Metrics for Octave 3.8, oct_fill

analyze20.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (48.6% of total)

ival-div: 2.0ms (19.4% of total)

ival-sub: 1.0ms (9.7% of total)

ival-add: 1.0ms (9.7% of total)

ival-sqrt: 1.0ms (9.7% of total)

const: 0.0ms (0% of total)

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

sample1.2s (10%)

Results

927.0ms	8256×	0	valid
41.0ms	526×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 683.0ms

ival-mult: 286.0ms (41.9% of total)

ival-div: 167.0ms (24.5% of total)

ival-sqrt: 86.0ms (12.6% of total)

ival-sub: 60.0ms (8.8% of total)

ival-add: 60.0ms (8.8% of total)

const: 19.0ms (2.8% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess248.0ms (2%)

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))

explain194.0ms (1.6%)

FPErrors

Click to see full error table

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

Results

108.0ms	488×	0	valid
15.0ms	8×	1	valid
4.0ms	12×	2	valid
3.0ms	4×	5	exit

Compiler

Compiled 196 to 41 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-sqrt: 14.0ms (31.1% of total)

ival-mult: 12.0ms (26.7% of total)

ival-div: 10.0ms (22.2% of total)

ival-sub: 3.0ms (6.7% of total)

ival-add: 3.0ms (6.7% of total)

const: 1.0ms (2.2% of total)

backward-pass: 1.0ms (2.2% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
▶	99.8%	(.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)))

▶

99.8%

(*.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)

simplify139.0ms (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

localize114.0ms (0.9%)

Localize:

Found 8 expressions of interest:

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

Results

74.0ms	244×	0	valid
4.0ms	6×	2	valid
3.0ms	2×	5	exit
2.0ms	4×	1	valid

Compiler

Compiled 138 to 21 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-sqrt: 18.0ms (31.7% of total)

ival-add: 15.0ms (26.5% of total)

ival-mult: 10.0ms (17.6% of total)

ival-div: 6.0ms (10.6% of total)

...c/correct-round.rkt:119:19: 5.0ms (8.8% of total)

const: 1.0ms (1.8% of total)

ival-sub: 1.0ms (1.8% of total)

backward-pass: 1.0ms (1.8% of total)

series25.0ms (0.2%)

Counts

12 → 216

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

Calls

54 calls:

Time	Variable		Point	Expression
8.0ms	a	@	0	(sqrt (* (+ a -1/3) 9))
1.0ms	a	@	inf	(sqrt (* (+ a -1/3) 9))
1.0ms	a	@	0	(* (+ a -1/3) (+ 1 (/ rand (sqrt (* (+ a -1/3) 9)))))
1.0ms	rand	@	0	(* (+ a -1/3) (+ 1 (/ rand (sqrt (* (+ a -1/3) 9)))))
1.0ms	a	@	-inf	(* (+ a -1/3) (+ 1 (/ rand (sqrt (* (+ a -1/3) 9)))))

rewrite361.0ms (2.9%)

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	93
1	122	89
2	860	79
0	9037	79

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 692

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

simplify343.0ms (2.7%)

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	4011
1	1186	3438
2	4421	3380
0	8140	3380

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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

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))))))))
(.f64 a (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))) a) (+.f64 (+.f64 (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a))))))) #s(literal 0 binary64)) #s(literal 1 binary64))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(.f64 a (+.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 (* 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)))))
(.f64 a (+.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 (.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))))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -9 binary64)))) a)))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.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 #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))))) (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 0 binary64)) a)) a)))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) rand) (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) rand) (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) rand) (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(+.f64 #s(literal 1 binary64) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(+.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))))))
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(.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 (* 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)))))))
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(+ 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)))))))))
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(+ 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))))
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(+ 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))))
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(+ 1 (+ (* -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 (+ (* -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 (/ (+ (* 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
#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))))))
(* 1/3 (* 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))))
(+.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)))))
(+.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 #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 (/ (+ (* 1/18 (* (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 #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
#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)))
(+.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (.f64 a #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 a (+.f64 (*.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 a (+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 a (+.f64 (/.f64 (.f64 a #s(literal 3/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/2 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/2 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -9 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(.f64 a (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (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 (* 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)))))))
-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)))
(* 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 (sqrt -1/3))
(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(+.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (.f64 a #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 a (+.f64 (*.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 a (+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 a (+.f64 (/.f64 (.f64 a #s(literal 3/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/2 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/2 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -9 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(.f64 a (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (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 (* 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)))))))

eval179.0ms (1.4%)

Compiler: Compiled 29346 to 2718 computations (90.7% saved)

prune109.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	1018	8	1026
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	1019	9	1028

Accuracy

100.0%

Counts

1028 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (+.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))) a) #s(literal 1/3 binary64))
▶	99.8%	(+.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))
▶	60.7%	(+.f64 #s(literal -1/3 binary64) a)
	98.9%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
✓	99.8%	(.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 #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) rand)))
	40.4%	(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
	78.8%	(.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)))

Compiler

Compiled 234 to 167 computations (28.6% saved)

simplify200.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3160×	`-lowering-.f32`
3160×	`-lowering-.f64`
1582×	`sum3-define`
1442×	`+-lowering-+.f64`
1442×	`+-lowering-+.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	205
1	77	201
2	190	200
3	627	193
4	1632	192
5	4333	186
0	8207	186

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize223.0ms (1.8%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.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))) a)
✓	accuracy	100.0%	(pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.6%	(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
✓	accuracy	88.2%	(/.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)))
✓	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	99.5%	(.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	100.0%	(*.f64 a #s(literal 9 binary64))
✓	accuracy	99.9%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 a #s(literal 9 binary64)))
✓	accuracy	99.7%	(/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal -1/3 binary64) a)
✓	accuracy	100.0%	(pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.8%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) rand)))
✓	accuracy	99.6%	(/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))
✓	accuracy	99.6%	(*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) rand)

Results

154.0ms

256×

valid

Compiler

Compiled 210 to 32 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 28.0ms (35.5% of total)

ival-pow: 15.0ms (19% of total)

...c/correct-round.rkt:119:19: 11.0ms (13.9% of total)

ival-div: 8.0ms (10.1% of total)

ival-add: 8.0ms (10.1% of total)

ival-sqrt: 7.0ms (8.9% of total)

ival-sub: 1.0ms (1.3% of total)

const: 1.0ms (1.3% of total)

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

series35.0ms (0.3%)

Counts

21 → 396

Calls

Call 1

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

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

Calls

99 calls:

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

rewrite428.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3362×	`/-lowering-/.f32`
3362×	`/-lowering-/.f64`
2304×	`-lowering-.f32`
2304×	`-lowering-.f64`
1828×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	165
1	205	159
2	2136	153
0	8336	153

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 991

Calls

Call 1

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

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

simplify304.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

5658×	`-lowering-.f32`
5658×	`-lowering-.f64`
4406×	`+-lowering-+.f64`
4406×	`+-lowering-+.f32`
1776×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	676	6088
1	2304	5173
0	8822	5173

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

eval243.0ms (1.9%)

Compiler: Compiled 46477 to 4769 computations (89.7% saved)

prune249.0ms (2%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1880	17	1897
Fresh	3	0	3
Picked	4	1	5
Done	0	1	1
Total	1887	19	1906

Accuracy

100.0%

Counts

1906 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.2%	(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
	19.2%	(/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
▶	37.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
	99.0%	(-.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 a)) rand)) a) #s(literal 1/3 binary64))
	99.0%	(-.f64 (+.f64 (.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64))
	99.8%	(+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 rand (.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) a)
	99.8%	(+.f64 (.f64 (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
▶	99.8%	(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
	98.9%	(+.f64 (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
✓	60.7%	(+.f64 #s(literal -1/3 binary64) a)
	37.1%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
	19.1%	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
▶	99.0%	(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))))
✓	99.8%	(.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))))))
	30.5%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
	40.4%	(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand))
▶	98.1%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
	59.9%	a
▶	1.7%	#s(literal -1/3 binary64)

Compiler

Compiled 447 to 331 computations (26% saved)

simplify154.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2918×	`fma-define`
1888×	`sum3-define`
1832×	`sum5-define`
1786×	`fma-lowering-fma.f32`
1786×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	28	143
1	72	143
2	153	138
3	419	138
4	985	138
5	1955	135
6	3385	135
7	5592	135
0	8371	135

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize122.0ms (1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 a)
✓	accuracy	99.9%	(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))))
✓	accuracy	99.6%	(/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))
✓	accuracy	99.6%	(/.f64 rand (sqrt.f64 a))
✓	accuracy	100.0%	(*.f64 a #s(literal 9 binary64))
✓	accuracy	99.9%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 a #s(literal 9 binary64)))
✓	accuracy	99.7%	(/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
✓	accuracy	56.4%	(/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))
✓	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 rand #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))

Results

82.0ms

256×

valid

Compiler

Compiled 148 to 29 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-div: 10.0ms (22.5% of total)

ival-mult: 9.0ms (20.3% of total)

...c/correct-round.rkt:119:19: 9.0ms (20.3% of total)

ival-add: 7.0ms (15.8% of total)

ival-sqrt: 6.0ms (13.5% of total)

ival-sub: 3.0ms (6.8% of total)

const: 1.0ms (2.3% of total)

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

series18.0ms (0.1%)

Counts

20 → 348

Calls

Call 1

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

Calls

87 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(* (+ a -1/3) (+ 1 (/ (/ rand (sqrt a)) 3)))
3.0ms	a	@	-inf	(+ 1 (/ (/ rand (sqrt a)) 3))
1.0ms	a	@	-inf	(* a (+ 1 (/ rand (sqrt (* a 9)))))
1.0ms	a	@	0	(/ 1 (/ (- -1/3 a) (- 1/9 (* a a))))
1.0ms	a	@	inf	(/ 1 (/ (- -1/3 a) (- 1/9 (* a a))))

rewrite380.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

3964×	`/-lowering-/.f32`
3964×	`/-lowering-/.f64`
3130×	`-lowering-.f32`
3130×	`-lowering-.f64`
1574×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	111
1	193	106
2	1993	105
0	8674	105

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1075

Calls

Call 1

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

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

simplify272.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

4456×	`-lowering-.f32`
4456×	`-lowering-.f64`
4270×	`+-lowering-+.f64`
4270×	`+-lowering-+.f32`
1204×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	350	3068
1	1106	2843
2	4035	2802
0	8251	2802

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

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

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

eval199.0ms (1.6%)

Compiler: Compiled 35302 to 3460 computations (90.2% saved)

prune231.0ms (1.9%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	1534	16	1550
Fresh	8	4	12
Picked	3	2	5
Done	1	1	2
Total	1546	23	1569

Accuracy

100.0%

Counts

1569 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.1%	(/.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))))
▶	11.0%	(/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (.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))))))
	19.2%	(/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
	11.0%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a 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)))))
	14.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 (.f64 a a) #s(literal -1/9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
	59.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
	9.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
	20.0%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 #s(literal -1/3 binary64) a))))
	99.0%	(-.f64 (+.f64 (.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64))
▶	99.8%	(+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
	85.2%	(+.f64 (/.f64 (.f64 a rand) (sqrt.f64 (.f64 a #s(literal 9 binary64)))) a)
	99.8%	(+.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 3 binary64) rand))) a)
	98.9%	(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64))) a)
	98.1%	(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
✓	60.7%	(+.f64 #s(literal -1/3 binary64) a)
	14.6%	(.f64 (/.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 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
	37.1%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
	98.1%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))) a)
▶	40.4%	(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand))
✓	98.1%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
	39.6%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
▶	59.9%	a
✓	1.7%	#s(literal -1/3 binary64)

Compiler

Compiled 662 to 436 computations (34.1% saved)

simplify166.0ms (1.3%)

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

Rules

2622×	`-lowering-.f32`
2622×	`-lowering-.f64`
2512×	`+-lowering-+.f64`
2512×	`+-lowering-+.f32`
1340×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	196
1	96	172
2	296	168
3	927	168
4	3557	168
0	8100	168

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize194.0ms (1.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 a #s(literal -1/3 binary64))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand))
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) rand)
✓	accuracy	99.9%	(.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)))))
✓	accuracy	99.8%	(.f64 a (.f64 a a))
✓	accuracy	99.8%	(.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
✓	accuracy	23.9%	(/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (.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))))))
✓	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	99.4%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))
✓	accuracy	57.0%	(/.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))))
✓	accuracy	100.0%	(+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) rand) #s(literal 3 binary64)) (+.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)) rand)
✓	accuracy	99.6%	(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) rand) #s(literal 3 binary64))

Results

131.0ms

256×

valid

Compiler

Compiled 219 to 34 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-sub: 35.0ms (37.7% of total)

ival-mult: 17.0ms (18.3% of total)

...c/correct-round.rkt:119:19: 17.0ms (18.3% of total)

ival-add: 11.0ms (11.9% of total)

ival-div: 9.0ms (9.7% of total)

ival-sqrt: 4.0ms (4.3% of total)

const: 1.0ms (1.1% of total)

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

series15.0ms (0.1%)

Counts

20 → 288

Calls

Call 1

Inputs
#<alt (+ (/ (* (sqrt (+ -1/3 a)) rand) 3) (+ -1/3 a))>
#<alt (/ (* (sqrt (+ -1/3 a)) rand) 3)>
#<alt (* (sqrt (+ -1/3 a)) rand)>
#<alt (sqrt (+ -1/3 a))>
#<alt (/ (/ 1 (- -1/3 a)) (/ 1 (- 1/9 (* a a))))>
#<alt (/ 1 (- -1/3 a))>
#<alt (- -1/3 a)>
#<alt (/ 1 (- 1/9 (* a a)))>
#<alt (/ (- 1/729 (* (* a a) (* a (* a (* a a))))) (* (- -1/3 a) (+ 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 (* a a)>
#<alt (* (sqrt (+ a -1/3)) (* 1/3 rand))>
#<alt (sqrt (+ a -1/3))>
#<alt (+ a -1/3)>
#<alt (* 1/3 rand)>
#<alt (- 1/9 (* a a))>
#<alt (* (* a a) (+ 1/9 (* a a)))>
#<alt (* a (* a a))>
#<alt (* (- -1/3 a) (+ 1/81 (* (* 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 (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 (* rand (sqrt -1/3))>
#<alt (+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))>
#<alt (* (sqrt a) rand)>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* 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 -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 (- (* -1 a) 1/3)>
#<alt (- (* -1 a) 1/3)>
#<alt (- (* -1 a) 1/3)>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))>
#<alt (* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))>
#<alt (* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))>
#<alt (* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))>
#<alt (* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))>
#<alt 9>
#<alt (+ 9 (* 81 (pow a 2)))>
#<alt (+ 9 (* (pow a 2) (+ 81 (* 729 (pow a 2)))))>
#<alt (+ 9 (* (pow a 2) (+ 81 (* (pow a 2) (+ 729 (* 6561 (pow a 2)))))))>
#<alt (/ -1 (pow a 2))>
#<alt (* -1 (/ (+ 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 2)))>
#<alt (/ (- (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow a 2)))) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (+ 1/81 (* 1/729 (/ 1 (pow a 2)))) (pow a 4))) (+ 1 (* 1/9 (/ 1 (pow a 2))))) (pow a 2))>
#<alt (/ -1 (pow a 2))>
#<alt (* -1 (/ (+ 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 2)))>
#<alt (/ (- (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow a 2)))) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (+ 1/81 (* 1/729 (/ 1 (pow a 2)))) (pow a 4))) (+ 1 (* 1/9 (/ 1 (pow a 2))))) (pow a 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 1/729>
#<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 (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* 1/3 (* rand (sqrt -1/3)))>
#<alt (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt 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 (* 1/9 (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)))))>
#<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 -1/243>
#<alt (- (* -1/81 a) 1/243)>
#<alt (- (* a (- (* -1/27 a) 1/81)) 1/243)>
#<alt (- (* a (- (* a (- (* -1/9 a) 1/27)) 1/81)) 1/243)>
#<alt (* -1 (pow a 5))>
#<alt (* -1 (* (pow a 5) (+ 1 (* 1/3 (/ 1 a)))))>
#<alt (* (pow a 5) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 a))) a)) 1))>
#<alt (* (pow a 5) (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 a))) (pow a 2))) (+ 1 (* 1/3 (/ 1 a)))))>
#<alt (* -1 (pow a 5))>
#<alt (* -1 (* (pow a 5) (+ 1 (* 1/3 (/ 1 a)))))>
#<alt (* -1 (* (pow a 5) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a))))))>
#<alt (* -1 (* (pow a 5) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 a))) a)) 1/3) a)))))>

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(+ (/ (* (sqrt (+ -1/3 a)) rand) 3) (+ -1/3 a))
1.0ms	a	@	0	(* (- -1/3 a) (+ 1/81 (* (* a a) (+ 1/9 (* a a)))))
1.0ms	a	@	inf	(/ (- 1/729 (* (* a a) (* a (* a (* a a))))) (* (- -1/3 a) (+ 1/81 (* (* a a) (+ 1/9 (* a a))))))
1.0ms	a	@	0	(/ (- 1/729 (* (* a a) (* a (* a (* a a))))) (* (- -1/3 a) (+ 1/81 (* (* a a) (+ 1/9 (* a a))))))
0.0ms	a	@	-inf	(/ (- 1/729 (* (* a a) (* a (* a (* a a))))) (* (- -1/3 a) (+ 1/81 (* (* a a) (+ 1/9 (* a a))))))

rewrite493.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3392×	`/-lowering-/.f32`
3392×	`/-lowering-/.f64`
2932×	`-lowering-.f32`
2932×	`-lowering-.f64`
1976×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	142
1	212	106
2	2128	104
0	9299	104

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1072

Calls

Call 1

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

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

simplify319.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

4498×	`-lowering-.f32`
4498×	`-lowering-.f64`
3114×	`+-lowering-+.f64`
3114×	`+-lowering-+.f32`
1458×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	419	2960
1	1376	2627
2	5049	2586
0	8359	2586

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 (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))))
(* rand (sqrt -1/3))
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))
(* (sqrt a) rand)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 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)))
-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
(- (* -1 a) 1/3)
(- (* -1 a) 1/3)
(- (* -1 a) 1/3)
(* -1 a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(* -1 a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
9
(+ 9 (* 81 (pow a 2)))
(+ 9 (* (pow a 2) (+ 81 (* 729 (pow a 2)))))
(+ 9 (* (pow a 2) (+ 81 (* (pow a 2) (+ 729 (* 6561 (pow a 2)))))))
(/ -1 (pow a 2))
(* -1 (/ (+ 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 2)))
(/ (- (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow a 2)))) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (+ 1/81 (* 1/729 (/ 1 (pow a 2)))) (pow a 4))) (+ 1 (* 1/9 (/ 1 (pow a 2))))) (pow a 2))
(/ -1 (pow a 2))
(* -1 (/ (+ 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 2)))
(/ (- (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow a 2)))) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (+ 1/81 (* 1/729 (/ 1 (pow a 2)))) (pow a 4))) (+ 1 (* 1/9 (/ 1 (pow a 2))))) (pow a 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)))
1/729
(+ 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)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
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))
(* 1/9 (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)))))
(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)
-1/243
(- (* -1/81 a) 1/243)
(- (* a (- (* -1/27 a) 1/81)) 1/243)
(- (* a (- (* a (- (* -1/9 a) 1/27)) 1/81)) 1/243)
(* -1 (pow a 5))
(* -1 (* (pow a 5) (+ 1 (* 1/3 (/ 1 a)))))
(* (pow a 5) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 a))) a)) 1))
(* (pow a 5) (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 a))) (pow a 2))) (+ 1 (* 1/3 (/ 1 a)))))
(* -1 (pow a 5))
(* -1 (* (pow a 5) (+ 1 (* 1/3 (/ 1 a)))))
(* -1 (* (pow a 5) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a))))))
(* -1 (* (pow a 5) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 a))) a)) 1/3) a)))))

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 #s(literal 1/6 binary64) (/.f64 rand (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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (.f64 a (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 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 (.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (+.f64 (.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))))) #s(literal 1 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 #s(literal -1/3 binary64) (.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 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) a))))))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.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 (/.f64 #s(literal 1 binary64) (.f64 a a)) a))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal -1/216 binary64)))))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(.f64 a (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1/18 binary64))) 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 a (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (-.f64 (.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (.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)))) a)) a)))))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* 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 #s(literal 1/6 binary64) (/.f64 rand (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 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (+.f64 (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 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 (/.f64 #s(literal 1 binary64) (*.f64 a 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 (/.f64 #s(literal 1 binary64) (.f64 a 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 (/.f64 #s(literal 1 binary64) (.f64 a 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 (pow (sqrt -1) 2))))
(.f64 rand (.f64 #s(literal 1/3 binary64) (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 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a 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 a (+.f64 (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) a)) #s(literal 1/18 binary64)))) (neg.f64 (.f64 (*.f64 rand (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 a (+.f64 (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) a)) #s(literal 1/18 binary64)))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) 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))
(* rand (sqrt -1/3))
(*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
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(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
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(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
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(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
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(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))
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(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 rand (sqrt.f64 a))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
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(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
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(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
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(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) 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 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64)))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.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))))))
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(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a 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)))))))
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(* 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))))))))
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(* -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 (/.f64 #s(literal 1 binary64) (.f64 a 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))))))
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(* -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)))))))
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-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 #s(literal -1/3 binary64) a)
-3
#s(literal -3 binary64)
(- (* 9 a) 3)
(+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))
(- (* a (+ 9 (* -27 a))) 3)
(+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64))
(- (* a (+ 9 (* a (- (* 81 a) 27)))) 3)
(+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 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 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) a)) a) #s(literal -1 binary64)) a)
(/ (- (+ (* 1/3 (/ 1 a)) (* 1/27 (/ 1 (pow a 3)))) (+ 1 (/ 1/9 (pow a 2)))) a)
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (.f64 a (.f64 a a))) (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) a)) a) #s(literal -1 binary64))) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(* -1 (/ (- 1 (* 1/3 (/ 1 a))) a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 0 binary64) 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)
(- (* -1 a) 1/3)
(-.f64 #s(literal -1/3 binary64) a)
(- (* -1 a) 1/3)
(-.f64 #s(literal -1/3 binary64) a)
(- (* -1 a) 1/3)
(-.f64 #s(literal -1/3 binary64) a)
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(-.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(-.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(-.f64 #s(literal -1/3 binary64) a)
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(-.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(-.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(-.f64 #s(literal -1/3 binary64) a)
9
#s(literal 9 binary64)
(+ 9 (* 81 (pow a 2)))
(+.f64 #s(literal 9 binary64) (.f64 #s(literal 81 binary64) (.f64 a a)))
(+ 9 (* (pow a 2) (+ 81 (* 729 (pow a 2)))))
(+.f64 #s(literal 9 binary64) (.f64 a (.f64 a (+.f64 #s(literal 81 binary64) (.f64 a (.f64 a #s(literal 729 binary64)))))))
(+ 9 (* (pow a 2) (+ 81 (* (pow a 2) (+ 729 (* 6561 (pow a 2)))))))
(+.f64 #s(literal 9 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 729 binary64) (.f64 (.f64 a a) #s(literal 6561 binary64)))))))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(* -1 (/ (+ 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 2)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) (.f64 a a))) (.f64 a a))
(/ (- (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow a 2)))) (pow a 2))) 1) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) (.f64 a a))) (.f64 a a))) (*.f64 a a))
(/ (- (* -1 (/ (+ 1/81 (* 1/729 (/ 1 (pow a 2)))) (pow a 4))) (+ 1 (* 1/9 (/ 1 (pow a 2))))) (pow a 2))
(/.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) (.f64 a a))) (/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1/729 binary64) (.f64 a a))) (.f64 a (.f64 a (.f64 a a))))) (.f64 a a))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(* -1 (/ (+ 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 2)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) (.f64 a a))) (.f64 a a))
(/ (- (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow a 2)))) (pow a 2))) 1) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) (.f64 a a))) (.f64 a a))) (*.f64 a a))
(/ (- (* -1 (/ (+ 1/81 (* 1/729 (/ 1 (pow a 2)))) (pow a 4))) (+ 1 (* 1/9 (/ 1 (pow a 2))))) (pow a 2))
(/.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) (.f64 a a))) (/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1/729 binary64) (.f64 a a))) (.f64 a (.f64 a (.f64 a 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 #s(literal -1/3 binary64) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 #s(literal -1/3 binary64) a)
1/729
#s(literal 1/729 binary64)
(+ 1/729 (* -1 (pow a 6)))
(-.f64 #s(literal 1/729 binary64) (pow.f64 a #s(literal 6 binary64)))
(+ 1/729 (* -1 (pow a 6)))
(-.f64 #s(literal 1/729 binary64) (pow.f64 a #s(literal 6 binary64)))
(+ 1/729 (* -1 (pow a 6)))
(-.f64 #s(literal 1/729 binary64) (pow.f64 a #s(literal 6 binary64)))
(* -1 (pow a 6))
(-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64)))
(* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))
(*.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 a #s(literal 6 binary64)))))
(* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))
(*.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 a #s(literal 6 binary64)))))
(* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))
(*.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 a #s(literal 6 binary64)))))
(* -1 (pow a 6))
(-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64)))
(* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))
(*.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 a #s(literal 6 binary64)))))
(* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))
(*.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 a #s(literal 6 binary64)))))
(* (pow a 6) (- (* 1/729 (/ 1 (pow a 6))) 1))
(*.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 a #s(literal 6 binary64)))))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* 1/3 (* 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 #s(literal 1/6 binary64) (/.f64 rand (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 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (+.f64 (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 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 (/.f64 #s(literal 1 binary64) (*.f64 a 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 (/.f64 #s(literal 1 binary64) (.f64 a 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 (/.f64 #s(literal 1 binary64) (.f64 a 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 (pow (sqrt -1) 2))))
(.f64 rand (.f64 #s(literal 1/3 binary64) (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 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a 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 a (+.f64 (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) a)) #s(literal 1/18 binary64)))) (neg.f64 (.f64 (*.f64 rand (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 a (+.f64 (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) a)) #s(literal 1/18 binary64)))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) 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 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64)))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.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 (/.f64 #s(literal 1 binary64) (*.f64 a a)) a)) #s(literal -1/6 binary64))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(.f64 a (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a 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 (/.f64 #s(literal 1 binary64) (.f64 a 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))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(.f64 a (.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a 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 (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a 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 (* 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 (/.f64 #s(literal 1 binary64) (.f64 a 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
#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 #s(literal -1/3 binary64) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 #s(literal -1/3 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)
(+ 1/9 (* -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))))
(* 1/9 (pow a 2))
(.f64 a (.f64 a #s(literal 1/9 binary64)))
(* (pow a 2) (+ 1/9 (pow a 2)))
(.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(* (pow a 2) (+ 1/9 (pow a 2)))
(.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(* (pow a 2) (+ 1/9 (pow a 2)))
(.f64 (.f64 a 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 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 a (.f64 a (*.f64 a a))))
(* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 a (.f64 a (*.f64 a a))))
(* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 a (.f64 a (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 a (.f64 a (*.f64 a a))))
(* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 a (.f64 a (*.f64 a a))))
(* (pow a 4) (+ 1 (* 1/9 (/ 1 (pow a 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 a (.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))
-1/243
#s(literal -1/243 binary64)
(- (* -1/81 a) 1/243)
(+.f64 (*.f64 a #s(literal -1/81 binary64)) #s(literal -1/243 binary64))
(- (* a (- (* -1/27 a) 1/81)) 1/243)
(+.f64 (.f64 a (+.f64 #s(literal -1/81 binary64) (.f64 a #s(literal -1/27 binary64)))) #s(literal -1/243 binary64))
(- (* a (- (* a (- (* -1/9 a) 1/27)) 1/81)) 1/243)
(+.f64 (.f64 a (+.f64 #s(literal -1/81 binary64) (.f64 a (+.f64 #s(literal -1/27 binary64) (*.f64 a #s(literal -1/9 binary64)))))) #s(literal -1/243 binary64))
(* -1 (pow a 5))
(-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 5 binary64)))
(* -1 (* (pow a 5) (+ 1 (* 1/3 (/ 1 a)))))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* (pow a 5) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 a))) a)) 1))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) a)) a)))
(* (pow a 5) (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 a))) (pow a 2))) (+ 1 (* 1/3 (/ 1 a)))))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) a)) a)) a) #s(literal -1 binary64)))
(* -1 (pow a 5))
(-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 5 binary64)))
(* -1 (* (pow a 5) (+ 1 (* 1/3 (/ 1 a)))))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* (pow a 5) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a))))))
(.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) (.f64 a a))) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* (pow a 5) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 a))) a)) 1/3) a)))))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (-.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))))

eval247.0ms (2%)

Compiler: Compiled 53410 to 3484 computations (93.5% saved)

prune288.0ms (2.3%)

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	1499	11	1510
Fresh	4	11	15
Picked	4	1	5
Done	1	2	3
Total	1508	25	1533

Accuracy

100.0%

Counts

1533 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.8%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
	8.8%	(/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))) #s(literal -1/243 binary64))
	5.6%	(/.f64 (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 a a))))
	9.1%	(/.f64 (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
	5.7%	(/.f64 (+.f64 (.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 a a))))
	40.4%	(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64))
	14.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 (.f64 a a) #s(literal -1/9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
	59.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
	9.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
	20.0%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 #s(literal -1/3 binary64) a))))
	9.2%	(/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
	99.0%	(-.f64 (+.f64 (.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64))
	85.2%	(+.f64 (/.f64 (.f64 a rand) (sqrt.f64 (.f64 a #s(literal 9 binary64)))) a)
	99.8%	(+.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 3 binary64) rand))) a)
	98.1%	(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
✓	60.7%	(+.f64 #s(literal -1/3 binary64) a)
	14.6%	(.f64 (/.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 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
	98.1%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))) a)
	40.4%	(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64)))
	39.6%	(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
	40.4%	(*.f64 rand (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
	39.6%	(.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
	39.6%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
✓	59.9%	a
✓	1.7%	#s(literal -1/3 binary64)

Compiler

Compiled 1009 to 422 computations (58.2% saved)

regimes98.0ms (0.8%)

Counts

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

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

Calls

4 calls:

47.0ms	a
17.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
16.0ms	rand
14.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))

Results

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

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes29.0ms (0.2%)

Counts

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

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

Calls

2 calls:

14.0ms	rand
12.0ms	a

Results

Accuracy	Segments	Branch
99.8%	1	`a`
99.8%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes41.0ms (0.3%)

Counts

43 → 1

Calls

Call 1

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

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:

23.0ms	a
14.0ms	rand

Results

Accuracy	Segments	Branch
99.8%	1	`a`
99.8%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes44.0ms (0.4%)

Counts

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

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

Calls

2 calls:

29.0ms	a
11.0ms	rand

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes37.0ms (0.3%)

Counts

41 → 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 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.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 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(/.f64 (+.f64 (.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (.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 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))) #s(literal -1/243 binary64))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.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 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 a a))))
(.f64 (/.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 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (.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 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a 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 binary64) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 (.f64 a a) #s(literal -1/9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64)))
(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(*.f64 rand (/.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)) rand) #s(literal 3 binary64))
(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))) a)
(+.f64 (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64))) a)
(+.f64 (/.f64 (.f64 a rand) (sqrt.f64 (.f64 a #s(literal 9 binary64)))) a)
(-.f64 (+.f64 (.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
(.f64 (+.f64 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:

22.0ms	rand
11.0ms	a

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes38.0ms (0.3%)

Counts

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

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

Calls

2 calls:

24.0ms	rand
11.0ms	a

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes29.0ms (0.2%)

Counts

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

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

Calls

2 calls:

15.0ms	a
10.0ms	rand

Results

Accuracy	Segments	Branch
98.9%	1	`a`
98.9%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes62.0ms (0.5%)

Counts

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

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

Calls

2 calls:

39.0ms	rand
10.0ms	a

Results

Accuracy	Segments	Branch
98.1%	1	`a`
98.1%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes43.0ms (0.3%)

Counts

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

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

Calls

2 calls:

9.0ms	rand
9.0ms	a

Results

Accuracy	Segments	Branch
98.1%	1	`a`
98.1%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes20.0ms (0.2%)

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

Outputs

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

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

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

Calls

2 calls:

8.0ms	a
8.0ms	rand

Results

Accuracy	Segments	Branch
95.2%	3	`rand`
64.1%	3	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts

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

Outputs

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

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

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

Calls

1 calls:

12.0ms

rand

Results

Accuracy	Segments	Branch
95.2%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (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 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.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 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(/.f64 (+.f64 (.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (.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 a (.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))) #s(literal -1/243 binary64))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.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 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 a a))))
(.f64 (/.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 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (.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 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a 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 binary64) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 (.f64 a a) #s(literal -1/9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))

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

Calls

1 calls:

8.0ms

rand

Results

Accuracy	Segments	Branch
94.5%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

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

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

Calls

1 calls:

7.0ms

rand

Results

Accuracy	Segments	Branch
94.4%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

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

8.0ms

rand

Results

Accuracy	Segments	Branch
94.4%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

rand

Results

Accuracy	Segments	Branch
70.1%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

rand

Results

Accuracy	Segments	Branch
70.1%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

rand

Results

Accuracy	Segments	Branch
70.0%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

rand

Results

Accuracy	Segments	Branch
69.6%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

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

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

Calls

1 calls:

4.0ms

rand

Results

Accuracy	Segments	Branch
64.5%	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	rand
2.0ms	a

Results

Accuracy	Segments	Branch
60.7%	1	`a`
60.7%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
a

Calls

2 calls:

2.0ms	rand
2.0ms	a

Results

Accuracy	Segments	Branch
59.9%	1	`a`
59.9%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)

Outputs
#s(literal -1/3 binary64)

Calls

2 calls:

1.0ms	rand
1.0ms	a

Results

Accuracy	Segments	Branch
1.7%	1	`a`
1.7%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch23.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	8.346555795207384e+56	8.751659310263002e+56
20.0ms	-1.4611806943633483e+42	-4.278600379191264e+28

Results

15.0ms

160×

valid

Compiler

Compiled 197 to 157 computations (20.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 3.0ms (29.8% of total)

ival-mult: 3.0ms (29.8% of total)

ival-sub: 1.0ms (9.9% of total)

ival-add: 1.0ms (9.9% of total)

ival-sqrt: 1.0ms (9.9% of total)

const: 0.0ms (0% 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
0.0ms	8.346555795207384e+56	8.751659310263002e+56
31.0ms	-1.4611806943633483e+42	-4.278600379191264e+28

Results

25.0ms

160×

valid

Compiler

Compiled 197 to 157 computations (20.3% saved)

Precisions

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

ival-div: 14.0ms (67.4% of total)

ival-mult: 3.0ms (14.4% of total)

ival-sub: 1.0ms (4.8% of total)

ival-add: 1.0ms (4.8% of total)

ival-sqrt: 1.0ms (4.8% of total)

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	8.346555795207384e+56	8.751659310263002e+56
22.0ms	-1.4611806943633483e+42	-4.278600379191264e+28

Results

15.0ms

160×

valid

Compiler

Compiled 177 to 137 computations (22.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (36.8% of total)

ival-mult: 3.0ms (27.6% of total)

ival-sub: 1.0ms (9.2% of total)

ival-add: 1.0ms (9.2% of total)

ival-sqrt: 1.0ms (9.2% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	8.346555795207384e+56	8.751659310263002e+56
25.0ms	-1.4611806943633483e+42	-4.278600379191264e+28

Results

20.0ms

160×

valid

Compiler

Compiled 177 to 137 computations (22.6% saved)

Precisions

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

ival-sqrt: 5.0ms (37.5% of total)

ival-div: 3.0ms (22.5% of total)

ival-mult: 3.0ms (22.5% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch23.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	8.346555795207384e+56	8.751659310263002e+56
20.0ms	-1.4611806943633483e+42	-4.278600379191264e+28

Results

15.0ms

160×

valid

Compiler

Compiled 177 to 137 computations (22.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (39.8% of total)

ival-div: 2.0ms (19.9% of total)

ival-sub: 1.0ms (9.9% of total)

ival-add: 1.0ms (9.9% of total)

ival-sqrt: 1.0ms (9.9% of total)

const: 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
19.0ms	4.7180856925064736e+120	1.8768886262279175e+123
20.0ms	-8.684951369623571e+76	-1.5323570286382586e+66

Results

25.0ms

288×

valid

Compiler

Compiled 535 to 425 computations (20.6% saved)

Precisions

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

ival-mult: 6.0ms (36.6% of total)

ival-div: 5.0ms (30.5% of total)

ival-sub: 2.0ms (12.2% of total)

ival-sqrt: 2.0ms (12.2% of total)

ival-add: 1.0ms (6.1% of total)

const: 1.0ms (6.1% of total)

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

bsearch64.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
41.0ms	4.7180856925064736e+120	1.8768886262279175e+123
19.0ms	-8.684951369623571e+76	-1.5323570286382586e+66

Results

50.0ms

288×

valid

Compiler

Compiled 455 to 365 computations (19.8% saved)

Precisions

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

ival-mult: 6.0ms (36.8% of total)

ival-div: 4.0ms (24.5% of total)

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

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

ival-add: 1.0ms (6.1% of total)

const: 1.0ms (6.1% of total)

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

bsearch47.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.2861138041377238e+154	1.1149234742133833e+157
27.0ms	-8.684951369623571e+76	-1.5323570286382586e+66

Results

33.0ms

288×

valid

Compiler

Compiled 439 to 325 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sqrt: 10.0ms (41% of total)

ival-mult: 6.0ms (24.6% of total)

ival-div: 4.0ms (16.4% of total)

ival-sub: 2.0ms (8.2% of total)

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

const: 1.0ms (4.1% of total)

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

bsearch58.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	5.84995262633709e+136	1.44517030039964e+143
35.0ms	-8.684951369623571e+76	-1.5323570286382586e+66

Results

44.0ms

304×

valid

Compiler

Compiled 409 to 332 computations (18.8% saved)

Precisions

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

ival-mult: 9.0ms (45.5% of total)

ival-div: 5.0ms (25.3% of total)

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

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

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

const: 1.0ms (5.1% of total)

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

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	5.84995262633709e+136	1.44517030039964e+143

Results

13.0ms

144×

valid

Compiler

Compiled 189 to 152 computations (19.6% saved)

Precisions

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

ival-mult: 3.0ms (35.8% of total)

ival-div: 2.0ms (23.9% of total)

ival-sub: 1.0ms (11.9% of total)

ival-add: 1.0ms (11.9% of total)

ival-sqrt: 1.0ms (11.9% of total)

const: 0.0ms (0% of total)

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

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

56×	`*-commutative_binary64`
48×	`+-commutative_binary64`
18×	`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	103	385
1	163	385
2	181	385
3	196	385
4	208	385
5	211	385
6	212	385

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) 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))
(+.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 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
(-.f64 (+.f64 (.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64))
(+.f64 (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -1399999999999999969994494802902762882334720 binary64)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))) (if (<=.f64 rand #s(literal 849999999999999980116088145988437546262405967234073624576 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64)))))
(if (<=.f64 rand #s(literal -1399999999999999969994494802902762882334720 binary64)) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 849999999999999980116088145988437546262405967234073624576 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 -1399999999999999969994494802902762882334720 binary64)) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (if (<=.f64 rand #s(literal 849999999999999980116088145988437546262405967234073624576 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))))
(if (<=.f64 rand #s(literal -1399999999999999969994494802902762882334720 binary64)) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (if (<=.f64 rand #s(literal 849999999999999980116088145988437546262405967234073624576 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -1399999999999999969994494802902762882334720 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 849999999999999980116088145988437546262405967234073624576 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -84999999999999999179297299374994088452370334943378553929760049698256615112704 binary64)) (/.f64 (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))) (if (<=.f64 rand #s(literal 1849999999999999980781030716602326401071151545450639549822378042941107676027056647358512744306243276088979525688466589351936 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(if (<=.f64 rand #s(literal -84999999999999999179297299374994088452370334943378553929760049698256615112704 binary64)) (/.f64 (+.f64 (.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))) (if (<=.f64 rand #s(literal 1849999999999999980781030716602326401071151545450639549822378042941107676027056647358512744306243276088979525688466589351936 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(if (<=.f64 rand #s(literal -84999999999999999179297299374994088452370334943378553929760049698256615112704 binary64)) (/.f64 (+.f64 (.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))) (if (<=.f64 rand #s(literal 22999999999999999807797555675157172151050502620394882990042135988607079196954255528233496712955176272699486730229187546913824132960826144078201347849060352 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))) #s(literal -1/243 binary64))))
(if (<=.f64 rand #s(literal -84999999999999999179297299374994088452370334943378553929760049698256615112704 binary64)) (/.f64 (+.f64 (.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))) (if (<=.f64 rand #s(literal 3499999999999999974801603328684538298648498679311180490671304203477996035800213386229976862599040629453710653525488136835932767914788260937728 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(if (<=.f64 rand #s(literal 53999999999999996516727310597009149399668149106823722842190886086008082621007331737301219132749458283028671841737466413201700471261675323916288 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(+.f64 #s(literal -1/3 binary64) a)
a
#s(literal -1/3 binary64)

Outputs
(+.f64 (/.f64 (*.f64 (sqrt.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 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) rand) #s(literal 3 binary64)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 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 #s(literal -1/3 binary64) a) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))))
(*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
(.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
(-.f64 (+.f64 (.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64))
(-.f64 (+.f64 a (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) #s(literal 1/3 binary64))
(+.f64 (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -1399999999999999969994494802902762882334720 binary64)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))) (if (<=.f64 rand #s(literal 849999999999999980116088145988437546262405967234073624576 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64)))))
(if (<=.f64 rand #s(literal -1399999999999999969994494802902762882334720 binary64)) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64))) (if (<=.f64 rand #s(literal 849999999999999980116088145988437546262405967234073624576 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))))
(if (<=.f64 rand #s(literal -1399999999999999969994494802902762882334720 binary64)) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 849999999999999980116088145988437546262405967234073624576 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 -1399999999999999969994494802902762882334720 binary64)) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64))) (if (<=.f64 rand #s(literal 849999999999999980116088145988437546262405967234073624576 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))))
(if (<=.f64 rand #s(literal -1399999999999999969994494802902762882334720 binary64)) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (if (<=.f64 rand #s(literal 849999999999999980116088145988437546262405967234073624576 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand))))
(if (<=.f64 rand #s(literal -1399999999999999969994494802902762882334720 binary64)) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (if (<=.f64 rand #s(literal 849999999999999980116088145988437546262405967234073624576 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -1399999999999999969994494802902762882334720 binary64)) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (if (<=.f64 rand #s(literal 849999999999999980116088145988437546262405967234073624576 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -1399999999999999969994494802902762882334720 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 849999999999999980116088145988437546262405967234073624576 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -84999999999999999179297299374994088452370334943378553929760049698256615112704 binary64)) (/.f64 (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))) (if (<=.f64 rand #s(literal 1849999999999999980781030716602326401071151545450639549822378042941107676027056647358512744306243276088979525688466589351936 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(if (<=.f64 rand #s(literal -84999999999999999179297299374994088452370334943378553929760049698256615112704 binary64)) (/.f64 (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a (+.f64 #s(literal -27 binary64) (.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))) (if (<=.f64 rand #s(literal 1849999999999999980781030716602326401071151545450639549822378042941107676027056647358512744306243276088979525688466589351936 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(if (<=.f64 rand #s(literal -84999999999999999179297299374994088452370334943378553929760049698256615112704 binary64)) (/.f64 (+.f64 (.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))) (if (<=.f64 rand #s(literal 1849999999999999980781030716602326401071151545450639549822378042941107676027056647358512744306243276088979525688466589351936 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(if (<=.f64 rand #s(literal -84999999999999999179297299374994088452370334943378553929760049698256615112704 binary64)) (/.f64 (+.f64 (.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))) (if (<=.f64 rand #s(literal 1849999999999999980781030716602326401071151545450639549822378042941107676027056647358512744306243276088979525688466589351936 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(if (<=.f64 rand #s(literal -84999999999999999179297299374994088452370334943378553929760049698256615112704 binary64)) (/.f64 (+.f64 (.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))) (if (<=.f64 rand #s(literal 22999999999999999807797555675157172151050502620394882990042135988607079196954255528233496712955176272699486730229187546913824132960826144078201347849060352 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))) #s(literal -1/243 binary64))))
(if (<=.f64 rand #s(literal -84999999999999999179297299374994088452370334943378553929760049698256615112704 binary64)) (/.f64 (+.f64 (.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))) (if (<=.f64 rand #s(literal 3499999999999999974801603328684538298648498679311180490671304203477996035800213386229976862599040629453710653525488136835932767914788260937728 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(if (<=.f64 rand #s(literal 53999999999999996516727310597009149399668149106823722842190886086008082621007331737301219132749458283028671841737466413201700471261675323916288 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(+.f64 #s(literal -1/3 binary64) a)
a
#s(literal -1/3 binary64)

soundness3.7s (29.4%)

Rules

5658×	`-lowering-.f32`
5658×	`-lowering-.f64`
4588×	`-lowering-.f32`
4588×	`-lowering-.f64`
4498×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	14
1	33	13
2	85	12
3	228	12
4	553	12
5	999	12
6	1613	12
7	2818	12
8	7396	12
9	7835	12
10	7992	12
0	8119	12
0	31	165
1	205	159
2	2136	153
0	8336	153
0	350	3068
1	1106	2843
2	4035	2802
0	8251	2802
0	21	93
1	122	89
2	860	79
0	9037	79
0	28	111
1	193	106
2	1993	105
0	8674	105
0	356	4011
1	1186	3438
2	4421	3380
0	8140	3380
0	676	6088
1	2304	5173
0	8822	5173
0	419	2960
1	1376	2627
2	5049	2586
0	8359	2586
0	33	142
1	212	106
2	2128	104
0	9299	104

Stop Event

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

Compiler

Compiled 1854 to 1161 computations (37.4% saved)

preprocess135.0ms (1.1%)

Compiler: Compiled 856 to 222 computations (74.1% saved)

analyze20.0ms (0.2%)

sample1.2s (10%)

preprocess248.0ms (2%)

explain194.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify139.0ms (1.1%)

localize114.0ms (0.9%)

series25.0ms (0.2%)

rewrite361.0ms (2.9%)

simplify343.0ms (2.7%)

eval179.0ms (1.4%)

prune109.0ms (0.9%)

simplify200.0ms (1.6%)

localize223.0ms (1.8%)

series35.0ms (0.3%)

rewrite428.0ms (3.4%)

simplify304.0ms (2.4%)

eval243.0ms (1.9%)

prune249.0ms (2%)

simplify154.0ms (1.2%)

localize122.0ms (1%)

series18.0ms (0.1%)

rewrite380.0ms (3%)

simplify272.0ms (2.2%)

eval199.0ms (1.6%)

prune231.0ms (1.9%)

simplify166.0ms (1.3%)

localize194.0ms (1.6%)

series15.0ms (0.1%)

rewrite493.0ms (3.9%)

simplify319.0ms (2.6%)

eval247.0ms (2%)

prune288.0ms (2.3%)

regimes98.0ms (0.8%)

regimes29.0ms (0.2%)

regimes41.0ms (0.3%)

regimes44.0ms (0.4%)

regimes37.0ms (0.3%)

regimes38.0ms (0.3%)

regimes29.0ms (0.2%)

regimes62.0ms (0.5%)

regimes43.0ms (0.3%)

regimes20.0ms (0.2%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch23.0ms (0.2%)

bsearch33.0ms (0.3%)

bsearch25.0ms (0.2%)

bsearch28.0ms (0.2%)

bsearch23.0ms (0.2%)

bsearch45.0ms (0.4%)

bsearch64.0ms (0.5%)

bsearch47.0ms (0.4%)

bsearch58.0ms (0.5%)

bsearch22.0ms (0.2%)

simplify18.0ms (0.1%)

soundness3.7s (29.4%)

preprocess135.0ms (1.1%)

end0.0ms (0%)

Profiling