1/3 binary64))))) (/.f64 (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64)))
(fma.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a))) (/.f64 (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64)))
(fma.f64 (/.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 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (/.f64 (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64)))
(fma.f64 (/.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 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 #s(literal -1/3 binary64) a)))))) (/.f64 (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64)))
(fma.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) (/.f64 (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64)))
(fma.f64 (*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 1/3 binary64) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))) (/.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 (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64)))
(fma.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 #s(literal -1/3 binary64) a))) (/.f64 (*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (/.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64)) (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a)) (.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64)) (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a))) (pow.f64 (/.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64)) (/.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a)) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64))) (-.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64)) (/.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (/.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64)) (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a)) (.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64)) (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a))) (pow.f64 (/.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64)) (/.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a)) #s(literal 3/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64))) (-.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64)) (/.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a))) (pow.f64 (/.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64)) (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a)) #s(literal 3/2 binary64))) (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (/.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64)) (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a)) (.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64)) (*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a))) (pow.f64 (/.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64)) (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a)) #s(literal 3/2 binary64))) (+.f64 (/.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64)) (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64)) (*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64)) (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))) (-.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (-.f64 a #s(literal -1/3 binary64)))) (.f64 (+.f64 #s(literal -1/3 binary64) a) rand))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (-.f64 a #s(literal -1/3 binary64)))) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) #s(literal 3 binary64)) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (-.f64 a #s(literal -1/3 binary64)))) (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (-.f64 a #s(literal -1/3 binary64)))) (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (-.f64 a #s(literal -1/3 binary64)))) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 3 binary64))) (.f64 (-.f64 #s(literal -1/3 binary64) a) (.f64 (+.f64 #s(literal -1/3 binary64) a) rand))) (.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal -1/3 binary64) a) (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (.f64 (-.f64 #s(literal -1/3 binary64) a) (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (+.f64 #s(literal 1/9 binary64) (.f64 a (-.f64 a #s(literal -1/3 binary64))))) (.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 3 binary64)) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))))) (.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 a (-.f64 a #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (-.f64 #s(literal -1/3 binary64) a)) (.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 3 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))) (.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 3 binary64)) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (.f64 (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (+.f64 #s(literal 1/9 binary64) (.f64 a (-.f64 a #s(literal -1/3 binary64))))) (.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))))) (.f64 #s(literal 3 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (-.f64 a #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 3 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal -1/3 binary64) a) rand) #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 a (-.f64 a #s(literal -1/3 binary64))))) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))))) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/9 binary64) (.f64 a (-.f64 a #s(literal -1/3 binary64))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))))) (neg.f64 (+.f64 #s(literal 1/531441 binary64) (-.f64 (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) (.f64 #s(literal 1/729 binary64) (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/531441 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))) (neg.f64 (+.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/531441 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))) (neg.f64 (-.f64 #s(literal 1/729 binary64) (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (+.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (*.f64 a a))))))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/531441 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (*.f64 a a))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (+.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/531441 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (+.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))) (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) (-.f64 #s(literal 1/531441 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))
(.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (+.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (*.f64 a a))))))))))
(.f64 (-.f64 #s(literal 1/531441 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (*.f64 a a))))))))
(exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 a)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 6 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 a)) #s(literal 2 binary64)))
(pow.f64 a #s(literal 6 binary64))
(pow.f64 (*.f64 a a) #s(literal 3 binary64))
(pow.f64 (.f64 a (.f64 a a)) #s(literal 2 binary64))
(pow.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 3/2 binary64))
(.f64 a (.f64 a (.f64 a (.f64 a (*.f64 a a)))))
(.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))
(.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a)))
(.f64 (.f64 a (.f64 a (.f64 a (*.f64 a a)))) a)
(.f64 (.f64 a (.f64 a (.f64 a a))) (*.f64 a a))
(.f64 rand (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 1/3 binary64)) rand)
(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) rand) #s(literal 1/3 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))) (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))) (sqrt.f64 (+.f64 (.f64 a a) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/3 binary64) a)))))
(/.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))) (sqrt.f64 (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))) (sqrt.f64 (.f64 (-.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 (sqrt.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))) (sqrt.f64 (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (-.f64 a #s(literal -1/3 binary64)))) (-.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))) (sqrt.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(/.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))) (sqrt.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1/19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))) (sqrt.f64 (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) #s(literal -1 binary64))) (sqrt.f64 (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)))))
(/.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))) (sqrt.f64 (.f64 (-.f64 #s(literal 0 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 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))))) (sqrt.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64))) (sqrt.f64 (-.f64 a #s(literal -1/3 binary64))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a))))) (sqrt.f64 (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (+.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (*.f64 a a))))))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1/531441 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a))))) (sqrt.f64 (+.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (*.f64 a a))))))))
(/.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))) (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 (sqrt.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))) (sqrt.f64 (/.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 -1/3 binary64) a) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(.f64 (pow.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 #s(literal -1/3 binary64) a)))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #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 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))))) (sqrt.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))))) (sqrt.f64 (.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 #s(literal -1/3 binary64) a))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)))) (sqrt.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (pow.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))) (sqrt.f64 (/.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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))))) (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/3 binary64) a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal -3 binary64)))
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(.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (/.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 (.f64 a a) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (*.f64 a a))))))))
(.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))) (/.f64 (.f64 a a) (/.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 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (/.f64 (.f64 a a) (-.f64 #s(literal 1/9 binary64) (.f64 a a))))
(.f64 (/.f64 (.f64 a a) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))) (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (/.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 (/.f64 (.f64 a a) (/.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 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (*.f64 a a))))))))
(.f64 (/.f64 (.f64 a a) (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))))))) (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/6561 binary64) (.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) #s(literal 1/81 binary64))))))
(.f64 (/.f64 (.f64 a a) (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) (-.f64 #s(literal 1/6561 binary64) (.f64 (.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 a a))))) (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a 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 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))))))) (/.f64 (.f64 a a) (+.f64 #s(literal 1/6561 binary64) (.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) #s(literal 1/81 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) (-.f64 #s(literal 1/6561 binary64) (.f64 (.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 a a))))) (/.f64 (.f64 a a) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))))

simplify276.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4516×	`-lowering-.f32`
4516×	`-lowering-.f64`
3010×	`+-lowering-+.f64`
3010×	`+-lowering-+.f32`
1410×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	447	2711
1	1379	2554
2	5165	2539
0	8239	2539

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(- a 1/3)
(- (+ 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)))
(* 1/3 (* 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))))
(* 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))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand))))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)))))))
(* 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)))
-1/3
(- (* 9 (pow a 3)) 1/3)
(- (* 9 (pow a 3)) 1/3)
(- (* 9 (pow a 3)) 1/3)
(* 9 (pow a 3))
(* (pow a 3) (- 9 (* 1/3 (/ 1 (pow a 3)))))
(* (pow a 3) (- 9 (* 1/3 (/ 1 (pow a 3)))))
(* (pow a 3) (- 9 (* 1/3 (/ 1 (pow a 3)))))
(* 9 (pow a 3))
(* -1 (* (pow a 3) (- (* 1/3 (/ 1 (pow a 3))) 9)))
(* -1 (* (pow a 3) (- (* 1/3 (/ 1 (pow a 3))) 9)))
(* -1 (* (pow a 3) (- (* 1/3 (/ 1 (pow a 3))) 9)))
-3
(- (* -81 (pow a 3)) 3)
(- (* (pow a 3) (- (* -2187 (pow a 3)) 81)) 3)
(- (* (pow a 3) (- (* (pow a 3) (- (* -59049 (pow a 3)) 2187)) 81)) 3)
(/ 1/9 (pow a 3))
(/ (+ 1/9 (* 1/243 (/ 1 (pow a 3)))) (pow a 3))
(/ (+ 1/9 (+ (/ 1/6561 (pow a 6)) (* 1/243 (/ 1 (pow a 3))))) (pow a 3))
(/ (+ 1/9 (+ (/ 1/6561 (pow a 6)) (+ (* 1/243 (/ 1 (pow a 3))) (* 1/177147 (/ 1 (pow a 9)))))) (pow a 3))
(/ 1/9 (pow a 3))
(/ (+ 1/9 (* 1/243 (/ 1 (pow a 3)))) (pow a 3))
(* -1 (/ (- (* -1 (/ (+ 1/243 (* 1/6561 (/ 1 (pow a 3)))) (pow a 3))) 1/9) (pow a 3)))
(* -1 (/ (- (* -1 (/ (+ 1/243 (+ (/ 1/177147 (pow a 6)) (* 1/6561 (/ 1 (pow a 3))))) (pow a 3))) 1/9) (pow a 3)))
-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
(- 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))
1/729
(+ 1/729 (* -1 (pow a 6)))
(+ 1/729 (* -1 (pow a 6)))
(+ 1/729 (* -1 (pow a 6)))
(* -1 (pow a 6))
(* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))
(* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))
(* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))
(* -1 (pow a 6))
(* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))
(* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))
(* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(* 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 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)
-1/9
(- (* 1/3 a) 1/9)
(- (* 1/3 a) 1/9)
(- (* 1/3 a) 1/9)
(* 1/3 a)
(* a (- 1/3 (* 1/9 (/ 1 a))))
(* a (- 1/3 (* 1/9 (/ 1 a))))
(* a (- 1/3 (* 1/9 (/ 1 a))))
(* 1/3 a)
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
81
(+ 81 (* -729 (pow a 2)))
(+ 81 (* (pow a 2) (- (* 59049 (pow a 4)) 729)))
(+ 81 (* (pow a 2) (- (* (pow a 4) (+ 59049 (* -531441 (pow a 2)))) 729)))
(/ 1 (pow a 4))
(/ (- 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 4))
(/ (- (+ 1 (/ 1/729 (pow a 6))) (* 1/9 (/ 1 (pow a 2)))) (pow a 4))
(/ (- (+ 1 (/ 1/729 (pow a 6))) (+ (* 1/9 (/ 1 (pow a 2))) (* 1/6561 (/ 1 (pow a 8))))) (pow a 4))
(/ 1 (pow a 4))
(/ (- 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 4))
(/ (- (+ 1 (/ 1/729 (pow a 6))) (* 1/9 (/ 1 (pow a 2)))) (pow a 4))
(/ (- (+ 1 (/ 1/729 (pow a 6))) (+ (* 1/9 (/ 1 (pow a 2))) (* 1/6561 (/ 1 (pow a 8))))) (pow a 4))
(* 1/9 (pow a 2))
(* (pow a 2) (+ 1/9 (pow a 2)))
(* (pow a 2) (+ 1/9 (pow a 2)))
(* (pow a 2) (+ 1/9 (pow a 2)))
(pow a 4)
(* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))

Outputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(+.f64 #s(literal -1/3 binary64) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(+.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (+.f64 (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(+.f64 (.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 (/.f64 (.f64 rand a) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64))))) (+.f64 #s(literal -1/3 binary64) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(+.f64 (.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (/.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 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))))) (+.f64 #s(literal -1/3 binary64) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 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 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
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(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
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(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 rand #s(literal -1/216 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
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(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
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(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (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 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/18 binary64)))) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(.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 #s(literal -1/3 binary64) (/.f64 (.f64 rand (+.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/216 binary64)))) a)) a)) (-.f64 #s(literal 0 binary64) 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)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) 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))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) 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))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) 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))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) 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))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) 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))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) 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))
(* 1/3 (* 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 (.f64 #s(literal 1/6 binary64) (.f64 rand a)) (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 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 (/.f64 (.f64 rand a) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 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 (.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 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))))))
(* 1/3 (* (sqrt a) rand))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 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 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 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))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 rand #s(literal -1/216 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 (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))))) (.f64 rand (+.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
(* 1/3 (* (sqrt a) rand))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))
(.f64 a (.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand))))))
(-.f64 #s(literal 0 binary64) (.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/3 binary64))) (.f64 rand (+.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 1/216 binary64)))))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)))))))
(-.f64 #s(literal 0 binary64) (.f64 a (+.f64 (.f64 rand (+.f64 (.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/216 binary64)))) (.f64 rand (+.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 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 (/ 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 #s(literal -9/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 a (*.f64 #s(literal -81/8 binary64) rand)) (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 #s(literal -9/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (.f64 a (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 rand a)) #s(literal 405/8 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal -81/8 binary64) rand) (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 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(+.f64 (.f64 rand (+.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 rand #s(literal 1/18 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 rand #s(literal 1/18 binary64))) (+.f64 (.f64 rand (+.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (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)))))
(* (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))))
(+ (* -1/6 (* (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 (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)))) (.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64)))) (/.f64 (+.f64 (.f64 rand (.f64 #s(literal 1/18 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 1/2 binary64)))) (.f64 a (.f64 a a))))
-1/3
#s(literal -1/3 binary64)
(- (* 9 (pow a 3)) 1/3)
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 a (*.f64 a a)) #s(literal 9 binary64)))
(- (* 9 (pow a 3)) 1/3)
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 a (*.f64 a a)) #s(literal 9 binary64)))
(- (* 9 (pow a 3)) 1/3)
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(* 9 (pow a 3))
(.f64 (.f64 a (*.f64 a a)) #s(literal 9 binary64))
(* (pow a 3) (- 9 (* 1/3 (/ 1 (pow a 3)))))
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(* (pow a 3) (- 9 (* 1/3 (/ 1 (pow a 3)))))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 a (*.f64 a a)))))
(* (pow a 3) (- 9 (* 1/3 (/ 1 (pow a 3)))))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 a (*.f64 a a)))))
(* 9 (pow a 3))
(.f64 (.f64 a (*.f64 a a)) #s(literal 9 binary64))
(* -1 (* (pow a 3) (- (* 1/3 (/ 1 (pow a 3))) 9)))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 a (*.f64 a a)))))
(* -1 (* (pow a 3) (- (* 1/3 (/ 1 (pow a 3))) 9)))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 a (*.f64 a a)))))
(* -1 (* (pow a 3) (- (* 1/3 (/ 1 (pow a 3))) 9)))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 a (*.f64 a a)))))
-3
#s(literal -3 binary64)
(- (* -81 (pow a 3)) 3)
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(- (* (pow a 3) (- (* -2187 (pow a 3)) 81)) 3)
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(- (* (pow a 3) (- (* (pow a 3) (- (* -59049 (pow a 3)) 2187)) 81)) 3)
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(/ 1/9 (pow a 3))
(/.f64 #s(literal 1/9 binary64) (.f64 a (.f64 a a)))
(/ (+ 1/9 (* 1/243 (/ 1 (pow a 3)))) (pow a 3))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/243 binary64) (.f64 a (.f64 a a)))) (.f64 a (.f64 a a)))
(/ (+ 1/9 (+ (/ 1/6561 (pow a 6)) (* 1/243 (/ 1 (pow a 3))))) (pow a 3))
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(/ (+ 1/9 (+ (/ 1/6561 (pow a 6)) (+ (* 1/243 (/ 1 (pow a 3))) (* 1/177147 (/ 1 (pow a 9)))))) (pow a 3))
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(/ 1/9 (pow a 3))
(/.f64 #s(literal 1/9 binary64) (.f64 a (.f64 a a)))
(/ (+ 1/9 (* 1/243 (/ 1 (pow a 3)))) (pow a 3))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/243 binary64) (.f64 a (.f64 a a)))) (.f64 a (.f64 a a)))
(* -1 (/ (- (* -1 (/ (+ 1/243 (* 1/6561 (/ 1 (pow a 3)))) (pow a 3))) 1/9) (pow a 3)))
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(* -1 (/ (- (* -1 (/ (+ 1/243 (+ (/ 1/177147 (pow a 6)) (* 1/6561 (/ 1 (pow a 3))))) (pow a 3))) 1/9) (pow a 3)))
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-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)))
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(* -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))
-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)))
1/9
#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))))
1/729
#s(literal 1/729 binary64)
(+ 1/729 (* -1 (pow a 6)))
(-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a))))
(+ 1/729 (* -1 (pow a 6)))
(-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a))))
(+ 1/729 (* -1 (pow a 6)))
(-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a))))
(* -1 (pow a 6))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a))))
(* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))
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(* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))
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(* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))
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(* -1 (pow a 6))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a))))
(* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))
(.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a))))))
(* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))
(.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a))))))
(* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))
(.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a))))))
(pow a 6)
(.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a)))
(pow a 6)
(.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a)))
(pow a 6)
(.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a)))
(pow a 6)
(.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a)))
(pow a 6)
(.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a)))
(pow a 6)
(.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a)))
(pow a 6)
(.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a)))
(pow a 6)
(.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a)))
(pow a 6)
(.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a)))
(pow a 6)
(.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a)))
(pow a 6)
(.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a)))
(pow a 6)
(.f64 (.f64 a (.f64 a a)) (.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 (.f64 #s(literal 1/6 binary64) (.f64 rand a)) (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 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 (/.f64 (.f64 rand a) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 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 (.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 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))))))
(* 1/3 (* (sqrt a) rand))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 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 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 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))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 rand #s(literal -1/216 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))))))
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(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(* -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 a (.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (.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 #s(literal 0 binary64) (.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/3 binary64))) (.f64 rand (+.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 1/216 binary64)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(-.f64 #s(literal 0 binary64) (.f64 a (+.f64 (.f64 rand (+.f64 (.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/216 binary64)))) (.f64 rand (+.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 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))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) 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))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) 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))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) 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))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) 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))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) 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))
(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 (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 (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)))))
(* 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 (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 7 binary64)))) #s(literal -1/432 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64))))
(* -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 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(-.f64 #s(literal 0 binary64) (.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 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 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 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))))) (-.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)
-1/9
#s(literal -1/9 binary64)
(- (* 1/3 a) 1/9)
(+.f64 (*.f64 #s(literal 1/3 binary64) a) #s(literal -1/9 binary64))
(- (* 1/3 a) 1/9)
(+.f64 (*.f64 #s(literal 1/3 binary64) a) #s(literal -1/9 binary64))
(- (* 1/3 a) 1/9)
(+.f64 (*.f64 #s(literal 1/3 binary64) a) #s(literal -1/9 binary64))
(* 1/3 a)
(*.f64 #s(literal 1/3 binary64) a)
(* a (- 1/3 (* 1/9 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(* a (- 1/3 (* 1/9 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(* a (- 1/3 (* 1/9 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(* 1/3 a)
(*.f64 #s(literal 1/3 binary64) a)
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
81
#s(literal 81 binary64)
(+ 81 (* -729 (pow a 2)))
(+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal -729 binary64)))
(+ 81 (* (pow a 2) (- (* 59049 (pow a 4)) 729)))
(+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -729 binary64) (.f64 #s(literal 59049 binary64) (.f64 a (.f64 a (.f64 a a)))))))
(+ 81 (* (pow a 2) (- (* (pow a 4) (+ 59049 (* -531441 (pow a 2)))) 729)))
(+.f64 #s(literal 81 binary64) (.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 59049 binary64) (.f64 (.f64 a a) #s(literal -531441 binary64))))))))
(/ 1 (pow a 4))
(/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (*.f64 a a))))
(/ (- 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 4))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (.f64 a a))) (.f64 a (.f64 a (.f64 a a))))
(/ (- (+ 1 (/ 1/729 (pow a 6))) (* 1/9 (/ 1 (pow a 2)))) (pow a 4))
(/.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 -1/9 binary64) (.f64 a a)))) (.f64 a (.f64 a (*.f64 a a))))
(/ (- (+ 1 (/ 1/729 (pow a 6))) (+ (* 1/9 (/ 1 (pow a 2))) (* 1/6561 (/ 1 (pow a 8))))) (pow a 4))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (+.f64 (/.f64 #s(literal -1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1/6561 binary64) (pow.f64 a #s(literal 8 binary64))))) (.f64 a (.f64 a (*.f64 a a))))
(/ 1 (pow a 4))
(/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (*.f64 a a))))
(/ (- 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 4))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (.f64 a a))) (.f64 a (.f64 a (.f64 a a))))
(/ (- (+ 1 (/ 1/729 (pow a 6))) (* 1/9 (/ 1 (pow a 2)))) (pow a 4))
(/.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 -1/9 binary64) (.f64 a a)))) (.f64 a (.f64 a (*.f64 a a))))
(/ (- (+ 1 (/ 1/729 (pow a 6))) (+ (* 1/9 (/ 1 (pow a 2))) (* 1/6561 (/ 1 (pow a 8))))) (pow a 4))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (+.f64 (/.f64 #s(literal -1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1/6561 binary64) (pow.f64 a #s(literal 8 binary64))))) (.f64 a (.f64 a (*.f64 a a))))
(* 1/9 (pow a 2))
(.f64 a (.f64 a #s(literal 1/9 binary64)))
(* (pow a 2) (+ 1/9 (pow a 2)))
(.f64 a (.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(* (pow a 2) (+ 1/9 (pow a 2)))
(.f64 a (.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(* (pow a 2) (+ 1/9 (pow a 2)))
(.f64 a (.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))))

eval249.0ms (2.1%)

Compiler: Compiled 57693 to 4117 computations (92.9% saved)

prune332.0ms (2.8%)

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	1584	9	1593
Fresh	2	17	19
Picked	2	3	5
Done	0	3	3
Total	1588	32	1620

Accuracy

100.0%

Counts

1620 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
	10.0%	(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
	61.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
	10.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 a (.f64 a a))))
	19.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))))
	97.0%	(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
✓	63.7%	(+.f64 #s(literal -1/3 binary64) a)
	20.0%	(.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 binary64) (-.f64 #s(literal -1/3 binary64) a)))
	36.5%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
	9.5%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))))
	10.2%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))
	9.2%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
	10.4%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
✓	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))))))
	63.7%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) a)
	37.5%	(.f64 (.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64)) (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
✓	15.4%	(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (/.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 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
	10.9%	(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -729 binary64) (.f64 #s(literal 59049 binary64) (.f64 a (.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
	9.5%	(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (*.f64 a a) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
	9.8%	(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 59049 binary64) (.f64 (*.f64 a a) #s(literal -531441 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
	10.8%	(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (*.f64 a a))))) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
	37.5%	(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) rand) #s(literal 1/3 binary64))
	36.6%	(.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
	36.7%	(.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
	36.7%	(.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
	10.0%	(.f64 (.f64 a (*.f64 a a)) #s(literal 9 binary64))
✓	37.5%	(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
	75.0%	(.f64 rand (+.f64 (/.f64 a rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
	36.6%	(.f64 a (.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))))
	36.6%	(.f64 a (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand))
✓	61.7%	a
✓	1.5%	#s(literal -1/3 binary64)

Compiler

Compiled 1293 to 541 computations (58.2% saved)

regimes66.0ms (0.6%)

Counts

55 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(.f64 (.f64 a (*.f64 a a)) #s(literal 9 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 a (.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))
(/.f64 (+.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 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (/.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 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (*.f64 a a))))) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.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 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (*.f64 a a) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a 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 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (/.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 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -729 binary64) (.f64 #s(literal 59049 binary64) (.f64 a (.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 59049 binary64) (.f64 (*.f64 a a) #s(literal -531441 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(.f64 a (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) rand) #s(literal 1/3 binary64))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(.f64 a (.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))))
(.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(.f64 rand (+.f64 (/.f64 a rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
(.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 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(.f64 (.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64)) (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 (.f64 (.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) rand) #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)))
(.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 #s(literal -1/3 binary64) a) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64))))
(+.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (/.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64))))
(.f64 (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 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)))
(fma.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (+.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:

16.0ms	rand
15.0ms	(.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)))
15.0ms	a
14.0ms	(-.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)

regimes32.0ms (0.3%)

Counts

49 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(.f64 (.f64 a (*.f64 a a)) #s(literal 9 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 a (.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))
(/.f64 (+.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 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (/.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 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (*.f64 a a))))) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.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 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (*.f64 a a) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a 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 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (/.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 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -729 binary64) (.f64 #s(literal 59049 binary64) (.f64 a (.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 59049 binary64) (.f64 (*.f64 a a) #s(literal -531441 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(.f64 a (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) rand) #s(literal 1/3 binary64))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(.f64 a (.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))))
(.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(.f64 rand (+.f64 (/.f64 a rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
(.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 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(.f64 (.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64)) (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 (.f64 (.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) rand) #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)))
(.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 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))

Calls

2 calls:

14.0ms	rand
13.0ms	a

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes31.0ms (0.3%)

Counts

44 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(.f64 (.f64 a (*.f64 a a)) #s(literal 9 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 a (.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))
(/.f64 (+.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 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (/.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 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (*.f64 a a))))) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.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 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (*.f64 a a) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a 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 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (/.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 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -729 binary64) (.f64 #s(literal 59049 binary64) (.f64 a (.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 59049 binary64) (.f64 (*.f64 a a) #s(literal -531441 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(.f64 a (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) rand) #s(literal 1/3 binary64))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(.f64 a (.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))))
(.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(.f64 rand (+.f64 (/.f64 a rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
(.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)))))

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:

14.0ms	a
12.0ms	rand

Results

Accuracy	Segments	Branch
99.0%	1	`a`
99.0%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.2%)

Counts

42 → 2

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(.f64 (.f64 a (*.f64 a a)) #s(literal 9 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 a (.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))
(/.f64 (+.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 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (/.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 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (*.f64 a a))))) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.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 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (*.f64 a a) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a 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 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (/.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 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -729 binary64) (.f64 #s(literal 59049 binary64) (.f64 a (.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 59049 binary64) (.f64 (*.f64 a a) #s(literal -531441 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(.f64 a (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) rand) #s(literal 1/3 binary64))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(.f64 a (.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))))
(.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(.f64 rand (+.f64 (/.f64 a rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
(.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 #s(literal -1/3 binary64) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)

Calls

2 calls:

12.0ms	rand
11.0ms	a

Results

Accuracy	Segments	Branch
98.6%	2	`a`
97.0%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes67.0ms (0.6%)

Counts

36 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(.f64 (.f64 a (*.f64 a a)) #s(literal 9 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 a (.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))
(/.f64 (+.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 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (/.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 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (*.f64 a a))))) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.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 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (*.f64 a a) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a 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 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (/.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 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -729 binary64) (.f64 #s(literal 59049 binary64) (.f64 a (.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 59049 binary64) (.f64 (*.f64 a a) #s(literal -531441 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(.f64 a (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) rand) #s(literal 1/3 binary64))

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

2 calls:

11.0ms	a
10.0ms	rand

Results

Accuracy	Segments	Branch
94.5%	3	`rand`
63.7%	1	`a`

Compiler

Compiled 6 to 4 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 binary64) (/.f64 #s(literal 1 binary64) a))
(.f64 (.f64 a (*.f64 a a)) #s(literal 9 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 a (.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))
(/.f64 (+.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 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (/.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 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (*.f64 a a))))) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.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 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (*.f64 a a) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a 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 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (/.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 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -729 binary64) (.f64 #s(literal 59049 binary64) (.f64 a (.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 59049 binary64) (.f64 (*.f64 a a) #s(literal -531441 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(.f64 a (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand))

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

Calls

1 calls:

10.0ms

rand

Results

Accuracy	Segments	Branch
93.9%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts

31 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(.f64 (.f64 a (*.f64 a a)) #s(literal 9 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 a (.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))
(/.f64 (+.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 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (/.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 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (*.f64 a a))))) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.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 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (*.f64 a a) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a 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 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (/.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 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -729 binary64) (.f64 #s(literal 59049 binary64) (.f64 a (.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 59049 binary64) (.f64 (*.f64 a a) #s(literal -531441 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))

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

Calls

1 calls:

9.0ms

rand

Results

Accuracy	Segments	Branch
93.9%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

30 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(.f64 (.f64 a (*.f64 a a)) #s(literal 9 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 a (.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))
(/.f64 (+.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 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (/.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 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (*.f64 a a))))) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.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 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (*.f64 a a) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a 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 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (/.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 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -729 binary64) (.f64 #s(literal 59049 binary64) (.f64 a (.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 59049 binary64) (.f64 (*.f64 a a) #s(literal -531441 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 a (*.f64 a a)) #s(literal 1/27 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:

9.0ms

rand

Results

Accuracy	Segments	Branch
93.9%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

29 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(.f64 (.f64 a (*.f64 a a)) #s(literal 9 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 a (.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))
(/.f64 (+.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 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (/.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 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (*.f64 a a))))) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.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 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (*.f64 a a) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a 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 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (/.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 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -729 binary64) (.f64 #s(literal 59049 binary64) (.f64 a (.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 59049 binary64) (.f64 (*.f64 a a) #s(literal -531441 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))

Outputs

(*.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -729 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 59049 binary64) (*.f64 (*.f64 a a) #s(literal -531441 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))

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

(*.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -729 binary64) (*.f64 #s(literal 59049 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))

Calls

1 calls:

8.0ms

rand

Results

Accuracy	Segments	Branch
79.2%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

27 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(.f64 (.f64 a (*.f64 a a)) #s(literal 9 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 a (.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))
(/.f64 (+.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 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (/.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 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (*.f64 a a))))) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.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 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (*.f64 a a) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a 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 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (/.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 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -729 binary64) (.f64 #s(literal 59049 binary64) (.f64 a (.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))

Outputs

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

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

(*.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -729 binary64) (*.f64 #s(literal 59049 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))

Calls

1 calls:

9.0ms

rand

Results

Accuracy	Segments	Branch
78.9%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

(*.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))

Calls

1 calls:

7.0ms

rand

Results

Accuracy	Segments	Branch
78.5%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

(*.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))

Calls

1 calls:

9.0ms

rand

Results

Accuracy	Segments	Branch
78.5%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

rand

Results

Accuracy	Segments	Branch
77.7%	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 binary64) (/.f64 #s(literal 1 binary64) a))
(.f64 (.f64 a (*.f64 a a)) #s(literal 9 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 a (.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))))
(/.f64 (+.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 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (/.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 (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 a (*.f64 a a)))))

Outputs

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

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

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

Calls

1 calls:

7.0ms

rand

Results

Accuracy	Segments	Branch
77.3%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

(*.f64 (*.f64 a (*.f64 a a)) #s(literal 9 binary64))

Calls

1 calls:

5.0ms

rand

Results

Accuracy	Segments	Branch
77.0%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

10 → 2

Calls

Call 1

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

Calls

1 calls:

4.0ms

rand

Results

Accuracy	Segments	Branch
68.4%	2	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	a
2.0ms	rand

Results

Accuracy	Segments	Branch
63.7%	1	`a`
63.7%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes23.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
a

Calls

2 calls:

21.0ms	a
2.0ms	rand

Results

Accuracy	Segments	Branch
61.7%	1	`rand`
61.7%	1	`a`

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	rand
1.0ms	a

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch3.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	682619002538.4606	739490914814.0867

Results

1.0ms

16×

valid

Compiler

Compiled 44 to 30 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

const: 0.0ms (0% of total)

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

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

bsearch45.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.319202743960092e+109	9.0512239875926e+111
25.0ms	-3.8399952332108357e+108	-2.4836559502435686e+94

Results

30.0ms

288×

valid

Compiler

Compiled 333 to 269 computations (19.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 10.0ms (46.8% of total)

ival-mult: 6.0ms (28.1% of total)

ival-sub: 2.0ms (9.4% of total)

ival-sqrt: 2.0ms (9.4% of total)

ival-add: 1.0ms (4.7% of total)

const: 1.0ms (4.7% of total)

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

bsearch42.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.319202743960092e+109	9.0512239875926e+111
21.0ms	-3.8399952332108357e+108	-2.4836559502435686e+94

Results

26.0ms

288×

valid

Compiler

Compiled 297 to 233 computations (21.5% saved)

Precisions

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

ival-div: 6.0ms (33.4% of total)

ival-mult: 6.0ms (33.4% 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)

bsearch41.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.319202743960092e+109	9.0512239875926e+111
20.0ms	-3.8399952332108357e+108	-2.4836559502435686e+94

Results

26.0ms

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: 7.0ms (40.4% of total)

ival-div: 4.0ms (23.1% of total)

ival-sub: 2.0ms (11.5% of total)

ival-add: 2.0ms (11.5% of total)

ival-sqrt: 2.0ms (11.5% of total)

const: 1.0ms (5.8% of total)

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

bsearch40.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.319202743960092e+109	9.0512239875926e+111
21.0ms	-3.8399952332108357e+108	-2.4836559502435686e+94

Results

26.0ms

288×

valid

Compiler

Compiled 297 to 233 computations (21.5% saved)

Precisions

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

ival-mult: 6.0ms (37% of total)

ival-div: 4.0ms (24.6% of total)

ival-sub: 2.0ms (12.3% of total)

ival-add: 2.0ms (12.3% of total)

ival-sqrt: 2.0ms (12.3% of total)

const: 1.0ms (6.2% 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
13.0ms	6.730723388977982e+140	9.967864724362311e+141
14.0ms	-9.469626085415057e+134	-3.3170228390223833e+133

Results

19.0ms

208×

valid

Compiler

Compiled 667 to 409 computations (38.7% saved)

Precisions

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

ival-mult: 6.0ms (45.8% of total)

ival-div: 3.0ms (22.9% of total)

ival-sqrt: 2.0ms (15.3% of total)

ival-sub: 1.0ms (7.6% of total)

ival-add: 1.0ms (7.6% of total)

const: 0.0ms (0% of total)

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

bsearch50.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	6.730723388977982e+140	9.967864724362311e+141
14.0ms	-9.469626085415057e+134	-3.3170228390223833e+133

Results

18.0ms

208×

valid

Compiler

Compiled 555 to 353 computations (36.4% saved)

Precisions

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

ival-mult: 4.0ms (33.9% of total)

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.730723388977982e+140	9.967864724362311e+141
19.0ms	-9.469626085415057e+134	-3.3170228390223833e+133

Results

23.0ms

208×

valid

Compiler

Compiled 459 to 311 computations (32.2% saved)

Precisions

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

ival-mult: 9.0ms (53.6% of total)

ival-div: 3.0ms (17.9% of total)

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

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

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

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.730723388977982e+140	9.967864724362311e+141
25.0ms	-9.469626085415057e+134	-3.3170228390223833e+133

Results

29.0ms

208×

valid

Compiler

Compiled 403 to 297 computations (26.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 15.0ms (65.5% of total)

ival-div: 3.0ms (13.1% of total)

ival-sqrt: 2.0ms (8.7% of total)

ival-sub: 1.0ms (4.4% of total)

ival-add: 1.0ms (4.4% of total)

const: 0.0ms (0% of total)

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

bsearch54.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.2977267154230857e+142	1.409247433777359e+155
30.0ms	-9.469626085415057e+134	-3.3170228390223833e+133

Results

40.0ms

272×

valid

Compiler

Compiled 463 to 361 computations (22% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-sub: 18.0ms (56.1% of total)

ival-mult: 6.0ms (18.7% of total)

ival-div: 4.0ms (12.5% of total)

ival-sqrt: 2.0ms (6.2% of total)

ival-add: 1.0ms (3.1% of total)

const: 1.0ms (3.1% of total)

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

bsearch48.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.2977267154230857e+142	1.409247433777359e+155
23.0ms	-9.469626085415057e+134	-3.3170228390223833e+133

Results

34.0ms

272×

valid

Compiler

Compiled 407 to 319 computations (21.6% saved)

Precisions

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

ival-mult: 7.0ms (41.2% of total)

ival-div: 4.0ms (23.5% of total)

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

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

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

const: 1.0ms (5.9% of total)

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

bsearch41.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.2977267154230857e+142	1.409247433777359e+155
16.0ms	-9.469626085415057e+134	-3.3170228390223833e+133

Results

25.0ms

272×

valid

Compiler

Compiled 327 to 249 computations (23.9% saved)

Precisions

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

ival-mult: 6.0ms (34.8% of total)

ival-div: 4.0ms (23.2% of total)

ival-sub: 3.0ms (17.4% of total)

ival-sqrt: 2.0ms (11.6% of total)

ival-add: 1.0ms (5.8% of total)

const: 1.0ms (5.8% of total)

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

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.2977267154230857e+142	1.409247433777359e+155

Results

15.0ms

160×

valid

Compiler

Compiled 187 to 137 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (32.5% of total)

ival-div: 2.0ms (21.7% of total)

ival-sub: 1.0ms (10.8% of total)

ival-add: 1.0ms (10.8% of total)

ival-sqrt: 1.0ms (10.8% of total)

const: 0.0ms (0% of total)

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

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

90×	`*-commutative_binary64`
50×	`+-commutative_binary64`
16×	`sub-neg_binary64`
14×	`distribute-lft-neg-in_binary64`
14×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	533
1	226	533
2	242	533
3	255	533
4	266	533
5	269	533
6	270	533

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 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
(if (<=.f64 a #s(literal 700000000000 binary64)) (+.f64 #s(literal -1/3 binary64) a) (+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a))
(if (<=.f64 rand #s(literal -114999999999999998619824244028815650131979556891638088926204829163422411312146207323030101688320 binary64)) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 13500000000000000067875480669316803468202086541523516722249383066451556046124244973410802266579253932725370880 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 -194999999999999985415947151824818395000981181636734502998668940458070534661428599058845333979136 binary64)) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (if (<=.f64 rand #s(literal 14000000000000000997467093923667982413937742308781381897163938786209933966976766700819995368744465025848049664 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
(if (<=.f64 rand #s(literal -409999999999999996806840893872921044605483617004162003769000234606963783399923574798830843394086928384 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (if (<=.f64 rand #s(literal 13500000000000000067875480669316803468202086541523516722249383066451556046124244973410802266579253932725370880 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -140000000000000002712071978422820794286916796601113666117540295571504623123338437286114651103297536 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 13500000000000000067875480669316803468202086541523516722249383066451556046124244973410802266579253932725370880 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712 binary64)) (.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 59049 binary64) (.f64 (.f64 a a) #s(literal -531441 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (if (<=.f64 rand #s(literal 9599999999999999892203179870608187029049523496078806786739211794943990924053135781602706238786921833644820564511713079096649814073481006940160 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -729 binary64) (.f64 #s(literal 59049 binary64) (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))))
(if (<=.f64 rand #s(literal -919999999999999919693942707948844355394710999321934538559920419067280897194664495960762988056706089520412424011677455275700850949881856 binary64)) (.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (if (<=.f64 rand #s(literal 9599999999999999892203179870608187029049523496078806786739211794943990924053135781602706238786921833644820564511713079096649814073481006940160 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -729 binary64) (.f64 #s(literal 59049 binary64) (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))))
(if (<=.f64 rand #s(literal -820000000000000068762529266155958537195240890863673954461330853365593453513687732304572555487563831401093317061377266436123148278562816 binary64)) (.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (if (<=.f64 rand #s(literal 9599999999999999892203179870608187029049523496078806786739211794943990924053135781602706238786921833644820564511713079096649814073481006940160 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))))
(if (<=.f64 rand #s(literal -210000000000000009737202988628633925208783728138831517820262191626482735562470771258952660500348070756239284612859326051009672203206656 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a #s(literal 81 binary64)))))))) (if (<=.f64 rand #s(literal 9599999999999999892203179870608187029049523496078806786739211794943990924053135781602706238786921833644820564511713079096649814073481006940160 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))))
(if (<=.f64 rand #s(literal -44999999999999998484074359607212027422084275445190634497051450620262605122399768310166722427472473547032646256134711280038942072635392 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a #s(literal 81 binary64)))))))) (if (<=.f64 rand #s(literal 3299999999999999809560690617312130302759629665899258505313605753227869821011354467209908866588893219393482923969756844820429925596406594660614847594496 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(if (<=.f64 rand #s(literal -499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a #s(literal 9 binary64)))) (if (<=.f64 rand #s(literal 80000000000000001374202590977417529443144832674443640861858627561600250102255083360661013942889385461780367676348342678295449011561384049997076395720704 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(if (<=.f64 rand #s(literal -270000000000000000991359743920258842875939918307908941082721956960729977729161721347905108068120757804248038787346671726730417954357248 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a #s(literal 9 binary64)))) (if (<=.f64 rand #s(literal 19500000000000000103282038181520826439169589200094192134854856749057429247699675580332349062433699646085567206097772005341461934570743145872633102336 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 a (.f64 a a)) #s(literal 9 binary64))))
(if (<=.f64 rand #s(literal 43000000000000001538156489375529501679946536239318444752254509070410000739601326405058511919040760344517103411177156306422577610607039653761490354176 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 a (*.f64 a a)) #s(literal 9 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 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #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))))))
(if (<=.f64 a #s(literal 700000000000 binary64)) (+.f64 #s(literal -1/3 binary64) a) (+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a))
(if (<=.f64 a #s(literal 700000000000 binary64)) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -114999999999999998619824244028815650131979556891638088926204829163422411312146207323030101688320 binary64)) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 13500000000000000067875480669316803468202086541523516722249383066451556046124244973410802266579253932725370880 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 -114999999999999998619824244028815650131979556891638088926204829163422411312146207323030101688320 binary64)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64))) (if (<=.f64 rand #s(literal 13500000000000000067875480669316803468202086541523516722249383066451556046124244973410802266579253932725370880 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 -194999999999999985415947151824818395000981181636734502998668940458070534661428599058845333979136 binary64)) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (if (<=.f64 rand #s(literal 14000000000000000997467093923667982413937742308781381897163938786209933966976766700819995368744465025848049664 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
(if (<=.f64 rand #s(literal -194999999999999985415947151824818395000981181636734502998668940458070534661428599058845333979136 binary64)) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (if (<=.f64 rand #s(literal 14000000000000000997467093923667982413937742308781381897163938786209933966976766700819995368744465025848049664 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -409999999999999996806840893872921044605483617004162003769000234606963783399923574798830843394086928384 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (if (<=.f64 rand #s(literal 13500000000000000067875480669316803468202086541523516722249383066451556046124244973410802266579253932725370880 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -409999999999999996806840893872921044605483617004162003769000234606963783399923574798830843394086928384 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (if (<=.f64 rand #s(literal 13500000000000000067875480669316803468202086541523516722249383066451556046124244973410802266579253932725370880 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -140000000000000002712071978422820794286916796601113666117540295571504623123338437286114651103297536 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 13500000000000000067875480669316803468202086541523516722249383066451556046124244973410802266579253932725370880 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -140000000000000002712071978422820794286916796601113666117540295571504623123338437286114651103297536 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 13500000000000000067875480669316803468202086541523516722249383066451556046124244973410802266579253932725370880 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712 binary64)) (.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 59049 binary64) (.f64 (.f64 a a) #s(literal -531441 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (if (<=.f64 rand #s(literal 9599999999999999892203179870608187029049523496078806786739211794943990924053135781602706238786921833644820564511713079096649814073481006940160 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -729 binary64) (.f64 #s(literal 59049 binary64) (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))))
(if (<=.f64 rand #s(literal -499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712 binary64)) (.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 a (.f64 a (+.f64 #s(literal -729 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 59049 binary64) (.f64 (.f64 a a) #s(literal -531441 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (if (<=.f64 rand #s(literal 9599999999999999892203179870608187029049523496078806786739211794943990924053135781602706238786921833644820564511713079096649814073481006940160 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -729 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 59049 binary64)))))))))
(if (<=.f64 rand #s(literal -919999999999999919693942707948844355394710999321934538559920419067280897194664495960762988056706089520412424011677455275700850949881856 binary64)) (.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (if (<=.f64 rand #s(literal 9599999999999999892203179870608187029049523496078806786739211794943990924053135781602706238786921833644820564511713079096649814073481006940160 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -729 binary64) (.f64 #s(literal 59049 binary64) (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))))
(if (<=.f64 rand #s(literal -919999999999999919693942707948844355394710999321934538559920419067280897194664495960762988056706089520412424011677455275700850949881856 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal -729 binary64))))) (if (<=.f64 rand #s(literal 9599999999999999892203179870608187029049523496078806786739211794943990924053135781602706238786921833644820564511713079096649814073481006940160 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -729 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 59049 binary64)))))))))
(if (<=.f64 rand #s(literal -820000000000000068762529266155958537195240890863673954461330853365593453513687732304572555487563831401093317061377266436123148278562816 binary64)) (.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (if (<=.f64 rand #s(literal 9599999999999999892203179870608187029049523496078806786739211794943990924053135781602706238786921833644820564511713079096649814073481006940160 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))))
(if (<=.f64 rand #s(literal -820000000000000068762529266155958537195240890863673954461330853365593453513687732304572555487563831401093317061377266436123148278562816 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal -729 binary64))))) (if (<=.f64 rand #s(literal 9599999999999999892203179870608187029049523496078806786739211794943990924053135781602706238786921833644820564511713079096649814073481006940160 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) #s(literal 81 binary64)))))
(if (<=.f64 rand #s(literal -210000000000000009737202988628633925208783728138831517820262191626482735562470771258952660500348070756239284612859326051009672203206656 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a #s(literal 81 binary64)))))))) (if (<=.f64 rand #s(literal 9599999999999999892203179870608187029049523496078806786739211794943990924053135781602706238786921833644820564511713079096649814073481006940160 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))))
(if (<=.f64 rand #s(literal -210000000000000009737202988628633925208783728138831517820262191626482735562470771258952660500348070756239284612859326051009672203206656 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a #s(literal 81 binary64)))))))) (if (<=.f64 rand #s(literal 9599999999999999892203179870608187029049523496078806786739211794943990924053135781602706238786921833644820564511713079096649814073481006940160 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))))) #s(literal 81 binary64)))))
(if (<=.f64 rand #s(literal -44999999999999998484074359607212027422084275445190634497051450620262605122399768310166722427472473547032646256134711280038942072635392 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a #s(literal 81 binary64)))))))) (if (<=.f64 rand #s(literal 3299999999999999809560690617312130302759629665899258505313605753227869821011354467209908866588893219393482923969756844820429925596406594660614847594496 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(if (<=.f64 rand #s(literal -44999999999999998484074359607212027422084275445190634497051450620262605122399768310166722427472473547032646256134711280038942072635392 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a #s(literal 81 binary64)))))))) (if (<=.f64 rand #s(literal 3299999999999999809560690617312130302759629665899258505313605753227869821011354467209908866588893219393482923969756844820429925596406594660614847594496 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(if (<=.f64 rand #s(literal -499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a #s(literal 9 binary64)))) (if (<=.f64 rand #s(literal 80000000000000001374202590977417529443144832674443640861858627561600250102255083360661013942889385461780367676348342678295449011561384049997076395720704 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(if (<=.f64 rand #s(literal -499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 80000000000000001374202590977417529443144832674443640861858627561600250102255083360661013942889385461780367676348342678295449011561384049997076395720704 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(if (<=.f64 rand #s(literal -270000000000000000991359743920258842875939918307908941082721956960729977729161721347905108068120757804248038787346671726730417954357248 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal -3 binary64) (.f64 a #s(literal 9 binary64)))) (if (<=.f64 rand #s(literal 19500000000000000103282038181520826439169589200094192134854856749057429247699675580332349062433699646085567206097772005341461934570743145872633102336 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 a (.f64 a a)) #s(literal 9 binary64))))
(if (<=.f64 rand #s(literal -270000000000000000991359743920258842875939918307908941082721956960729977729161721347905108068120757804248038787346671726730417954357248 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 19500000000000000103282038181520826439169589200094192134854856749057429247699675580332349062433699646085567206097772005341461934570743145872633102336 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)))))
(if (<=.f64 rand #s(literal 43000000000000001538156489375529501679946536239318444752254509070410000739601326405058511919040760344517103411177156306422577610607039653761490354176 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 a (*.f64 a a)) #s(literal 9 binary64)))
(if (<=.f64 rand #s(literal 43000000000000001538156489375529501679946536239318444752254509070410000739601326405058511919040760344517103411177156306422577610607039653761490354176 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 #s(literal 9 binary64) (.f64 a (*.f64 a a))))
(+.f64 #s(literal -1/3 binary64) a)
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)

soundness3.1s (25.9%)

Rules

5094×	`+-lowering-+.f64`
5094×	`+-lowering-+.f32`
4886×	`-lowering-.f32`
4886×	`-lowering-.f64`
4588×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	112
1	203	99
2	1924	88
0	9254	88
0	447	2711
1	1379	2554
2	5165	2539
0	8239	2539
0	403	2496
1	1268	2310
2	4279	2285
0	8332	2285
0	516	4455
1	1761	3962
2	6981	3943
0	8118	3943
0	31	144
1	200	133
2	2172	123
0	9067	123
0	356	4072
1	1186	3499
2	4421	3441
0	8140	3441
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×	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

Compiler

Compiled 2025 to 1193 computations (41.1% saved)

preprocess98.0ms (0.8%)

Compiler: Compiled 1158 to 310 computations (73.2% saved)

analyze40.0ms (0.3%)

sample1.2s (9.8%)

preprocess225.0ms (1.9%)

explain172.0ms (1.5%)

eval2.0ms (0%)

prune1.0ms (0%)

simplify129.0ms (1.1%)

localize93.0ms (0.8%)

series21.0ms (0.2%)

rewrite306.0ms (2.6%)

simplify294.0ms (2.5%)

eval176.0ms (1.5%)

prune117.0ms (1%)

simplify215.0ms (1.8%)

localize248.0ms (2.1%)

series55.0ms (0.5%)

rewrite347.0ms (2.9%)

simplify358.0ms (3%)

eval188.0ms (1.6%)

prune184.0ms (1.6%)

simplify227.0ms (1.9%)

localize163.0ms (1.4%)

series20.0ms (0.2%)

rewrite743.0ms (6.3%)

simplify320.0ms (2.7%)

eval203.0ms (1.7%)

prune163.0ms (1.4%)

simplify165.0ms (1.4%)

localize215.0ms (1.8%)

series11.0ms (0.1%)

rewrite367.0ms (3.1%)

simplify276.0ms (2.3%)

eval249.0ms (2.1%)

prune332.0ms (2.8%)

regimes66.0ms (0.6%)

regimes32.0ms (0.3%)

regimes31.0ms (0.3%)

regimes28.0ms (0.2%)

regimes67.0ms (0.6%)

regimes13.0ms (0.1%)

regimes18.0ms (0.2%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes5.0ms (0%)

regimes23.0ms (0.2%)

regimes3.0ms (0%)

bsearch3.0ms (0%)

bsearch45.0ms (0.4%)

bsearch42.0ms (0.4%)

bsearch41.0ms (0.3%)

bsearch40.0ms (0.3%)

bsearch33.0ms (0.3%)

bsearch50.0ms (0.4%)

bsearch34.0ms (0.3%)

bsearch40.0ms (0.3%)

bsearch54.0ms (0.5%)

bsearch48.0ms (0.4%)

bsearch41.0ms (0.3%)

bsearch23.0ms (0.2%)

simplify22.0ms (0.2%)

soundness3.1s (25.9%)

preprocess98.0ms (0.8%)

end0.0ms (0%)

Profiling