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: 4.0ms (40.1% of total)

ival-div: 2.0ms (20% of total)

ival-sub: 1.0ms (10% of total)

ival-add: 1.0ms (10% of total)

ival-sqrt: 1.0ms (10% of total)

const: 0.0ms (0% of total)

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

sample1.2s (10.8%)

Results

818.0ms	8256×	0	valid
59.0ms	474×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 588.0ms

ival-mult: 220.0ms (37.4% of total)

ival-div: 166.0ms (28.2% of total)

ival-sqrt: 92.0ms (15.6% of total)

ival-sub: 45.0ms (7.7% of total)

ival-add: 44.0ms (7.5% of total)

const: 17.0ms (2.9% of total)

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

Bogosity

preprocess211.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

explain190.0ms (1.7%)

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

53.0ms	482×	0	valid
8.0ms	18×	2	valid
3.0ms	4×	5	exit
2.0ms	8×	1	valid

Compiler

Compiled 196 to 41 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 11.0ms (31.9% of total)

ival-div: 9.0ms (26.1% of total)

ival-sqrt: 5.0ms (14.5% of total)

ival-sub: 3.0ms (8.7% of total)

backward-pass: 3.0ms (8.7% of total)

ival-add: 3.0ms (8.7% of total)

const: 1.0ms (2.9% 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)

simplify144.0ms (1.3%)

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

localize116.0ms (1%)

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

Results

48.0ms	241×	0	valid
25.0ms	2×	5	exit
6.0ms	9×	2	valid
2.0ms	4×	1	valid

Compiler

Compiled 138 to 21 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-sqrt: 26.0ms (46.9% of total)

ival-mult: 9.0ms (16.2% of total)

ival-div: 6.0ms (10.8% of total)

...c/correct-round.rkt:119:19: 6.0ms (10.8% of total)

ival-add: 5.0ms (9% 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)))))))>
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#<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))))>
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#<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
6.0ms	a	@	0	(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
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)))))

rewrite378.0ms (3.4%)

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	862	79
0	9065	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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))))))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))))))
(+.f64 (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 (/.f64 rand #s(literal 3 binary64)) a)) (+.f64 (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 (/.f64 rand #s(literal 3 binary64)) #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 (/.f64 rand #s(literal 3 binary64)) #s(literal -1/3 binary64))) (+.f64 (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 (/.f64 rand #s(literal 3 binary64)) a)) (+.f64 a #s(literal -1/3 binary64))))
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(.f64 (+.f64 (.f64 a a) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 9 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))
(.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))
(.f64 (.f64 #s(literal 9 binary64) (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(.f64 (+.f64 (.f64 (*.f64 a a) #s(literal 9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))
(.f64 (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(.f64 (.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))
(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -3 binary64))
(.f64 (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 9 binary64))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 9 binary64))
(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (.f64 #s(literal 9 binary64) a))) (pow.f64 (+.f64 #s(literal -3 binary64) (.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) #s(literal -3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal -3 binary64) (.f64 #s(literal 9 binary64) a))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal -3 binary64) (.f64 #s(literal 9 binary64) a))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 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 (neg.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -3 binary64))
(pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) (.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 #s(literal -3 binary64) (.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal -3 binary64) (.f64 #s(literal 9 binary64) a)))))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))
(neg.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 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 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (.f64 #s(literal 9 binary64) (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)))) (sqrt.f64 (+.f64 (.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a a) #s(literal 9 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))) (sqrt.f64 (+.f64 (.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(/.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 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 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) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 #s(literal 3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))
(.f64 (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 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) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -3 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 3 binary64))

simplify306.0ms (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	4424	3380
0	8143	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 (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))) a) (+.f64 #s(literal 1 binary64) (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a))))))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))) a) (+.f64 (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a))))))) #s(literal 0 binary64)))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(.f64 (+.f64 (-.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (/.f64 (.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (/.f64 (+.f64 #s(literal -1/3 binary64) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))) a)))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (/.f64 (+.f64 #s(literal -1/3 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/3 binary64))) (/.f64 (+.f64 (.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 a))) #s(literal 0 binary64)) a))) a)))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
(.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))))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.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))))))
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(+ 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)))
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(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
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(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
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(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
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(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
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(+ 1 (* 1/3 (* rand (sqrt -3))))
(+.f64 #s(literal 1 binary64) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
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(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))
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(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.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 (* (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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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt -3)))
(.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (.f64 #s(literal -3/2 binary64) (.f64 rand a)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 a (+.f64 (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (/.f64 (.f64 (.f64 #s(literal -27/8 binary64) rand) a) (sqrt.f64 #s(literal -3 binary64))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
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(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
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(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
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(+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 (.f64 rand (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64)))) #s(literal 1/6 binary64))))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))
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(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
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1
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(* 1/3 (* rand (sqrt -3)))
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(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
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(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
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(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
a
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(* 3 (sqrt -1/3))
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(* 3 (sqrt a))
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(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
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-3
#s(literal -3 binary64)
(- (* 9 a) 3)
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(- (* 9 a) 3)
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(- (* 9 a) 3)
(+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* 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)))
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(* -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)))
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(* 1/3 (sqrt (/ 1 a)))
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(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
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(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))
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(* 3 (sqrt -1/3))
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(+.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 a (+.f64 (*.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 a (+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 a (+.f64 (/.f64 (.f64 a #s(literal 3/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/2 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/2 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -9 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (.f64 a (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(.f64 (+.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/72 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
(.f64 a (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/432 binary64)))))))

eval163.0ms (1.4%)

Compiler: Compiled 28923 to 2720 computations (90.6% saved)

prune121.0ms (1.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	1014	12	1026
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1016	12	1028

Accuracy

100.0%

Counts

1028 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
	85.4%	(-.f64 (+.f64 (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))))) 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))
▶	64.1%	(+.f64 #s(literal -1/3 binary64) a)
▶	99.8%	(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))))
▶	99.3%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
	85.0%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) #s(literal 9 binary64))))))
	99.3%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
	99.7%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) rand))))
	36.5%	(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
	78.6%	(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
▶	97.6%	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))

Compiler

Compiled 362 to 254 computations (29.8% saved)

simplify145.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

2290×	`fma-define`
1708×	`fma-lowering-fma.f32`
1708×	`fma-lowering-fma.f64`
908×	`-lowering-.f32`
908×	`-lowering-.f64`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	27	167
1	73	165
2	190	165
3	608	165
4	1284	165
5	2410	165
6	2718	165
7	3142	165
8	3226	165
9	3280	165
10	3350	161
11	3734	161
12	3737	161
13	3738	161
0	3738	161

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize139.0ms (1.2%)

Localize:

Found 17 expressions of interest:

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

Results

97.0ms

256×

valid

Compiler

Compiled 176 to 28 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-add: 16.0ms (30.1% of total)

ival-mult: 11.0ms (20.7% of total)

...c/correct-round.rkt:119:19: 9.0ms (16.9% of total)

ival-sqrt: 8.0ms (15.1% of total)

ival-div: 7.0ms (13.2% of total)

const: 0.0ms (0% of total)

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

series29.0ms (0.3%)

Counts

18 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
3.0ms	a	@	-inf	(* (+ a -1/3) (+ 1 (/ rand (* 3 (sqrt a)))))
2.0ms	a	@	-inf	(+ (* (sqrt (+ -1/3 a)) (* 1/3 rand)) (+ -1/3 a))
1.0ms	a	@	-inf	(sqrt (+ -1/3 a))
1.0ms	a	@	inf	(* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))

rewrite409.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3476×	`/-lowering-/.f32`
3476×	`/-lowering-/.f64`
2842×	`-lowering-.f32`
2842×	`-lowering-.f64`
1630×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	132
1	182	120
2	2090	118
0	8409	118

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 735

Calls

Call 1

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

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

simplify282.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

4192×	`-lowering-.f32`
4192×	`-lowering-.f64`
2816×	`+-lowering-+.f64`
2816×	`+-lowering-+.f32`
1528×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	465	4488
1	1568	3955
2	6341	3920
0	8062	3920

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
1
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* -1/9 (* (sqrt (/ 1 a)) rand))
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (* 1/3 (* (sqrt a) rand)) 1/3))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
1
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
1
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt -3)))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt -3))
(+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))
(* (sqrt (/ 1 a)) rand)
(+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(* (sqrt (/ 1 a)) rand)
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))

Outputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))))))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(+.f64 (.f64 a (+.f64 (/.f64 (.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 rand (/.f64 a (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 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (+.f64 (.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (+.f64 (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 a (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))))))) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(.f64 a (+.f64 #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 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(.f64 a (+.f64 (+.f64 (.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)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (neg.f64 a))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) a) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1/18 binary64))) a))) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (.f64 (neg.f64 rand) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/216 binary64)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 a)))) (neg.f64 a))) a))) (neg.f64 a))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(.f64 (neg.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 (neg.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 (neg.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 (.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 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 a (+.f64 (/.f64 (.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 a (+.f64 (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 a (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))))))))
(* 1/3 (* (sqrt a) rand))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 a (+.f64 (.f64 (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 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))))) (.f64 rand (+.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(-.f64 #s(literal 0 binary64) (.f64 a (.f64 (neg.f64 rand) (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(.f64 (+.f64 (.f64 (neg.f64 rand) (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64)))) (.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) #s(literal 1/216 binary64))) (neg.f64 a))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(.f64 (+.f64 (.f64 (neg.f64 rand) (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64)))) (.f64 (neg.f64 rand) (+.f64 (.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/1296 binary64))))) (neg.f64 a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (.f64 a (+.f64 (.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 a (-.f64 (/.f64 (*.f64 a #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(.f64 a (+.f64 (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)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))) (neg.f64 a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64)))) (neg.f64 a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(.f64 (+.f64 (.f64 (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 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64))))) (neg.f64 a))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64))))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64))))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64))))
(* 1/3 (* (sqrt a) rand))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(* 1/3 (* (sqrt a) rand))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(.f64 rand (+.f64 (/.f64 a rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(.f64 rand (+.f64 (/.f64 a rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(.f64 rand (+.f64 (/.f64 a rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* 1/3 (* (sqrt a) rand))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(.f64 (neg.f64 rand) (-.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(.f64 (neg.f64 rand) (-.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(.f64 (neg.f64 rand) (-.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(.f64 (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))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 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 (sqrt.f64 a) (.f64 rand #s(literal -1/9 binary64))) (.f64 a (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(/.f64 (+.f64 (.f64 (sqrt.f64 a) (.f64 rand #s(literal -1/9 binary64))) (.f64 a (+.f64 #s(literal -1/3 binary64) (+.f64 a (.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(/.f64 (+.f64 (.f64 (sqrt.f64 a) (.f64 rand #s(literal -1/9 binary64))) (.f64 a (+.f64 #s(literal -1/3 binary64) (+.f64 a (.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))))) 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 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))) (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)))) a)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))) (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)))) a)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))) (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 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))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(.f64 (+.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))) a))) (neg.f64 a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(.f64 (+.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))) a))) (neg.f64 a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(.f64 (+.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))) a))) (neg.f64 a))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ 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 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal -1/3 binary64) a))
(- (+ 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 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal -1/3 binary64) a))
(- (+ 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 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal -1/3 binary64) a))
(* 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 #s(literal -1/3 binary64) a))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(.f64 rand (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal -1/3 binary64) a)))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(.f64 rand (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal -1/3 binary64) a)))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(.f64 rand (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal -1/3 binary64) a)))))
(* 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 #s(literal -1/3 binary64) a))))
(* -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 #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 (/ 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 #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 (/ 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 #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 #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
#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 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.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)))
(* 1/3 (* (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))
(* 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 (+ 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 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 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))) (* 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 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))))) (.f64 a (+.f64 (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (/.f64 (*.f64 #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 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))))) (.f64 a (+.f64 (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (+.f64 (/.f64 (.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 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 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))) (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)))) a)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(.f64 a (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/9 binary64)))) a) (+.f64 #s(literal 1 binary64) (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64)))))))
(* 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 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64)))) (.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/9 binary64)))) a))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(.f64 (+.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)))) a))) (neg.f64 a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(-.f64 #s(literal 0 binary64) (.f64 a (-.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (/.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/18 binary64))) #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)))) a))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(.f64 a (neg.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 (+.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/9 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/18 binary64) (.f64 rand (sqrt.f64 a))) (.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 0 binary64))) a)) a))))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(.f64 (neg.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 (neg.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 (neg.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
#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 (neg.f64 rand) (+.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))) (/.f64 #s(literal -1 binary64) rand)))
(* -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 #s(literal -1/3 binary64) a)))) (/.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 #s(literal -1/3 binary64) a)))) (/.f64 #s(literal -1 binary64) rand)))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64)))))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (.f64 (.f64 rand a) #s(literal -3/2 binary64)) (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 1/3 binary64) (.f64 rand (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 (.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 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (.f64 a (+.f64 (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (.f64 (.f64 a #s(literal -1/6 binary64)) (+.f64 (.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal 1/18 binary64)))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+.f64 (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal 1/54 binary64)))))
(+ 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 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 rand #s(literal 1/54 binary64))) (+.f64 (+.f64 (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 (.f64 rand (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64)))) #s(literal 1/6 binary64)))) #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 (+ (* -1/18 (* (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 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+.f64 (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/54 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (*.f64 rand #s(literal -1/18 binary64)))))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+.f64 (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 rand (sqrt.f64 a)) #s(literal 1/54 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 rand (+.f64 #s(literal 1/27 binary64) (.f64 a #s(literal -1/36 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (.f64 a (*.f64 a a)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt -3)))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (.f64 (.f64 rand a) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (.f64 a (+.f64 (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (/.f64 (.f64 (.f64 #s(literal -27/8 binary64) rand) a) (sqrt.f64 #s(literal -3 binary64))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (.f64 a (+.f64 (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (.f64 (.f64 a #s(literal -1/6 binary64)) (+.f64 (.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal 1/18 binary64))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+.f64 (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal 1/54 binary64))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 rand #s(literal 1/54 binary64))) (+.f64 (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 (.f64 rand (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64)))) #s(literal 1/6 binary64)))))
(* 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)))))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/54 binary64)))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(-.f64 (.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))) (/.f64 (+.f64 (.f64 (.f64 rand (sqrt.f64 a)) #s(literal 1/54 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 rand (+.f64 #s(literal 1/27 binary64) (.f64 a #s(literal -1/36 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (.f64 a (*.f64 a a))))
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt -3))
(*.f64 rand (sqrt.f64 #s(literal -3 binary64)))
(+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))
(+.f64 (.f64 rand (sqrt.f64 #s(literal -3 binary64))) (.f64 (*.f64 rand (/.f64 a (sqrt.f64 #s(literal -3 binary64)))) #s(literal -9/2 binary64)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))
(+.f64 (.f64 rand (sqrt.f64 #s(literal -3 binary64))) (.f64 a (+.f64 (/.f64 (.f64 rand #s(literal -9/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 a (*.f64 #s(literal -81/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))
(+.f64 (.f64 rand (sqrt.f64 #s(literal -3 binary64))) (.f64 a (+.f64 (/.f64 (.f64 rand #s(literal -9/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (.f64 (.f64 a #s(literal -1/2 binary64)) (+.f64 (.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (.f64 a (.f64 rand #s(literal 405/8 binary64))) (sqrt.f64 #s(literal -3 binary64))))))))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(.f64 rand (+.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(+.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 rand (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/18 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(+.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 (.f64 rand (+.f64 #s(literal 1/27 binary64) (.f64 a #s(literal -1/36 binary64)))) #s(literal 1/2 binary64)))) (.f64 rand (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/18 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(.f64 rand (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))
(+.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 rand (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64)) (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(-.f64 (.f64 rand (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/18 binary64) (.f64 rand (sqrt.f64 a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (.f64 rand (+.f64 #s(literal 1/27 binary64) (.f64 a #s(literal -1/36 binary64)))) #s(literal 1/2 binary64)))) (.f64 a (.f64 a a))))

eval232.0ms (2.1%)

Compiler: Compiled 29852 to 2990 computations (90% saved)

prune214.0ms (1.9%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	1382	14	1396
Fresh	6	1	7
Picked	4	1	5
Done	0	0	0
Total	1392	16	1408

Accuracy

100.0%

Counts

1408 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.8%	(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
	17.0%	(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
	31.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
▶	99.8%	(+.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) a) #s(literal -1/3 binary64))
▶	97.7%	(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
	99.3%	(+.f64 (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
	97.7%	(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
✓	64.1%	(+.f64 #s(literal -1/3 binary64) a)
▶	31.7%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
	36.5%	(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
	76.4%	(.f64 rand (+.f64 (/.f64 a rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
	97.6%	(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))))
	97.6%	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
▶	36.0%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
	62.5%	a
▶	1.5%	#s(literal -1/3 binary64)

Compiler

Compiled 327 to 242 computations (26% saved)

simplify146.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

2382×	`fnmadd-define`
1512×	`fnmsub-define`
1510×	`fmsub-define`
1376×	`fma-define`
1326×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	25	109
1	57	108
2	102	108
3	187	108
4	313	108
5	509	108
6	920	108
7	1901	108
8	3736	108
9	4324	108
10	4960	107
11	6037	107
12	7524	107
13	8000	107
0	8004	107

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize153.0ms (1.4%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 rand #s(literal 3 binary64))
✓	accuracy	100.0%	(sqrt.f64 a)
✓	accuracy	100.0%	(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
✓	accuracy	99.5%	(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
✓	accuracy	100.0%	(sqrt.f64 a)
✓	accuracy	99.6%	(*.f64 rand (sqrt.f64 a))
✓	accuracy	99.4%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))
✓	accuracy	49.6%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
✓	accuracy	100.0%	(pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) a)
✓	accuracy	99.6%	(*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))
✓	accuracy	99.5%	(.f64 #s(literal 1/3 binary64) (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))

Results

121.0ms

256×

valid

Compiler

Compiled 125 to 26 computations (79.2% saved)

Precisions

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

ival-mult: 46.0ms (58% of total)

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

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

ival-add: 5.0ms (6.3% of total)

ival-div: 4.0ms (5% of total)

ival-sub: 2.0ms (2.5% of total)

ival-sqrt: 2.0ms (2.5% of total)

const: 1.0ms (1.3% of total)

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

series11.0ms (0.1%)

Counts

15 → 276

Calls

Call 1

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

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

69 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(pow (+ -1/3 a) 1/2)
1.0ms	rand	@	0	(* 1/3 (* rand (sqrt a)))
0.0ms	a	@	0	(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))
0.0ms	a	@	inf	(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))
0.0ms	rand	@	inf	(* 1/3 (* rand (sqrt a)))

rewrite373.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3448×	`/-lowering-/.f32`
3448×	`/-lowering-/.f64`
3122×	`-lowering-.f32`
3122×	`-lowering-.f64`
1806×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	79
1	142	79
2	1090	79
0	8328	79

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 514

Calls

Call 1

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

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

simplify318.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

4290×	`-lowering-.f32`
4290×	`-lowering-.f64`
3906×	`+-lowering-+.f64`
3906×	`+-lowering-+.f32`
1602×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	2789
1	1192	2476
2	4470	2448
0	8384	2448

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

eval157.0ms (1.4%)

Compiler: Compiled 16425 to 1965 computations (88% saved)

prune152.0ms (1.4%)

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	789	22	811
Fresh	7	3	10
Picked	3	2	5
Done	0	1	1
Total	799	28	827

Accuracy

100.0%

Counts

827 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.3%	(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (-.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)))))
	17.0%	(/.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)))))
	36.0%	(/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
	36.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) rand) (sqrt.f64 a)))
	64.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
	99.3%	(+.f64 (+.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) #s(literal -1/3 binary64))
▶	99.8%	(+.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a) #s(literal -1/3 binary64))
	97.7%	(+.f64 (.f64 (.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)
▶	97.7%	(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
✓	64.1%	(+.f64 #s(literal -1/3 binary64) a)
	36.0%	(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
	30.1%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
	7.7%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.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)))
▶	9.0%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
	6.7%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
	11.5%	(.f64 (-.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 1/81 binary64) (.f64 a (.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 a))))))
	17.0%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))))
	9.5%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
	14.1%	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
▶	10.2%	(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
	30.9%	(.f64 (.f64 a (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
	36.5%	(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand))
	36.0%	(*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))
	76.4%	(.f64 rand (+.f64 (/.f64 a rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
	97.6%	(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))))
✓	36.0%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
▶	62.5%	a
✓	1.5%	#s(literal -1/3 binary64)

Compiler

Compiled 808 to 539 computations (33.3% saved)

simplify136.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2218×	`+-lowering-+.f64`
2218×	`+-lowering-+.f32`
2088×	`-lowering-.f32`
2088×	`-lowering-.f64`
1220×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	229
1	117	200
2	313	200
3	833	200
4	3125	200
0	8475	200

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize227.0ms (2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 a)
✓	accuracy	100.0%	(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
✓	accuracy	99.6%	(/.f64 (sqrt.f64 a) #s(literal 3 binary64))
✓	accuracy	99.6%	(*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	99.8%	(.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
✓	accuracy	49.6%	(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
✓	accuracy	16.7%	(.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
✓	accuracy	100.0%	(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
✓	accuracy	100.0%	(+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))
✓	accuracy	99.8%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
✓	accuracy	99.8%	(.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a)
✓	accuracy	99.6%	(*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓	accuracy	99.5%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))

Results

169.0ms	251×	0	valid
3.0ms	4×	1	valid
1.0ms	1×	2	valid

Compiler

Compiled 277 to 42 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

...c/correct-round.rkt:119:19: 33.0ms (37.2% of total)

ival-mult: 22.0ms (24.8% of total)

ival-add: 19.0ms (21.4% of total)

ival-div: 5.0ms (5.6% of total)

ival-sqrt: 5.0ms (5.6% of total)

ival-sub: 4.0ms (4.5% of total)

const: 1.0ms (1.1% of total)

backward-pass: 1.0ms (1.1% of total)

series21.0ms (0.2%)

Counts

21 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(+ (* a (+ 9 (* a -27))) -3)
4.0ms	a	@	inf	(* (* (- 1/729 (* (* a a) (* a (* a (* a a))))) (/ 1 (+ 1/81 (* (* a a) (+ 1/9 (* a a)))))) (/ 1 (- -1/3 a)))
1.0ms	a	@	0	(* (* (- 1/729 (* (* a a) (* a (* a (* a a))))) (/ 1 (+ 1/81 (* (* a a) (+ 1/9 (* a a)))))) (/ 1 (- -1/3 a)))
0.0ms	a	@	-inf	(* (* (- 1/729 (* (* a a) (* a (* a (* a a))))) (/ 1 (+ 1/81 (* (* a a) (+ 1/9 (* a a)))))) (/ 1 (- -1/3 a)))
0.0ms	a	@	-inf	(* (- 1/9 (* a a)) (+ (* a (+ 9 (* a -27))) -3))

rewrite388.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2890×	`/-lowering-/.f32`
2890×	`/-lowering-/.f64`
2672×	`-lowering-.f32`
2672×	`-lowering-.f64`
2172×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	149
1	260	117
2	2263	117
0	8626	117

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 707

Calls

Call 1

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

Outputs
(+.f64 a (+.f64 (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) #s(literal -1/3 binary64)))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))))
(+.f64 (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (+.f64 a (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))) #s(literal -1/3 binary64))
(+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))) a)
(+.f64 (+.f64 (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) #s(literal -1/3 binary64)) a)
(-.f64 (/.f64 (pow.f64 (+.f64 a (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (+.f64 (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) (+.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (+.f64 (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) (+.f64 a #s(literal 1/3 binary64)))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (+.f64 a (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))))) (/.f64 (pow.f64 (+.f64 a (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 a (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))))))
(-.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) rand) (.f64 #s(literal 1/3 binary64) rand))) (-.f64 (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 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 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 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 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a))) (.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (-.f64 #s(literal -1/3 binary64) a)) (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 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 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 (+.f64 (.f64 a (.f64 a a)) (pow.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) rand) (.f64 #s(literal 1/3 binary64) rand))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) rand) (.f64 #s(literal 1/3 binary64) rand))) (.f64 a (-.f64 a (.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))))))) #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 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) rand) (.f64 #s(literal 1/3 binary64) rand))) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) a)) #s(literal -1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.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 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) (.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) (+.f64 a #s(literal -1/3 binary64)) (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (-.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (.f64 a (+.f64 a #s(literal -1/3 binary64)))) (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 a (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 #s(literal -1/3 binary64) (+.f64 a (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))))) (+.f64 #s(literal -1/27 binary64) (pow.f64 (+.f64 a (.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (+.f64 (pow.f64 (+.f64 a (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) #s(literal -1/9 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 a (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 #s(literal -1/3 binary64) (+.f64 a (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))))) (+.f64 #s(literal -1/27 binary64) (pow.f64 (+.f64 a (.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (+.f64 (pow.f64 (+.f64 a (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) #s(literal -1/9 binary64)))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 (+.f64 a (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 a (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 #s(literal -1/3 binary64) (+.f64 a (.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 (+.f64 a (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (.f64 (+.f64 a (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))) (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) rand) (.f64 #s(literal 1/3 binary64) rand))) (.f64 a a))) (.f64 (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) rand) (.f64 #s(literal 1/3 binary64) rand))) (.f64 a a)) #s(literal -1/3 binary64))) (-.f64 (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) a))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) #s(literal -1/9 binary64)) (+.f64 (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 (+.f64 a (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 a (.f64 rand (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 #s(literal -1/3 binary64) (+.f64 a (.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))))))))
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(-.f64 (/.f64 #s(literal 1/531441 binary64) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a)))))))
(-.f64 (/.f64 #s(literal 1/531441 binary64) (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (neg.f64 (.f64 a (.f64 a (.f64 a a))))))) (/.f64 (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (neg.f64 (.f64 a (.f64 a (*.f64 a a))))))))
(fma.f64 a (neg.f64 (.f64 a (.f64 a (.f64 a (.f64 a a))))) #s(literal 1/729 binary64))
(fma.f64 (.f64 a a) (neg.f64 (.f64 a (.f64 a (.f64 a a)))) #s(literal 1/729 binary64))
(fma.f64 (.f64 a (.f64 a a)) (.f64 #s(literal -1 binary64) (.f64 a (*.f64 a a))) #s(literal 1/729 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a)))) #s(literal 1/729 binary64))
(fma.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 0 binary64) (.f64 a a)) #s(literal 1/729 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a (.f64 a (.f64 a a))) #s(literal 1/729 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) a) (.f64 a (.f64 a (.f64 a (.f64 a a)))) #s(literal 1/729 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 a (.f64 a a))) (.f64 a (*.f64 a a)) #s(literal 1/729 binary64))
(fma.f64 (neg.f64 (.f64 a (.f64 a (.f64 a a)))) (.f64 a a) #s(literal 1/729 binary64))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) a) (.f64 a (.f64 a a)) #s(literal 1/729 binary64))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a a)) (.f64 a a) #s(literal 1/729 binary64))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a (.f64 a a))) a #s(literal 1/729 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))) (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (-.f64 #s(literal 1/531441 binary64) (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))))
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(/.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))) (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))))
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(.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))
(.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a)))))))))
(.f64 (-.f64 #s(literal 1/531441 binary64) (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a)))))))
(exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 a)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 6 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 a (*.f64 a a))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 a) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 a) #s(literal 3 binary64)) (.f64 (log.f64 a) #s(literal 3 binary64))))
(pow.f64 a #s(literal 6 binary64))
(pow.f64 (*.f64 a a) #s(literal 3 binary64))
(pow.f64 (.f64 a (.f64 a a)) #s(literal 2 binary64))
(pow.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 3/2 binary64))
(.f64 a (.f64 a (.f64 a (.f64 a (*.f64 a a)))))
(.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))
(.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a)))
(.f64 (.f64 a (.f64 a (.f64 a a))) (*.f64 a a))
(.f64 (.f64 a (.f64 a (.f64 a (*.f64 a a)))) a)
(+.f64 a (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)))
(+.f64 (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)) a)
(-.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)) #s(literal 2 binary64)) (-.f64 (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)) a)) (/.f64 (.f64 a a) (-.f64 (.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) a)))
(-.f64 (/.f64 (.f64 a a) (-.f64 a (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)))) (/.f64 (pow.f64 (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)) #s(literal 2 binary64)) (-.f64 a (.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))))
(fma.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)) a)
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(fma.f64 (/.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand a)
(fma.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) a)
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(/.f64 (+.f64 (.f64 a (.f64 a a)) (pow.f64 (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)) #s(literal 2 binary64)) (.f64 a (-.f64 a (.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))))))
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(fma.f64 (.f64 a #s(literal -27 binary64)) a (.f64 a #s(literal 9 binary64)))
(/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 729 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64)))) (+.f64 (.f64 (.f64 a #s(literal 9 binary64)) (.f64 a #s(literal 9 binary64))) (-.f64 (.f64 (.f64 (.f64 a a) #s(literal -27 binary64)) (.f64 (.f64 a a) #s(literal -27 binary64))) (.f64 (.f64 a #s(literal 9 binary64)) (.f64 (*.f64 a a) #s(literal -27 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 a #s(literal 9 binary64)) (.f64 a #s(literal 9 binary64))) (.f64 (.f64 (.f64 a a) #s(literal -27 binary64)) (.f64 (.f64 a a) #s(literal -27 binary64)))) (-.f64 (.f64 a #s(literal 9 binary64)) (.f64 (*.f64 a a) #s(literal -27 binary64))))
(/.f64 (.f64 a (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64)))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64)))))
(/.f64 (.f64 a (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64)))) (-.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) a) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) a) (-.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 729 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 a #s(literal 9 binary64)) (.f64 a #s(literal 9 binary64))) (-.f64 (.f64 (.f64 (.f64 a a) #s(literal -27 binary64)) (.f64 (.f64 a a) #s(literal -27 binary64))) (.f64 (.f64 a #s(literal 9 binary64)) (.f64 (*.f64 a a) #s(literal -27 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a #s(literal 9 binary64)) (.f64 a #s(literal 9 binary64))) (.f64 (.f64 (.f64 a a) #s(literal -27 binary64)) (.f64 (.f64 a a) #s(literal -27 binary64))))) (neg.f64 (-.f64 (.f64 a #s(literal 9 binary64)) (.f64 (*.f64 a a) #s(literal -27 binary64)))))
(/.f64 (neg.f64 (.f64 a (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))))) (neg.f64 (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(/.f64 (neg.f64 (.f64 a (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))))) (neg.f64 (-.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) a)) (neg.f64 (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) a)) (neg.f64 (-.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))))
(.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))
(.f64 (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) a)
(+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))
(+.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))
(-.f64 (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) (/.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) (-.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(fma.f64 a #s(literal -27 binary64) #s(literal 9 binary64))
(fma.f64 #s(literal -27 binary64) a #s(literal 9 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64)))) (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) (-.f64 #s(literal 81 binary64) (.f64 (*.f64 a a) #s(literal 729 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64)))) (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) (-.f64 #s(literal 81 binary64) (.f64 (*.f64 a a) #s(literal 729 binary64))))))
(/.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64)))))
(/.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) (+.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) (-.f64 #s(literal 81 binary64) (.f64 #s(literal -243 binary64) a))))
(/.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64)))) (neg.f64 (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) (-.f64 #s(literal 81 binary64) (.f64 #s(literal -243 binary64) a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64)))) (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) (.f64 (.f64 a a) #s(literal 729 binary64)))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64))) (neg.f64 (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (.f64 a #s(literal -27 binary64)) #s(literal 9 binary64)))) (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) (-.f64 #s(literal 81 binary64) (.f64 (*.f64 a a) #s(literal 729 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 a a) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))))
(+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (*.f64 a #s(literal 1/9 binary64))))
(+.f64 (.f64 a (.f64 a #s(literal 1/9 binary64))) (.f64 a (.f64 a (*.f64 a a))))
(-.f64 (/.f64 (.f64 (.f64 a (.f64 a #s(literal 1/9 binary64))) (.f64 a (.f64 a #s(literal 1/9 binary64)))) (-.f64 (.f64 a (.f64 a #s(literal 1/9 binary64))) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (.f64 a a)))) (-.f64 (.f64 a (.f64 a #s(literal 1/9 binary64))) (.f64 a (.f64 a (.f64 a a))))))
(-.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (+.f64 (.f64 a a) #s(literal -1/9 binary64)))) (/.f64 (.f64 (.f64 a (.f64 a #s(literal 1/9 binary64))) (.f64 a (.f64 a #s(literal 1/9 binary64)))) (.f64 (.f64 a a) (+.f64 (.f64 a a) #s(literal -1/9 binary64)))))
(fma.f64 a (.f64 a (.f64 a a)) (.f64 a (.f64 a #s(literal 1/9 binary64))))
(fma.f64 a (.f64 a #s(literal 1/9 binary64)) (.f64 a (.f64 a (.f64 a a))))
(fma.f64 #s(literal 1/9 binary64) (.f64 a a) (.f64 a (.f64 a (.f64 a a))))
(fma.f64 (.f64 a a) #s(literal 1/9 binary64) (.f64 a (.f64 a (.f64 a a))))
(fma.f64 (.f64 a a) (.f64 a a) (.f64 a (.f64 a #s(literal 1/9 binary64))))
(fma.f64 (.f64 a (.f64 a a)) a (.f64 a (.f64 a #s(literal 1/9 binary64))))
(fma.f64 (.f64 #s(literal 1/9 binary64) a) a (.f64 a (.f64 a (.f64 a a))))
(/.f64 (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (+.f64 (.f64 (.f64 a (.f64 a #s(literal 1/9 binary64))) (.f64 a (.f64 a #s(literal 1/9 binary64)))) (-.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a (.f64 a #s(literal 1/9 binary64))) (.f64 a (.f64 a (*.f64 a a)))))))
(/.f64 (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (+.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (.f64 a a)))) (-.f64 (.f64 (.f64 a (.f64 a #s(literal 1/9 binary64))) (.f64 a (.f64 a #s(literal 1/9 binary64)))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (*.f64 a #s(literal 1/9 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 a #s(literal 1/9 binary64))) (.f64 a (.f64 a #s(literal 1/9 binary64)))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (.f64 a a))))) (-.f64 (.f64 a (.f64 a #s(literal 1/9 binary64))) (.f64 a (.f64 a (*.f64 a a)))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a (.f64 a #s(literal 1/9 binary64))) (.f64 a (.f64 a #s(literal 1/9 binary64))))) (.f64 (.f64 a a) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))))
(/.f64 (.f64 (.f64 a 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 (.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a))))) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(/.f64 (.f64 (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (.f64 a a)) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 a a)) (-.f64 #s(literal 1/9 binary64) (.f64 a a)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))) (neg.f64 (+.f64 (.f64 (.f64 a (.f64 a #s(literal 1/9 binary64))) (.f64 a (.f64 a #s(literal 1/9 binary64)))) (-.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a (.f64 a #s(literal 1/9 binary64))) (.f64 a (.f64 a (*.f64 a a))))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))) (neg.f64 (+.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (.f64 a a)))) (-.f64 (.f64 (.f64 a (.f64 a #s(literal 1/9 binary64))) (.f64 a (.f64 a #s(literal 1/9 binary64)))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (*.f64 a #s(literal 1/9 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a (.f64 a #s(literal 1/9 binary64))) (.f64 a (.f64 a #s(literal 1/9 binary64)))))) (neg.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a (.f64 a #s(literal 1/9 binary64))) (.f64 a (.f64 a #s(literal 1/9 binary64)))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (.f64 a a)))))) (neg.f64 (-.f64 (.f64 a (.f64 a #s(literal 1/9 binary64))) (.f64 a (.f64 a (*.f64 a a))))))
(/.f64 (neg.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) #s(literal -1/9 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (.f64 a a))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) #s(literal -1/9 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 a a))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a))))
(.f64 a (.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (*.f64 a a))
(.f64 (.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) a)
(exp.f64 (*.f64 (log.f64 a) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal 3/2 binary64)))
(pow.f64 a #s(literal 3 binary64))
(pow.f64 (*.f64 a a) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 3 binary64))
(.f64 a (.f64 a a))
(.f64 (.f64 a a) a)
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))

simplify285.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

4282×	`-lowering-.f32`
4282×	`-lowering-.f64`
3206×	`+-lowering-+.f64`
3206×	`+-lowering-+.f32`
1658×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	3214
1	1272	2822
2	4846	2790
0	8277	2790

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

eval305.0ms (2.7%)

Compiler: Compiled 36168 to 2938 computations (91.9% saved)

prune144.0ms (1.3%)

Pruning

38 alts after pruning (32 fresh and 6 done)

	Pruned	Kept	Total
New	1097	14	1111
Fresh	2	18	20
Picked	2	3	5
Done	0	3	3
Total	1101	38	1139

Accuracy

100.0%

Counts

1139 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.3%	(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) #s(literal -3 binary64)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
	17.0%	(/.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)))))
	2.2%	(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
	3.6%	(/.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))))))
	36.0%	(/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
	36.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) rand) (sqrt.f64 a)))
	64.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
	99.3%	(+.f64 (+.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) #s(literal -1/3 binary64))
✓	99.8%	(+.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a) #s(literal -1/3 binary64))
	9.0%	(+.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) (.f64 a (-.f64 #s(literal 1/9 binary64) (.f64 a a)))))
	97.7%	(+.f64 (.f64 (.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)
✓	97.7%	(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
	9.0%	(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -9 binary64) (.f64 a #s(literal 27 binary64)))))))
	6.7%	(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (*.f64 a a)))))
✓	64.1%	(+.f64 #s(literal -1/3 binary64) a)
	36.0%	(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
	30.1%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
	2.2%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) a) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))) #s(literal -3 binary64)))
	7.7%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.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)))
	6.7%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
	11.5%	(.f64 (-.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 1/81 binary64) (.f64 a (.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 a))))))
	17.0%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))))
	9.0%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal -27 binary64)))
	9.5%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
	30.9%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
	14.1%	(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
	2.3%	(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (*.f64 a a) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
	9.4%	(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
	9.0%	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 27 binary64) (/.f64 #s(literal -9 binary64) a)))
	36.5%	(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand))
	36.0%	(*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))
	76.4%	(.f64 rand (+.f64 (/.f64 a rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
	97.6%	(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))))
	9.0%	(.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a))))
✓	36.0%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
	6.0%	(.f64 #s(literal 1/9 binary64) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
✓	62.5%	a
✓	1.5%	#s(literal -1/3 binary64)

Compiler

Compiled 1693 to 680 computations (59.8% saved)

regimes79.0ms (0.7%)

Counts

64 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 #s(literal 1/9 binary64) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) a)) (/.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)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -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 a (.f64 a (.f64 a a))) (+.f64 #s(literal 27 binary64) (/.f64 #s(literal -9 binary64) a)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -9 binary64) (.f64 a #s(literal 27 binary64)))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (.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 1/9 binary64) (.f64 a a)) (+.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 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) (.f64 a (-.f64 #s(literal 1/9 binary64) (.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (*.f64 a a) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (-.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 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) a) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))) #s(literal -3 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (-.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 1/81 binary64) (.f64 a (.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 a))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) #s(literal -3 binary64)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(/.f64 (sqrt.f64 a) (/.f64 #s(literal 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 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 (.f64 (.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) rand) (sqrt.f64 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))))
(.f64 rand (+.f64 (/.f64 a rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(+.f64 (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) #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))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a) #s(literal -1/3 binary64))
(+.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) a) #s(literal -1/3 binary64))
(.f64 rand (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) rand))))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(-.f64 (+.f64 (.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))))) a) #s(literal 1/3 binary64))
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) #s(literal 9 binary64))))))

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

Calls

4 calls:

19.0ms	a
18.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
18.0ms	rand
18.0ms	(.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)

regimes50.0ms (0.4%)

Counts

54 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 #s(literal 1/9 binary64) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) a)) (/.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)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -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 a (.f64 a (.f64 a a))) (+.f64 #s(literal 27 binary64) (/.f64 #s(literal -9 binary64) a)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -9 binary64) (.f64 a #s(literal 27 binary64)))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (.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 1/9 binary64) (.f64 a a)) (+.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 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) (.f64 a (-.f64 #s(literal 1/9 binary64) (.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (*.f64 a a) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (-.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 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) a) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))) #s(literal -3 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (-.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 1/81 binary64) (.f64 a (.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 a))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) #s(literal -3 binary64)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(/.f64 (sqrt.f64 a) (/.f64 #s(literal 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 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 (.f64 (.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) rand) (sqrt.f64 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))))
(.f64 rand (+.f64 (/.f64 a rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(+.f64 (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) #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))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))

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:

30.0ms	rand
15.0ms	a

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes37.0ms (0.3%)

Counts

53 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 #s(literal 1/9 binary64) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) a)) (/.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)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -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 a (.f64 a (.f64 a a))) (+.f64 #s(literal 27 binary64) (/.f64 #s(literal -9 binary64) a)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -9 binary64) (.f64 a #s(literal 27 binary64)))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (.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 1/9 binary64) (.f64 a a)) (+.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 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) (.f64 a (-.f64 #s(literal 1/9 binary64) (.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (*.f64 a a) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (-.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 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) a) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))) #s(literal -3 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (-.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 1/81 binary64) (.f64 a (.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 a))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) #s(literal -3 binary64)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(/.f64 (sqrt.f64 a) (/.f64 #s(literal 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 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 (.f64 (.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) rand) (sqrt.f64 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))))
(.f64 rand (+.f64 (/.f64 a rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(+.f64 (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) #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))))
(.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:

16.0ms	a
16.0ms	rand

Results

Accuracy	Segments	Branch
99.3%	1	`a`
99.3%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes43.0ms (0.4%)

Counts

51 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 #s(literal 1/9 binary64) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) a)) (/.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)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -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 a (.f64 a (.f64 a a))) (+.f64 #s(literal 27 binary64) (/.f64 #s(literal -9 binary64) a)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -9 binary64) (.f64 a #s(literal 27 binary64)))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (.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 1/9 binary64) (.f64 a a)) (+.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 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) (.f64 a (-.f64 #s(literal 1/9 binary64) (.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (*.f64 a a) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (-.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 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) a) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))) #s(literal -3 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (-.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 1/81 binary64) (.f64 a (.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 a))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) #s(literal -3 binary64)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(/.f64 (sqrt.f64 a) (/.f64 #s(literal 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 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 (.f64 (.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) rand) (sqrt.f64 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))))
(.f64 rand (+.f64 (/.f64 a rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(+.f64 (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) #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))))

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

Calls

2 calls:

22.0ms	rand
16.0ms	a

Results

Accuracy	Segments	Branch
99.3%	1	`a`
99.3%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes34.0ms (0.3%)

Counts

48 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 #s(literal 1/9 binary64) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) a)) (/.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)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -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 a (.f64 a (.f64 a a))) (+.f64 #s(literal 27 binary64) (/.f64 #s(literal -9 binary64) a)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -9 binary64) (.f64 a #s(literal 27 binary64)))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (.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 1/9 binary64) (.f64 a a)) (+.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 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) (.f64 a (-.f64 #s(literal 1/9 binary64) (.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (*.f64 a a) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (-.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 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) a) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))) #s(literal -3 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (-.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 1/81 binary64) (.f64 a (.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 a))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) #s(literal -3 binary64)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(/.f64 (sqrt.f64 a) (/.f64 #s(literal 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 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 (.f64 (.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) rand) (sqrt.f64 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))))
(.f64 rand (+.f64 (/.f64 a rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))

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

Calls

2 calls:

15.0ms	rand
13.0ms	a

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes34.0ms (0.3%)

Counts

43 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 #s(literal 1/9 binary64) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) a)) (/.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)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -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 a (.f64 a (.f64 a a))) (+.f64 #s(literal 27 binary64) (/.f64 #s(literal -9 binary64) a)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -9 binary64) (.f64 a #s(literal 27 binary64)))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (.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 1/9 binary64) (.f64 a a)) (+.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 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) (.f64 a (-.f64 #s(literal 1/9 binary64) (.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (*.f64 a a) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (-.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 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) a) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))) #s(literal -3 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (-.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 1/81 binary64) (.f64 a (.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 a))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) #s(literal -3 binary64)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(/.f64 (sqrt.f64 a) (/.f64 #s(literal 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 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 (.f64 (.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)

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

Calls

2 calls:

14.0ms	a
12.0ms	rand

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes32.0ms (0.3%)

Counts

41 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 #s(literal 1/9 binary64) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) a)) (/.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)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -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 a (.f64 a (.f64 a a))) (+.f64 #s(literal 27 binary64) (/.f64 #s(literal -9 binary64) a)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -9 binary64) (.f64 a #s(literal 27 binary64)))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (.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 1/9 binary64) (.f64 a a)) (+.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 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) (.f64 a (-.f64 #s(literal 1/9 binary64) (.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (*.f64 a a) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (-.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 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) a) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))) #s(literal -3 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (-.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 1/81 binary64) (.f64 a (.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 a))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) #s(literal -3 binary64)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(/.f64 (sqrt.f64 a) (/.f64 #s(literal 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 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))

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

Calls

2 calls:

14.0ms	a
12.0ms	rand

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes35.0ms (0.3%)

Counts

40 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 #s(literal 1/9 binary64) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) a)) (/.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)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -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 a (.f64 a (.f64 a a))) (+.f64 #s(literal 27 binary64) (/.f64 #s(literal -9 binary64) a)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -9 binary64) (.f64 a #s(literal 27 binary64)))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (.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 1/9 binary64) (.f64 a a)) (+.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 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) (.f64 a (-.f64 #s(literal 1/9 binary64) (.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (*.f64 a a) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (-.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 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) a) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))) #s(literal -3 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (-.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 1/81 binary64) (.f64 a (.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 a))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) #s(literal -3 binary64)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(/.f64 (sqrt.f64 a) (/.f64 #s(literal 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

2 calls:

14.0ms	rand
11.0ms	a

Results

Accuracy	Segments	Branch
68.3%	3	`a`
92.6%	3	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts

38 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 #s(literal 1/9 binary64) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) a)) (/.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)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -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 a (.f64 a (.f64 a a))) (+.f64 #s(literal 27 binary64) (/.f64 #s(literal -9 binary64) a)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -9 binary64) (.f64 a #s(literal 27 binary64)))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (.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 1/9 binary64) (.f64 a a)) (+.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 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) (.f64 a (-.f64 #s(literal 1/9 binary64) (.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (*.f64 a a) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (-.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 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) a) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))) #s(literal -3 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (-.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 1/81 binary64) (.f64 a (.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 a))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) #s(literal -3 binary64)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))

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

Calls

1 calls:

11.0ms

rand

Results

Accuracy	Segments	Branch
92.2%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts

37 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 #s(literal 1/9 binary64) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) a)) (/.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)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -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 a (.f64 a (.f64 a a))) (+.f64 #s(literal 27 binary64) (/.f64 #s(literal -9 binary64) a)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -9 binary64) (.f64 a #s(literal 27 binary64)))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (.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 1/9 binary64) (.f64 a a)) (+.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 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) (.f64 a (-.f64 #s(literal 1/9 binary64) (.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (*.f64 a a) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (-.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 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) a) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))) #s(literal -3 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (-.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 1/81 binary64) (.f64 a (.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 a))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) #s(literal -3 binary64)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))

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

Calls

1 calls:

11.0ms

rand

Results

Accuracy	Segments	Branch
92.2%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.2%)

Counts

36 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 #s(literal 1/9 binary64) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) a)) (/.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)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -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 a (.f64 a (.f64 a a))) (+.f64 #s(literal 27 binary64) (/.f64 #s(literal -9 binary64) a)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -9 binary64) (.f64 a #s(literal 27 binary64)))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (.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 1/9 binary64) (.f64 a a)) (+.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 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) (.f64 a (-.f64 #s(literal 1/9 binary64) (.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (*.f64 a a) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (-.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 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) a) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))) #s(literal -3 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (-.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 1/81 binary64) (.f64 a (.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 a))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) #s(literal -3 binary64)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))

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

Calls

1 calls:

16.0ms

rand

Results

Accuracy	Segments	Branch
92.2%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.2%)

Counts

35 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 #s(literal 1/9 binary64) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) a)) (/.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)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -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 a (.f64 a (.f64 a a))) (+.f64 #s(literal 27 binary64) (/.f64 #s(literal -9 binary64) a)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -9 binary64) (.f64 a #s(literal 27 binary64)))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (.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 1/9 binary64) (.f64 a a)) (+.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 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) (.f64 a (-.f64 #s(literal 1/9 binary64) (.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (*.f64 a a) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (-.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 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) a) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))) #s(literal -3 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (-.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 1/81 binary64) (.f64 a (.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 a))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) #s(literal -3 binary64)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.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:

15.0ms

rand

Results

Accuracy	Segments	Branch
92.2%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

34 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 #s(literal 1/9 binary64) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) a)) (/.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)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -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 a (.f64 a (.f64 a a))) (+.f64 #s(literal 27 binary64) (/.f64 #s(literal -9 binary64) a)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -9 binary64) (.f64 a #s(literal 27 binary64)))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (.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 1/9 binary64) (.f64 a a)) (+.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 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))) (.f64 a (-.f64 #s(literal 1/9 binary64) (.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (*.f64 a a) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (-.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 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -19683 binary64))) a) (+.f64 #s(literal 81 binary64) (.f64 (.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))) #s(literal -3 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(.f64 (-.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 1/81 binary64) (.f64 a (.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 a))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64))))) (+.f64 #s(literal 1/9 binary64) (.f64 a a))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 a (.f64 a (.f64 a a)))) #s(literal -3 binary64)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/9 binary64) (.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal 1/531441 binary64) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))))))

Outputs

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

(*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a (*.f64 a a))))

Calls

1 calls:

10.0ms

rand

Results

Accuracy	Segments	Branch
75.1%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

21 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 #s(literal 1/9 binary64) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) a)) (/.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)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -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 a (.f64 a (.f64 a a))) (+.f64 #s(literal 27 binary64) (/.f64 #s(literal -9 binary64) a)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -9 binary64) (.f64 a #s(literal 27 binary64)))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (.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 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) (*.f64 a a)))))

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

(*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a (*.f64 a a))))

Calls

1 calls:

10.0ms

rand

Results

Accuracy	Segments	Branch
74.0%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts

14 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 #s(literal 1/9 binary64) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) a)) (/.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)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal -27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))

Outputs

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

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

(*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a (*.f64 a a))))

Calls

1 calls:

5.0ms

rand

Results

Accuracy	Segments	Branch
74.0%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

12 → 3

Calls

Call 1

Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(.f64 #s(literal 1/9 binary64) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) a)) (/.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)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal -27 binary64)))

Outputs

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

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

(*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a (*.f64 a a))))

Calls

1 calls:

4.0ms

rand

Results

Accuracy	Segments	Branch
73.3%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes36.0ms (0.3%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

35.0ms

rand

Results

Accuracy	Segments	Branch
68.0%	2	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

rand

Results

Accuracy	Segments	Branch
67.8%	2	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	a
2.0ms	rand

Results

Accuracy	Segments	Branch
64.1%	1	`a`
64.1%	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	a
2.0ms	rand

Results

Accuracy	Segments	Branch
62.5%	1	`a`
62.5%	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
1.5%	1	`a`
1.5%	1	`rand`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch146.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.419986679642343e+98	1.9050486379439887e+100
129.0ms	-3.7253767960700615e+80	-7.21975296564959e+74

Results

133.0ms

256×

valid

Compiler

Compiled 299 to 241 computations (19.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-mult: 117.0ms (93.1% of total)

ival-div: 4.0ms (3.2% of total)

ival-sqrt: 2.0ms (1.6% of total)

ival-sub: 1.0ms (0.8% of total)

ival-add: 1.0ms (0.8% of total)

const: 0.0ms (0% of total)

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

bsearch57.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.419986679642343e+98	1.9050486379439887e+100
33.0ms	-3.7253767960700615e+80	-7.21975296564959e+74

Results

21.0ms

256×

valid

Compiler

Compiled 267 to 209 computations (21.7% saved)

Precisions

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

ival-mult: 5.0ms (35.5% of total)

ival-div: 4.0ms (28.4% of total)

ival-sqrt: 2.0ms (14.2% of total)

ival-sub: 1.0ms (7.1% of total)

ival-add: 1.0ms (7.1% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	7.419986679642343e+98	1.9050486379439887e+100
17.0ms	-3.7253767960700615e+80	-7.21975296564959e+74

Results

22.0ms

256×

valid

Compiler

Compiled 267 to 209 computations (21.7% saved)

Precisions

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

ival-mult: 5.0ms (34.8% of total)

ival-div: 4.0ms (27.8% of total)

ival-sqrt: 2.0ms (13.9% of total)

ival-sub: 1.0ms (7% of total)

ival-add: 1.0ms (7% of total)

const: 1.0ms (7% of total)

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

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	7.419986679642343e+98	1.9050486379439887e+100
19.0ms	-3.7253767960700615e+80	-7.21975296564959e+74

Results

25.0ms

256×

valid

Compiler

Compiled 267 to 209 computations (21.7% saved)

Precisions

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

ival-mult: 6.0ms (38.3% of total)

ival-div: 4.0ms (25.5% of total)

ival-sqrt: 2.0ms (12.8% of total)

ival-sub: 1.0ms (6.4% of total)

ival-add: 1.0ms (6.4% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	7.419986679642343e+98	1.9050486379439887e+100
20.0ms	-3.7253767960700615e+80	-7.21975296564959e+74

Results

24.0ms

256×

valid

Compiler

Compiled 267 to 209 computations (21.7% saved)

Precisions

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

ival-div: 6.0ms (35.6% of total)

ival-mult: 5.0ms (29.7% of total)

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

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

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

const: 1.0ms (5.9% of total)

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

bsearch39.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.273696765994788e+144	5.371433016506188e+151
17.0ms	-6.735988643070809e+110	-4.549845442751513e+107

Results

24.0ms

272×

valid

Compiler

Compiled 413 to 310 computations (24.9% saved)

Precisions

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

ival-mult: 5.0ms (31.3% of total)

ival-div: 4.0ms (25% of total)

ival-add: 3.0ms (18.8% of total)

ival-sqrt: 2.0ms (12.5% of total)

ival-sub: 1.0ms (6.3% of total)

const: 1.0ms (6.3% of total)

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

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	6.273696765994788e+144	5.371433016506188e+151
15.0ms	-6.735988643070809e+110	-4.549845442751513e+107

Results

24.0ms

272×

valid

Compiler

Compiled 349 to 262 computations (24.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 5.0ms (34% of total)

ival-div: 4.0ms (27.2% of total)

ival-sqrt: 2.0ms (13.6% of total)

ival-sub: 1.0ms (6.8% of total)

ival-add: 1.0ms (6.8% of total)

const: 1.0ms (6.8% of total)

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

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	6.273696765994788e+144	5.371433016506188e+151
16.0ms	-6.735988643070809e+110	-4.549845442751513e+107

Results

24.0ms

272×

valid

Compiler

Compiled 349 to 262 computations (24.9% saved)

Precisions

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

ival-div: 5.0ms (31.3% of total)

ival-mult: 5.0ms (31.3% of total)

ival-sqrt: 2.0ms (12.5% of total)

ival-sub: 1.0ms (6.3% of total)

ival-add: 1.0ms (6.3% of total)

const: 1.0ms (6.3% of total)

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

bsearch39.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.273696765994788e+144	5.371433016506188e+151
16.0ms	-6.735988643070809e+110	-4.549845442751513e+107

Results

24.0ms

272×

valid

Compiler

Compiled 349 to 270 computations (22.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 5.0ms (33.9% of total)

ival-div: 4.0ms (27.1% of total)

ival-sqrt: 2.0ms (13.6% of total)

ival-sub: 1.0ms (6.8% of total)

ival-add: 1.0ms (6.8% of total)

const: 1.0ms (6.8% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	6.273696765994788e+144	5.371433016506188e+151

Results

12.0ms

144×

valid

Compiler

Compiled 189 to 134 computations (29.1% saved)

Precisions

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

ival-mult: 3.0ms (38% of total)

ival-div: 2.0ms (25.4% of total)

ival-sub: 1.0ms (12.7% of total)

ival-add: 1.0ms (12.7% of total)

ival-sqrt: 1.0ms (12.7% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.273696765994788e+144	5.371433016506188e+151

Results

12.0ms

144×

valid

Compiler

Compiled 171 to 134 computations (21.6% saved)

Precisions

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

ival-mult: 3.0ms (38.2% of total)

ival-div: 2.0ms (25.5% of total)

ival-sub: 1.0ms (12.7% of total)

ival-add: 1.0ms (12.7% of total)

ival-sqrt: 1.0ms (12.7% of total)

const: 0.0ms (0% of total)

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

simplify184.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

54×	`*-commutative_binary64`
40×	`+-commutative_binary64`
6×	`sub-neg_binary64`
6×	`if-if-or-not_binary32`
4×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	339
1	182	339
2	189	339
3	193	339
4	195	339

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a) #s(literal -1/3 binary64))
(+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
(+.f64 (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -1000000000000000008493621433689702976148869924598760615894999102702796905906176 binary64)) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 750000000000000036210529485141551921620334477589882437263685054982831923560433701297313814004367360 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 -14999999999999999098963973179591768295377309770637343624215070519554538995712 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) (if (<=.f64 rand #s(literal 1800000000000000086905270764339724611888802746215717849432844131958796616545040883113553153610481664 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))))
(if (<=.f64 rand #s(literal -5600000000000000212114735760782940881930589833488109947285581538493649007935488 binary64)) (.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) (if (<=.f64 rand #s(literal 950000000000000005394402093143276789896967279457207198817191922725347077097124152082758222630354944 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -124999999999999990160234986958222842741937906132397981476249778015383018553737216 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 1150000000000000095995080465253068590639969257794463625521126231226582308872090211549720456581873664 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))))
(if (<=.f64 rand #s(literal -249999999999999980320469973916445685483875812264795962952499556030766037107474432 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 4499999999999999974429565382633177664789268512599431293281255448379551384886050990420847233375141888 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -649999999999999965257892729814336235478875078438095525033555907790333788869217442855626262051329290507330256896 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.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))) (if (<=.f64 rand #s(literal 569999999999999965454031278682079573773654651637134345568619719450000104807665318925713149425813548517531026154404442376341256225138007410618469974016 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 rand #s(literal -649999999999999965257892729814336235478875078438095525033555907790333788869217442855626262051329290507330256896 binary64)) (+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 a a))))) (if (<=.f64 rand #s(literal 339999999999999990744261413686282949153855044567478797263246375049027131228789615831797219808308176004137591354633276357074691968990303803880243200 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 rand #s(literal -649999999999999965257892729814336235478875078438095525033555907790333788869217442855626262051329290507330256896 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 84999999999999995645380458548651000638750921612560093586593906285655783481724432625588022407136585443613234946011589609588741724654547084845080641536 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 rand #s(literal -649999999999999965257892729814336235478875078438095525033555907790333788869217442855626262051329290507330256896 binary64)) (.f64 #s(literal 1/9 binary64) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 18000000000000000313738324996766487190640861151049847533628449705655794149766707501027723687858848749689276794139399387371241787640475023333933449216 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 rand #s(literal 13500000000000000740683794234364031478057356035415538442987595882142684401798684743559047782241130125009172545018278719496122145087308111911227781808128 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a)))))
(if (<=.f64 rand #s(literal 14999999999999999530824261512658896221265848238453648307957131980481986612682628949484652000893836447892768225551748691417875083401581575839850195582976 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) a)
a
#s(literal -1/3 binary64)

Outputs
(+.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(+.f64 (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand)))
(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 a #s(literal 9 binary64))))))
(+.f64 (.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a)))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(+.f64 a (*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64))))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 a (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))))
(+.f64 a (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -1000000000000000008493621433689702976148869924598760615894999102702796905906176 binary64)) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 750000000000000036210529485141551921620334477589882437263685054982831923560433701297313814004367360 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 -1000000000000000008493621433689702976148869924598760615894999102702796905906176 binary64)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 750000000000000036210529485141551921620334477589882437263685054982831923560433701297313814004367360 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand))))
(if (<=.f64 rand #s(literal -14999999999999999098963973179591768295377309770637343624215070519554538995712 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) (if (<=.f64 rand #s(literal 1800000000000000086905270764339724611888802746215717849432844131958796616545040883113553153610481664 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))))
(if (<=.f64 rand #s(literal -14999999999999999098963973179591768295377309770637343624215070519554538995712 binary64)) (*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64))) (if (<=.f64 rand #s(literal 1800000000000000086905270764339724611888802746215717849432844131958796616545040883113553153610481664 binary64)) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))))
(if (<=.f64 rand #s(literal -5600000000000000212114735760782940881930589833488109947285581538493649007935488 binary64)) (.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) (if (<=.f64 rand #s(literal 950000000000000005394402093143276789896967279457207198817191922725347077097124152082758222630354944 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -5600000000000000212114735760782940881930589833488109947285581538493649007935488 binary64)) (.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64))) (if (<=.f64 rand #s(literal 950000000000000005394402093143276789896967279457207198817191922725347077097124152082758222630354944 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))))
(if (<=.f64 rand #s(literal -124999999999999990160234986958222842741937906132397981476249778015383018553737216 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 1150000000000000095995080465253068590639969257794463625521126231226582308872090211549720456581873664 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))))
(if (<=.f64 rand #s(literal -124999999999999990160234986958222842741937906132397981476249778015383018553737216 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 1150000000000000095995080465253068590639969257794463625521126231226582308872090211549720456581873664 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))))
(if (<=.f64 rand #s(literal -249999999999999980320469973916445685483875812264795962952499556030766037107474432 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 4499999999999999974429565382633177664789268512599431293281255448379551384886050990420847233375141888 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -249999999999999980320469973916445685483875812264795962952499556030766037107474432 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 4499999999999999974429565382633177664789268512599431293281255448379551384886050990420847233375141888 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -649999999999999965257892729814336235478875078438095525033555907790333788869217442855626262051329290507330256896 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.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))) (if (<=.f64 rand #s(literal 569999999999999965454031278682079573773654651637134345568619719450000104807665318925713149425813548517531026154404442376341256225138007410618469974016 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 rand #s(literal -649999999999999965257892729814336235478875078438095525033555907790333788869217442855626262051329290507330256896 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.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))) (if (<=.f64 rand #s(literal 569999999999999965454031278682079573773654651637134345568619719450000104807665318925713149425813548517531026154404442376341256225138007410618469974016 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 rand #s(literal -649999999999999965257892729814336235478875078438095525033555907790333788869217442855626262051329290507330256896 binary64)) (+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 a a))))) (if (<=.f64 rand #s(literal 339999999999999990744261413686282949153855044567478797263246375049027131228789615831797219808308176004137591354633276357074691968990303803880243200 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 rand #s(literal -649999999999999965257892729814336235478875078438095525033555907790333788869217442855626262051329290507330256896 binary64)) (+.f64 #s(literal -1/3 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal -9 binary64))))) (if (<=.f64 rand #s(literal 339999999999999990744261413686282949153855044567478797263246375049027131228789615831797219808308176004137591354633276357074691968990303803880243200 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 rand #s(literal -649999999999999965257892729814336235478875078438095525033555907790333788869217442855626262051329290507330256896 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 84999999999999995645380458548651000638750921612560093586593906285655783481724432625588022407136585443613234946011589609588741724654547084845080641536 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 rand #s(literal -649999999999999965257892729814336235478875078438095525033555907790333788869217442855626262051329290507330256896 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (+.f64 (.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 84999999999999995645380458548651000638750921612560093586593906285655783481724432625588022407136585443613234946011589609588741724654547084845080641536 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 rand #s(literal -649999999999999965257892729814336235478875078438095525033555907790333788869217442855626262051329290507330256896 binary64)) (.f64 #s(literal 1/9 binary64) (+.f64 (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 18000000000000000313738324996766487190640861151049847533628449705655794149766707501027723687858848749689276794139399387371241787640475023333933449216 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 rand #s(literal -649999999999999965257892729814336235478875078438095525033555907790333788869217442855626262051329290507330256896 binary64)) (.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -3 binary64) (.f64 a (+.f64 #s(literal 9 binary64) (.f64 a #s(literal -27 binary64)))))) (if (<=.f64 rand #s(literal 18000000000000000313738324996766487190640861151049847533628449705655794149766707501027723687858848749689276794139399387371241787640475023333933449216 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 rand #s(literal 13500000000000000740683794234364031478057356035415538442987595882142684401798684743559047782241130125009172545018278719496122145087308111911227781808128 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a)))))
(if (<=.f64 rand #s(literal 13500000000000000740683794234364031478057356035415538442987595882142684401798684743559047782241130125009172545018278719496122145087308111911227781808128 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 #s(literal 27 binary64) (.f64 a (.f64 a (.f64 a a)))))
(if (<=.f64 rand #s(literal 14999999999999999530824261512658896221265848238453648307957131980481986612682628949484652000893836447892768225551748691417875083401581575839850195582976 binary64)) (+.f64 #s(literal -1/3 binary64) a) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64)))
(if (<=.f64 rand #s(literal 14999999999999999530824261512658896221265848238453648307957131980481986612682628949484652000893836447892768225551748691417875083401581575839850195582976 binary64)) (+.f64 a #s(literal -1/3 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) a)
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)

soundness2.7s (24.2%)

Rules

4588×	`-lowering-.f32`
4588×	`-lowering-.f64`
4290×	`-lowering-.f32`
4290×	`-lowering-.f64`
4282×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	465	4488
1	1568	3955
2	6341	3920
0	8062	3920
0	382	3214
1	1272	2822
2	4846	2790
0	8277	2790
0	27	132
1	182	120
2	2090	118
0	8409	118
0	356	4011
1	1186	3438
2	4424	3380
0	8143	3380
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	25	79
1	142	79
2	1090	79
0	8328	79
0	356	2789
1	1192	2476
2	4470	2448
0	8384	2448

Stop Event

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

Compiler

Compiled 1766 to 1141 computations (35.4% saved)

preprocess187.0ms (1.7%)

Compiler: Compiled 760 to 264 computations (65.3% saved)

analyze20.0ms (0.2%)

sample1.2s (10.8%)

preprocess211.0ms (1.9%)

explain190.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify144.0ms (1.3%)

localize116.0ms (1%)

series25.0ms (0.2%)

rewrite378.0ms (3.4%)

simplify306.0ms (2.7%)

eval163.0ms (1.4%)

prune121.0ms (1.1%)

simplify145.0ms (1.3%)

localize139.0ms (1.2%)

series29.0ms (0.3%)

rewrite409.0ms (3.6%)

simplify282.0ms (2.5%)

eval232.0ms (2.1%)

prune214.0ms (1.9%)

simplify146.0ms (1.3%)

localize153.0ms (1.4%)

series11.0ms (0.1%)

rewrite373.0ms (3.3%)

simplify318.0ms (2.8%)

eval157.0ms (1.4%)

prune152.0ms (1.4%)

simplify136.0ms (1.2%)

localize227.0ms (2%)

series21.0ms (0.2%)

rewrite388.0ms (3.4%)

simplify285.0ms (2.5%)

eval305.0ms (2.7%)

prune144.0ms (1.3%)

regimes79.0ms (0.7%)

regimes50.0ms (0.4%)

regimes37.0ms (0.3%)

regimes43.0ms (0.4%)

regimes34.0ms (0.3%)

regimes34.0ms (0.3%)

regimes32.0ms (0.3%)

regimes35.0ms (0.3%)

regimes18.0ms (0.2%)

regimes15.0ms (0.1%)

regimes20.0ms (0.2%)

regimes20.0ms (0.2%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes36.0ms (0.3%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch146.0ms (1.3%)

bsearch57.0ms (0.5%)

bsearch37.0ms (0.3%)

bsearch37.0ms (0.3%)

bsearch38.0ms (0.3%)

bsearch39.0ms (0.3%)

bsearch37.0ms (0.3%)

bsearch38.0ms (0.3%)

bsearch39.0ms (0.3%)

bsearch20.0ms (0.2%)

bsearch19.0ms (0.2%)

simplify184.0ms (1.6%)

soundness2.7s (24.2%)

preprocess187.0ms (1.7%)

end0.0ms (0%)

Profiling