Octave 3.8, oct_fill_randg

Time bar (total: 12.4s)

analyze16.0ms (0.1%)

Memory
-5.2MiB live, 31.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%50%0.1%0%50%0%2
0%0%50%0.1%0%50%0%3
50%25%25%0.1%0%50%0%4
50%25%25%0.1%0%50%0%5
66.7%25%12.5%0.1%0%62.4%0%6
66.7%25%12.5%0.1%0%62.4%0%7
80%25%6.2%0.1%0%68.7%0%8
80%25%6.2%0.1%0%68.7%0%9
88.9%25%3.1%0.1%0%71.8%0%10
88.9%25%3.1%0.1%0%71.8%0%11
94.1%25%1.6%0.1%0%73.4%0%12
Compiler

Compiled 22 to 15 computations (31.8% saved)

sample1.2s (9.8%)

Memory
58.0MiB live, 2 068.6MiB allocated
Samples
874.0ms8 256×0valid
42.0ms487×0invalid
Precisions
Click to see histograms. Total time spent on operations: 652.0ms
ival-div: 214.0ms (32.8% of total)
ival-mult: 213.0ms (32.7% of total)
ival-sqrt: 101.0ms (15.5% of total)
ival-add: 59.0ms (9.1% of total)
ival-sub: 43.0ms (6.6% of total)
exact: 11.0ms (1.7% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess225.0ms (1.8%)

Memory
-14.9MiB live, 221.8MiB allocated
Algorithm
2×egg-herbie
Rules
2 560×accelerator-lowering-fma.f32
2 560×accelerator-lowering-fma.f64
1 346×unsub-neg
1 036×div-sub
864×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035104
110490
236884
3129984
4361984
5595784
6716684
7773484
01416
13114
27814
317614
437314
559714
683314
7141014
8246514
9291114
10306814
11322014
12330514
13331114
0331113
Stop Event
1×iter limit
1×saturated
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)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal 0 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) (+ 1 (/ rand (sqrt (+ -3 (* a 9))))))
(* (- (neg a) (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- (neg a) (/ 1 3))))) rand)))
(* (- -1/3 a) (+ 1 (/ rand (sqrt (+ -3 (* a -9))))))
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand))))
(* (+ a -1/3) (- 1 (/ rand (sqrt (+ -3 (* a 9))))))
(neg (* (- (neg a) (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- (neg a) (/ 1 3))))) rand))))
(* (- -1/3 a) (- -1 (/ rand (sqrt (+ -3 (* a -9))))))
(neg (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand)))))
(* (+ a -1/3) (+ (/ rand (sqrt (+ -3 (* a 9)))) -1))
(* (- rand (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- rand (/ 1 3))))) a)))
(* (+ rand -1/3) (+ 1 (/ a (sqrt (* 9 (+ rand -1/3))))))

explain199.0ms (1.6%)

Memory
-19.7MiB live, 324.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
00-0-a
00-0-rand
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-#s(literal 9 binary64)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
00-0-(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
00-0-(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
00-0-(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
42.0ms472×0valid
4.0ms18×2valid
3.0ms20×1valid
1.0ms2×5exit
Compiler

Compiled 216 to 56 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 10.0ms (33.5% of total)
ival-div: 8.0ms (26.8% of total)
ival-sqrt: 4.0ms (13.4% of total)
ival-sub: 3.0ms (10.1% of total)
ival-add: 3.0ms (10.1% of total)
adjust: 1.0ms (3.4% of total)
exact: 1.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Compiler

Compiled 22 to 13 computations (40.9% saved)

simplify162.0ms (1.3%)

Memory
-5.5MiB live, 149.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
✓cost-diff128
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
✓cost-diff320
(*.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-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
Rules
2 560×accelerator-lowering-fma.f32
2 560×accelerator-lowering-fma.f64
768×*-lowering-*.f32
768×*-lowering-*.f64
610×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01466
13160
27860
317660
437360
559760
683360
7141060
8246560
9291160
10306860
11322060
12330560
13331160
0331154
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (- 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 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal 0 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 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
(/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(sqrt (* 9 (- a (/ 1 3))))
(sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
(* 9 (- a (/ 1 3)))
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
9
#s(literal 9 binary64)
rand

localize76.0ms (0.6%)

Memory
9.3MiB live, 90.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
✓accuracy99.7%
(*.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)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
Samples
49.0ms236×0valid
2.0ms9×2valid
2.0ms10×1valid
0.0ms1×5exit
Compiler

Compiled 86 to 15 computations (82.6% 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)
adjust: 1.0ms (6.8% of total)
ival-sub: 1.0ms (6.8% of total)
ival-add: 1.0ms (6.8% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
-9.4MiB live, 29.3MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (/ 1 3)>
#<alt (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)>
#<alt (* 9 (- a (/ 1 3)))>
#<alt (- a (/ 1 3))>
#<alt (/ 1 (sqrt (* 9 (- a (/ 1 3)))))>
#<alt (sqrt (* 9 (- a (/ 1 3))))>
Outputs
#<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 -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>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* 1/3 (sqrt -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

18 calls:

TimeVariablePointExpression
15.0ms
rand
@0
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
2.0ms
a
@-inf
(sqrt (* 9 (- a (/ 1 3))))
1.0ms
a
@-inf
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
1.0ms
a
@inf
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
1.0ms
a
@0
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)

rewrite408.0ms (3.3%)

Memory
22.3MiB live, 725.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 006×/-lowering-/.f32
5 006×/-lowering-/.f64
3 828×*-lowering-*.f32
3 828×*-lowering-*.f64
2 518×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
14829
224729
3164429
0840126
Stop Event
1×iter limit
1×node limit
Counts
6 → 553
Calls
Call 1
Inputs
(/ 1 3)
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
(* 9 (- a (/ 1 3)))
(- a (/ 1 3))
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
(sqrt (* 9 (- a (/ 1 3))))
Outputs
#s(literal 1/3 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) rand)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))) (/.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))
(neg.f64 (/.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) rand))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) rand))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) (*.f64 rand (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand #s(literal -1/3 binary64))))
(/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(/.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) rand)))
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(*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a))))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(*.f64 (pow.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 a a) (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) a))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a))))
(*.f64 (pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 a #s(literal -1/3 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 a a) (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))) (sqrt.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64)))) (sqrt.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) a))))

simplify582.0ms (4.7%)

Memory
11.4MiB live, 931.0MiB allocated
Algorithm
1×egg-herbie
Rules
14 984×accelerator-lowering-fma.f32
14 984×accelerator-lowering-fma.f64
7 410×*-lowering-*.f32
7 410×*-lowering-*.f64
3 292×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02491168
17061024
22175992
35019992
08565926
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* 1/3 (* rand (sqrt -3)))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(* 1/3 (* (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)))))
-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
(- 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 -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 (* 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))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 rand a)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 (*.f64 #s(literal -27/8 binary64) rand) (/.f64 a (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (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))))))))
(fma.f64 a (fma.f64 a (fma.f64 rand (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -135/16 binary64) a) rand) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (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 (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 rand (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) #s(literal 1/6 binary64))))))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(fma.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -9 binary64))) #s(literal 0 binary64))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(fma.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (fma.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))) #s(literal 0 binary64))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(fma.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64)))) #s(literal -1/2 binary64))) (*.f64 a (*.f64 a a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
-3
#s(literal -3 binary64)
(- (* 9 a) 3)
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(- (* 9 a) 3)
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(- (* 9 a) 3)
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* a (- 9 (* 3 (/ 1 a))))
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(* a (- 9 (* 3 (/ 1 a))))
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(* a (- 9 (* 3 (/ 1 a))))
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* 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)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 #s(literal -3/2 binary64) a) (sqrt.f64 #s(literal -3 binary64))))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 a (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))
(+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 a (fma.f64 a (/.f64 #s(literal -135/16 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) #s(literal 1/6 binary64))))))
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (fma.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))) #s(literal 0 binary64))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 a)) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 a (*.f64 a a))))
(* 3 (sqrt -1/3))
(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(fma.f64 a (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (/.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 3 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))))))
(fma.f64 a (fma.f64 a (fma.f64 a (/.f64 #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)))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 3 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 (fma.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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64) (fma.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) (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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 a))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) (fma.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 a (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (fma.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)))) (+ (* 1/432 (* (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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -9 binary64)))) (+.f64 (fma.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))) (fma.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))))))

eval157.0ms (1.3%)

Memory
20.2MiB live, 243.3MiB allocated
Compiler

Compiled 34 744 to 4 403 computations (87.3% saved)

prune367.0ms (3%)

Memory
-190.5MiB live, 348.2MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New86810878
Fresh000
Picked101
Done000
Total86910879
Accuracy
100.0%
Counts
879 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.4%
(*.f64 (fma.f64 (/.f64 a (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 a (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) a)))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 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 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
99.8%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
▶83.2%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))))
▶99.9%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)) rand)))
99.8%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))))
99.2%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) rand)))
▶99.9%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand)))
▶0.0%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand)))
Compiler

Compiled 434 to 312 computations (28.1% saved)

simplify464.0ms (3.8%)

Memory
22.9MiB live, 693.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
✓cost-diff0
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓cost-diff0
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
✓cost-diff0
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓cost-diff0
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
✓cost-diff0
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand)))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓cost-diff0
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
✓cost-diff0
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand)))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓cost-diff0
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)) rand)))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)) rand))
✓cost-diff384
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
Rules
10 508×accelerator-lowering-fma.f32
10 508×accelerator-lowering-fma.f64
5 970×*-lowering-*.f32
5 970×*-lowering-*.f64
1 644×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040312
195312
2253312
3850312
42564312
54756312
67125312
08067296
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (- a (/ 1 3)) (+ 1 (* (/ (sqrt (/ 1 (+ a -1/3))) 3) rand)))
(- a (/ 1 3))
a
(/ 1 3)
1
3
(+ 1 (* (/ (sqrt (/ 1 (+ a -1/3))) 3) rand))
(* (/ (sqrt (/ 1 (+ a -1/3))) 3) rand)
(/ (sqrt (/ 1 (+ a -1/3))) 3)
(sqrt (/ 1 (+ a -1/3)))
(/ 1 (+ a -1/3))
(+ a -1/3)
-1/3
rand
(* (- a (/ 1 3)) (+ 1 (* (* 1/3 (sqrt -3)) rand)))
(- a (/ 1 3))
a
(/ 1 3)
1
3
(+ 1 (* (* 1/3 (sqrt -3)) rand))
(* (* 1/3 (sqrt -3)) rand)
(* 1/3 (sqrt -3))
1/3
(sqrt -3)
-3
rand
(* (- a (/ 1 3)) (+ 1 (* (/ 1/3 (sqrt (+ a -1/3))) rand)))
(- a (/ 1 3))
a
(/ 1 3)
1
3
(+ 1 (* (/ 1/3 (sqrt (+ a -1/3))) rand))
(* (/ 1/3 (sqrt (+ a -1/3))) rand)
(/ 1/3 (sqrt (+ a -1/3)))
1/3
(sqrt (+ a -1/3))
(+ a -1/3)
-1/3
rand
(* (- a (/ 1 3)) (+ 1 (/ (* rand 1/3) (sqrt (+ a -1/3)))))
(- a (/ 1 3))
a
(/ 1 3)
1
3
(+ 1 (/ (* rand 1/3) (sqrt (+ a -1/3))))
(/ (* rand 1/3) (sqrt (+ a -1/3)))
(* rand 1/3)
rand
1/3
(sqrt (+ a -1/3))
(+ a -1/3)
-1/3
(* (- a (/ 1 3)) (+ 1 (* (/ (* rand 1/3) (sqrt (+ (* a a) -1/9))) (sqrt (+ 1/3 a)))))
(- a (/ 1 3))
a
(/ 1 3)
1
3
(+ 1 (* (/ (* rand 1/3) (sqrt (+ (* a a) -1/9))) (sqrt (+ 1/3 a))))
(* (/ (* rand 1/3) (sqrt (+ (* a a) -1/9))) (sqrt (+ 1/3 a)))
(/ (* rand 1/3) (sqrt (+ (* a a) -1/9)))
(* rand 1/3)
rand
1/3
(sqrt (+ (* a a) -1/9))
(+ (* a a) -1/9)
-1/9
(sqrt (+ 1/3 a))
(+ 1/3 a)
Outputs
(* (- a (/ 1 3)) (+ 1 (* (/ (sqrt (/ 1 (+ a -1/3))) 3) rand)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 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 (* (/ (sqrt (/ 1 (+ a -1/3))) 3) rand))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* (/ (sqrt (/ 1 (+ a -1/3))) 3) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(/ (sqrt (/ 1 (+ a -1/3))) 3)
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(sqrt (/ 1 (+ a -1/3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/ 1 (+ a -1/3))
(/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
rand
(* (- a (/ 1 3)) (+ 1 (* (* 1/3 (sqrt -3)) rand)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1 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 (* (* 1/3 (sqrt -3)) rand))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1 binary64))
(* (* 1/3 (sqrt -3)) rand)
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))
(* 1/3 (sqrt -3))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))
1/3
#s(literal 1/3 binary64)
(sqrt -3)
(sqrt.f64 #s(literal -3 binary64))
-3
#s(literal -3 binary64)
rand
(* (- a (/ 1 3)) (+ 1 (* (/ 1/3 (sqrt (+ a -1/3))) rand)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(- 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 (* (/ 1/3 (sqrt (+ a -1/3))) rand))
(fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(* (/ 1/3 (sqrt (+ a -1/3))) rand)
(/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/ 1/3 (sqrt (+ a -1/3)))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
1/3
#s(literal 1/3 binary64)
(sqrt (+ a -1/3))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
rand
(* (- a (/ 1 3)) (+ 1 (/ (* rand 1/3) (sqrt (+ a -1/3)))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(- 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 (/ (* rand 1/3) (sqrt (+ a -1/3))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(/ (* rand 1/3) (sqrt (+ a -1/3)))
(/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* rand 1/3)
(*.f64 #s(literal 1/3 binary64) rand)
rand
1/3
#s(literal 1/3 binary64)
(sqrt (+ a -1/3))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(* (- a (/ 1 3)) (+ 1 (* (/ (* rand 1/3) (sqrt (+ (* a a) -1/9))) (sqrt (+ 1/3 a)))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 a #s(literal 1/3 binary64))) #s(literal 1 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 (* (/ (* rand 1/3) (sqrt (+ (* a a) -1/9))) (sqrt (+ 1/3 a))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 a #s(literal 1/3 binary64))) #s(literal 1 binary64))
(* (/ (* rand 1/3) (sqrt (+ (* a a) -1/9))) (sqrt (+ 1/3 a)))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal 1/3 binary64)))) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))))
(/ (* rand 1/3) (sqrt (+ (* a a) -1/9)))
(/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))))
(* rand 1/3)
(*.f64 #s(literal 1/3 binary64) rand)
rand
1/3
#s(literal 1/3 binary64)
(sqrt (+ (* a a) -1/9))
(sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))
(+ (* a a) -1/9)
(fma.f64 a a #s(literal -1/9 binary64))
-1/9
#s(literal -1/9 binary64)
(sqrt (+ 1/3 a))
(sqrt.f64 (+.f64 a #s(literal 1/3 binary64)))
(+ 1/3 a)
(+.f64 a #s(literal 1/3 binary64))

localize156.0ms (1.3%)

Memory
2.0MiB live, 354.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))))
✓accuracy100.0%
(*.f64 rand #s(literal 1/3 binary64))
✓accuracy100.0%
(sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))
✓accuracy100.0%
(sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
✓accuracy100.0%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
✓accuracy100.0%
(*.f64 rand #s(literal 1/3 binary64))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand))
✓accuracy100.0%
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand)
✓accuracy100.0%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand)))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy100.0%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand)))
✓accuracy100.0%
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand)
✓accuracy100.0%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal -3 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)) rand))
✓accuracy100.0%
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)) rand)
✓accuracy100.0%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)) rand)))
✓accuracy100.0%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
Samples
88.0ms256×0invalid
Compiler

Compiled 338 to 42 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 18.0ms (29.8% of total)
ival-div: 11.0ms (18.2% of total)
ival-sqrt: 11.0ms (18.2% of total)
const: 10.0ms (16.6% of total)
ival-add: 9.0ms (14.9% of total)
ival-sub: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory
-19.4MiB live, 55.2MiB allocated
Counts
23 → 372
Calls
Call 1
Inputs
#<alt (/ 1 3)>
#<alt (/ (sqrt (/ 1 (+ a -1/3))) 3)>
#<alt (+ 1 (* (/ (sqrt (/ 1 (+ a -1/3))) 3) rand))>
#<alt (* (- a (/ 1 3)) (+ 1 (* (/ (sqrt (/ 1 (+ a -1/3))) 3) rand)))>
#<alt (+ 1 (* (* 1/3 (sqrt -3)) rand))>
#<alt (* (- a (/ 1 3)) (+ 1 (* (* 1/3 (sqrt -3)) rand)))>
#<alt (- a (/ 1 3))>
#<alt (+ 1 (* (/ 1/3 (sqrt (+ a -1/3))) rand))>
#<alt (* (- a (/ 1 3)) (+ 1 (* (/ 1/3 (sqrt (+ a -1/3))) rand)))>
#<alt (+ 1 (/ (* rand 1/3) (sqrt (+ a -1/3))))>
#<alt (* (- a (/ 1 3)) (+ 1 (/ (* rand 1/3) (sqrt (+ a -1/3)))))>
#<alt (+ 1 (* (/ (* rand 1/3) (sqrt (+ (* a a) -1/9))) (sqrt (+ 1/3 a))))>
#<alt (* (- a (/ 1 3)) (+ 1 (* (/ (* rand 1/3) (sqrt (+ (* a a) -1/9))) (sqrt (+ 1/3 a)))))>
#<alt (sqrt (/ 1 (+ a -1/3)))>
#<alt (* (/ (sqrt (/ 1 (+ a -1/3))) 3) rand)>
#<alt (sqrt -3)>
#<alt (* 1/3 (sqrt -3))>
#<alt (* (* 1/3 (sqrt -3)) rand)>
#<alt (sqrt (+ a -1/3))>
#<alt (* (/ 1/3 (sqrt (+ a -1/3))) rand)>
#<alt (* rand 1/3)>
#<alt (sqrt (+ 1/3 a))>
#<alt (sqrt (+ (* a a) -1/9))>
Outputs
#<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 (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 a)) (* (pow (sqrt -1) 2) (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt -3))))>
#<alt (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))>
#<alt (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 a)) (* rand (* (pow (sqrt -1) 2) (+ 1/27 (* -1/36 a))))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))>
#<alt (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (+ (* 1/54 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2)))))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) a)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (* rand (sqrt -3))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt -3))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt -3))))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* rand (+ (* 1/3 (sqrt -3)) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt -3)) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt -3)) (/ 1 rand)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt -3)) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt -3)) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt -3)) (/ 1 rand))))>
#<alt (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (* 1/3 (* rand (sqrt -3))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (* 1/3 (* rand (sqrt -3))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (* 1/3 (* rand (sqrt -3))))))>
#<alt (* a (+ 1 (* 1/3 (* rand (sqrt -3)))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)) (* 1/3 (* rand (sqrt -3))))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)) (* 1/3 (* rand (sqrt -3))))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)) (* 1/3 (* rand (sqrt -3))))))>
#<alt (* a (+ 1 (* 1/3 (* rand (sqrt -3)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* 1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* 1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* 1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (* (sqrt -3) (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (* (sqrt -3) (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (* (sqrt -3) (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (* (sqrt -3) (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (* (sqrt -3) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (* (sqrt -3) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (* (sqrt -3) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (* (sqrt -3) (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt -3) (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt -3) (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt -3) (- a 1/3))))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (+ 1 (* 1/3 (* rand (sqrt -3))))>
#<alt (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))>
#<alt (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
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#<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 (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))>
#<alt (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))>
#<alt (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* 1/3 (* 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)>
#<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)) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* 1/6 (sqrt (/ 1 (pow a 3)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (+ (* 1/432 (sqrt (/ 1 (pow a 7)))) (* 1/6 (sqrt (/ 1 (pow a 3))))))))>
#<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 (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (sqrt -1/9)>
#<alt (+ (sqrt -1/9) (* 1/2 (/ (pow a 2) (sqrt -1/9))))>
#<alt (+ (sqrt -1/9) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (pow (sqrt -1/9) 3))) (* 1/2 (/ 1 (sqrt -1/9))))))>
#<alt (+ (sqrt -1/9) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (pow (sqrt -1/9) 5))) (* 1/8 (/ 1 (pow (sqrt -1/9) 3))))) (* 1/2 (/ 1 (sqrt -1/9))))))>
#<alt a>
#<alt (* a (- 1 (* 1/18 (/ 1 (pow a 2)))))>
#<alt (* a (+ 1 (* -1 (/ (+ 1/18 (* 1/648 (/ 1 (pow a 2)))) (pow a 2)))))>
#<alt (* a (- (+ 1 (* -1 (/ (+ 1/648 (* 1/11664 (/ 1 (pow a 2)))) (pow a 4)))) (* 1/18 (/ 1 (pow a 2)))))>
#<alt (* -1 a)>
#<alt (* -1 (* a (- 1 (* 1/18 (/ 1 (pow a 2))))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ (+ 1/18 (* 1/648 (/ 1 (pow a 2)))) (pow a 2))))))>
#<alt (* -1 (* a (- (+ 1 (* -1 (/ (+ 1/648 (* 1/11664 (/ 1 (pow a 2)))) (pow a 4)))) (* 1/18 (/ 1 (pow a 2))))))>
Calls

93 calls:

TimeVariablePointExpression
3.0ms
rand
@0
(+ 1 (* (/ (* rand 1/3) (sqrt (+ (* a a) -1/9))) (sqrt (+ 1/3 a))))
3.0ms
a
@inf
(* (- a (/ 1 3)) (+ 1 (* (* 1/3 (sqrt -3)) rand)))
1.0ms
a
@-inf
(+ 1 (* (/ (* rand 1/3) (sqrt (+ (* a a) -1/9))) (sqrt (+ 1/3 a))))
1.0ms
a
@-inf
(+ 1 (* (/ 1/3 (sqrt (+ a -1/3))) rand))
1.0ms
a
@-inf
(+ 1 (* (/ (sqrt (/ 1 (+ a -1/3))) 3) rand))

rewrite718.0ms (5.8%)

Memory
3.0MiB live, 724.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 326×/-lowering-/.f32
4 326×/-lowering-/.f64
3 216×*-lowering-*.f32
3 216×*-lowering-*.f64
3 116×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040199
1238176
22202168
08727157
Stop Event
1×iter limit
1×node limit
Counts
23 → 1 946
Calls
Call 1
Inputs
(/ 1 3)
(/ (sqrt (/ 1 (+ a -1/3))) 3)
(+ 1 (* (/ (sqrt (/ 1 (+ a -1/3))) 3) rand))
(* (- a (/ 1 3)) (+ 1 (* (/ (sqrt (/ 1 (+ a -1/3))) 3) rand)))
(+ 1 (* (* 1/3 (sqrt -3)) rand))
(* (- a (/ 1 3)) (+ 1 (* (* 1/3 (sqrt -3)) rand)))
(- a (/ 1 3))
(+ 1 (* (/ 1/3 (sqrt (+ a -1/3))) rand))
(* (- a (/ 1 3)) (+ 1 (* (/ 1/3 (sqrt (+ a -1/3))) rand)))
(+ 1 (/ (* rand 1/3) (sqrt (+ a -1/3))))
(* (- a (/ 1 3)) (+ 1 (/ (* rand 1/3) (sqrt (+ a -1/3)))))
(+ 1 (* (/ (* rand 1/3) (sqrt (+ (* a a) -1/9))) (sqrt (+ 1/3 a))))
(* (- a (/ 1 3)) (+ 1 (* (/ (* rand 1/3) (sqrt (+ (* a a) -1/9))) (sqrt (+ 1/3 a)))))
(sqrt (/ 1 (+ a -1/3)))
(* (/ (sqrt (/ 1 (+ a -1/3))) 3) rand)
(sqrt -3)
(* 1/3 (sqrt -3))
(* (* 1/3 (sqrt -3)) rand)
(sqrt (+ a -1/3))
(* (/ 1/3 (sqrt (+ a -1/3))) rand)
(* rand 1/3)
(sqrt (+ 1/3 a))
(sqrt (+ (* a a) -1/9))
Outputs
#s(literal 1/3 binary64)
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #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 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (-.f64 #s(literal 0 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 -1/3 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -3 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 3 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) #s(literal -3 binary64))
(pow.f64 (*.f64 #s(literal 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 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64))
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(+.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) rand))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand #s(literal 1 binary64))
(fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) #s(literal 1 binary64))
(fma.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) rand))) #s(literal 1 binary64))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) rand)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) rand)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 rand #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 rand (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand) #s(literal -1/3 binary64) #s(literal 1 binary64))
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(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64))))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.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 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (-.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 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)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 #s(literal -1/3 binary64) rand)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 #s(literal -1/3 binary64) rand)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) a) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 #s(literal -1/3 binary64) rand)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) a) #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/3 binary64) a))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) rand)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 #s(literal -1/3 binary64) rand)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) a) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) a) #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/3 binary64) a))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) rand)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal 1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (pow.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/4 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 #s(literal -1/3 binary64) rand)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) a) #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/3 binary64) a))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) rand)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (*.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal 1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
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(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 #s(literal -1/3 binary64) rand)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) a) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 #s(literal -1/3 binary64) rand)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) a) #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/3 binary64) a))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) rand)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal 1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) #s(literal 1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))))
(/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
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(/.f64 (*.f64 #s(literal -1/3 binary64) rand) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) rand)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
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(/.f64 (neg.f64 rand) (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
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(/.f64 (*.f64 #s(literal 1 binary64) rand) (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (/.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
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(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 3 binary64))
(/.f64 (*.f64 rand #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 rand (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -3 binary64))
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(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand) #s(literal -3 binary64))
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))))
(*.f64 (*.f64 #s(literal -1/3 binary64) rand) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) rand))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) rand)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) rand)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (neg.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64))
(*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))))))
(*.f64 (*.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1/3 binary64))
(*.f64 (*.f64 rand #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (*.f64 rand (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 rand (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (pow.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 rand (pow.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (pow.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) (pow.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (neg.f64 rand) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) a) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) a) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) rand))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) (pow.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) (pow.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) rand))
(/.f64 rand #s(literal 3 binary64))
(/.f64 (neg.f64 rand) #s(literal -3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
(*.f64 rand #s(literal 1/3 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/3 binary64) a)) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/3 binary64) a)) (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (sqrt.f64 (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (sqrt.f64 (fma.f64 a a (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (sqrt.f64 (-.f64 #s(literal 1/3 binary64) a)))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/3 binary64) a))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (sqrt.f64 (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/3 binary64) a))))
(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 (log.f64 (+.f64 #s(literal 1/3 binary64) a))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/3 binary64) a))))
(*.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) a) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1/3 binary64) a) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a a #s(literal -1/9 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (sqrt.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -1/729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a a #s(literal 1/9 binary64))) (sqrt.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1/81 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -1/729 binary64))) (sqrt.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -1/729 binary64))) (sqrt.f64 (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a a) #s(literal -1/9 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1/81 binary64))) (sqrt.f64 (fma.f64 a a #s(literal 1/9 binary64))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) #s(literal 1/729 binary64))) (sqrt.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) #s(literal 1/9 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -1/729 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1/81 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 a a #s(literal 1/9 binary64)))))
(/.f64 (sqrt.f64 (-.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 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -1/729 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1/81 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 a a #s(literal 1/9 binary64)))))
(pow.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 a a #s(literal -1/9 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -1/729 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -1/729 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1/81 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1/81 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a #s(literal 1/9 binary64)))))
(*.f64 (pow.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/4 binary64)))

simplify582.0ms (4.7%)

Memory
-7.8MiB live, 999.6MiB allocated
Algorithm
1×egg-herbie
Rules
12 444×accelerator-lowering-fma.f32
12 444×accelerator-lowering-fma.f64
5 588×*-lowering-*.f32
5 588×*-lowering-*.f64
3 450×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06047476
118696331
267116233
082245718
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
(* 1/3 (sqrt -3))
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))
(* 1/3 (sqrt (/ 1 a)))
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))
(* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 a)) (* (pow (sqrt -1) 2) (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 a)) (* rand (* (pow (sqrt -1) 2) (+ 1/27 (* -1/36 a))))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
1
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
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(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
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(- 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 -3))))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(* 1/3 (* rand (sqrt -3)))
(* rand (+ (* 1/3 (sqrt -3)) (/ 1 rand)))
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(* 1/3 (* rand (sqrt -3)))
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(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
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(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (* 1/3 (* rand (sqrt -3))))))
(* a (+ 1 (* 1/3 (* rand (sqrt -3)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)) (* 1/3 (* rand (sqrt -3))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)) (* 1/3 (* rand (sqrt -3))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)) (* 1/3 (* rand (sqrt -3))))))
(* a (+ 1 (* 1/3 (* rand (sqrt -3)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* 1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* 1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* 1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (* (sqrt -3) (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (* (sqrt -3) (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (* (sqrt -3) (- a 1/3))))) 1/3)
(* 1/3 (* rand (* (sqrt -3) (- a 1/3))))
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(* 1/3 (* rand (* (sqrt -3) (- a 1/3))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt -3) (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt -3) (- a 1/3))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+ 1 (* 1/3 (* rand (sqrt -3))))
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(+ 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
(+ 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)))))
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(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
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(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* 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)))
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(+ 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 (+ 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 (/ (+ 1/3 a) (- (pow a 2) 1/9))))))
(+ 1 (* 1/3 (* rand (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9))))))
(+ 1 (* 1/3 (* rand (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9))))))
(* 1/3 (* rand (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))))
(* rand (+ (* 1/3 (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))) (/ 1 rand)))
(* 1/3 (* rand (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))))
(* -1 (* rand (- (* -1/3 (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))) (/ 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 (pow (sqrt -1) 2)))))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(+ 1 (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 a)) (* rand (- 1/27 (* -1/36 (/ a (pow (sqrt -1) 2))))))) (* -1/54 (* (sqrt a) rand))) (pow a 3))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* 1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (* 1/54 (* (sqrt (/ 1 a)) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* (* rand (- a 1/3)) (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))))) 1/3)
(- (+ a (* 1/3 (* (* rand (- a 1/3)) (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))))) 1/3)
(- (+ a (* 1/3 (* (* rand (- a 1/3)) (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))))) 1/3)
(* 1/3 (* (* rand (- a 1/3)) (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))))
(* rand (- (+ (* 1/3 (* (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9))) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (* (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9))) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (* (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9))) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* (* rand (- a 1/3)) (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9))) (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9))) (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9))) (- a 1/3))))))
(sqrt -3)
(+ (sqrt -3) (* -9/2 (/ a (sqrt -3))))
(+ (sqrt -3) (* a (- (* -1/2 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 9/2 (/ 1 (sqrt -3))))))
(+ (sqrt -3) (* a (- (* a (+ (* -1/2 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 9/2 (/ 1 (sqrt -3))))))
(sqrt (/ 1 a))
(+ (sqrt (/ 1 a)) (* 1/6 (sqrt (/ 1 (pow a 3)))))
(+ (sqrt (/ 1 a)) (+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (* 1/6 (sqrt (/ 1 (pow a 3))))))
(+ (sqrt (/ 1 a)) (+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* 1/2 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))))))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 a)) (* (pow (sqrt -1) 2) (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(* 1/3 (* rand (sqrt -3)))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 a)) (* rand (* (pow (sqrt -1) 2) (+ 1/27 (* -1/36 a))))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* 1/3 (* rand (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 (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)
(* 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)) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* 1/6 (sqrt (/ 1 (pow a 3)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (+ (* 1/432 (sqrt (/ 1 (pow a 7)))) (* 1/6 (sqrt (/ 1 (pow a 3))))))))
(* -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 (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(sqrt -1/9)
(+ (sqrt -1/9) (* 1/2 (/ (pow a 2) (sqrt -1/9))))
(+ (sqrt -1/9) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (pow (sqrt -1/9) 3))) (* 1/2 (/ 1 (sqrt -1/9))))))
(+ (sqrt -1/9) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (pow (sqrt -1/9) 5))) (* 1/8 (/ 1 (pow (sqrt -1/9) 3))))) (* 1/2 (/ 1 (sqrt -1/9))))))
a
(* a (- 1 (* 1/18 (/ 1 (pow a 2)))))
(* a (+ 1 (* -1 (/ (+ 1/18 (* 1/648 (/ 1 (pow a 2)))) (pow a 2)))))
(* a (- (+ 1 (* -1 (/ (+ 1/648 (* 1/11664 (/ 1 (pow a 2)))) (pow a 4)))) (* 1/18 (/ 1 (pow a 2)))))
(* -1 a)
(* -1 (* a (- 1 (* 1/18 (/ 1 (pow a 2))))))
(* -1 (* a (+ 1 (* -1 (/ (+ 1/18 (* 1/648 (/ 1 (pow a 2)))) (pow a 2))))))
(* -1 (* a (- (+ 1 (* -1 (/ (+ 1/648 (* 1/11664 (/ 1 (pow a 2)))) (pow a 4)))) (* 1/18 (/ 1 (pow a 2))))))
Outputs
(* 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)))
(fma.f64 #s(literal -3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 a (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))
(+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 a (+.f64 (/.f64 (*.f64 #s(literal -135/16 binary64) a) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))
(fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) (fma.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))))))))
(* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (*.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))) (pow (sqrt -1) 2))) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 a)) (* (pow (sqrt -1) 2) (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (-.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (fma.f64 #s(literal -1/54 binary64) (sqrt.f64 a) (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 a #s(literal 1/36 binary64) #s(literal -1/27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.f64 a (*.f64 a a)))))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) (fma.f64 #s(literal -3/2 binary64) (*.f64 rand (/.f64 a (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 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)))))))
(fma.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -27/8 binary64) rand) a) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))
(fma.f64 a (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (fma.f64 (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (/.f64 (*.f64 a (*.f64 #s(literal 405/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal -3/2 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.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 1 binary64))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 rand (fma.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 1 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) rand)) (*.f64 rand (fma.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)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/54 binary64) rand) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand #s(literal 1 binary64))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(fma.f64 (-.f64 #s(literal 0 binary64) rand) (fma.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))) #s(literal 1 binary64))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(fma.f64 rand (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand #s(literal 1 binary64)))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 a)) (* rand (* (pow (sqrt -1) 2) (+ 1/27 (* -1/36 a))))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(-.f64 (fma.f64 (-.f64 #s(literal 0 binary64) rand) (fma.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))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 a #s(literal 1/36 binary64) #s(literal -1/27 binary64)) rand)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal -1/54 binary64)))) (*.f64 a (*.f64 a a))))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(fma.f64 a (+.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 rand (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 45/16 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(fma.f64 a (fma.f64 rand (fma.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 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(fma.f64 a (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) a) (fma.f64 rand (fma.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)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 a (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand #s(literal 1 binary64)))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) a)))))
(*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64) #s(literal 1/3 binary64)) a))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) a)))))
(*.f64 a (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand #s(literal 1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/18 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 0 binary64) rand)) #s(literal -1/9 binary64) #s(literal -1/3 binary64))) a)))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (+ (* 1/54 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2)))))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) a)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand (/.f64 (+.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 0 binary64) rand)) #s(literal -1/9 binary64) (/.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/18 binary64)) #s(literal 0 binary64)) a))) a))))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.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)
(fma.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)
(fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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
#s(literal 1 binary64)
(+ 1 (* 1/3 (* rand (sqrt -3))))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* 1/3 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
(* rand (+ (* 1/3 (sqrt -3)) (/ 1 rand)))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt -3)) (/ 1 rand)))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt -3)) (/ 1 rand)))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* 1/3 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
(* -1 (* rand (- (* -1/3 (sqrt -3)) (/ 1 rand))))
(-.f64 #s(literal 0 binary64) (fma.f64 rand (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(* -1 (* rand (- (* -1/3 (sqrt -3)) (/ 1 rand))))
(-.f64 #s(literal 0 binary64) (fma.f64 rand (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(* -1 (* rand (- (* -1/3 (sqrt -3)) (/ 1 rand))))
(-.f64 #s(literal 0 binary64) (fma.f64 rand (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (* 1/3 (* rand (sqrt -3))))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (* 1/3 (* rand (sqrt -3))))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (* 1/3 (* rand (sqrt -3))))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* rand (sqrt -3)))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)) (* 1/3 (* rand (sqrt -3))))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)) (* 1/3 (* rand (sqrt -3))))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)) (* 1/3 (* rand (sqrt -3))))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (* 1/3 (* rand (sqrt -3)))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* 1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* 1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* 1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) a))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (+ a (* 1/3 (* rand (* (sqrt -3) (- a 1/3))))) 1/3)
(+.f64 a (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* rand (* (sqrt -3) (- a 1/3))))) 1/3)
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(- (+ a (* 1/3 (* rand (* (sqrt -3) (- a 1/3))))) 1/3)
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(* 1/3 (* rand (* (sqrt -3) (- a 1/3))))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (- (+ (* 1/3 (* (sqrt -3) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* 1/3 (* (sqrt -3) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* 1/3 (* (sqrt -3) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* 1/3 (* rand (* (sqrt -3) (- a 1/3))))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt -3) (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt -3) (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt -3) (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 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 (* 1/3 (* rand (sqrt -3))))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) (fma.f64 #s(literal -3/2 binary64) (*.f64 rand (/.f64 a (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 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)))))))
(fma.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -27/8 binary64) rand) a) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))
(fma.f64 a (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (fma.f64 (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (/.f64 (*.f64 a (*.f64 #s(literal 405/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal -3/2 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.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 1 binary64))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 rand (fma.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 1 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) rand)) (*.f64 rand (fma.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)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/54 binary64) rand) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.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))) #s(literal 1 binary64))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/54 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 rand #s(literal -1/18 binary64)) #s(literal 1 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 (fma.f64 rand (fma.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))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) rand) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/54 binary64)))) (*.f64 a (*.f64 a a))))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(fma.f64 a (+.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 rand (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 45/16 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(fma.f64 a (fma.f64 rand (fma.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 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(fma.f64 a (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) a) (fma.f64 rand (fma.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)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* -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) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 0 binary64) rand)) #s(literal -1/9 binary64) #s(literal 1/3 binary64)) a))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(*.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/18 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64))) a)))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(*.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64) (/.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal -1/18 binary64)) #s(literal 0 binary64)) a))) a)))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.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)
(fma.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)
(fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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
#s(literal 1 binary64)
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) (fma.f64 #s(literal -3/2 binary64) (*.f64 rand (/.f64 a (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 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)))))))
(fma.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -27/8 binary64) rand) a) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))
(fma.f64 a (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (fma.f64 (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (/.f64 (*.f64 a (*.f64 #s(literal 405/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal -3/2 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.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 1 binary64))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 rand (fma.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 1 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) rand)) (*.f64 rand (fma.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)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/54 binary64) rand) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.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))) #s(literal 1 binary64))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/54 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 rand #s(literal -1/18 binary64)) #s(literal 1 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 (fma.f64 rand (fma.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))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) rand) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/54 binary64)))) (*.f64 a (*.f64 a a))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(fma.f64 a (+.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 rand (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 45/16 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(fma.f64 a (fma.f64 rand (fma.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 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(fma.f64 a (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) a) (fma.f64 rand (fma.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)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* -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) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 0 binary64) rand)) #s(literal -1/9 binary64) #s(literal 1/3 binary64)) a))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(*.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/18 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64))) a)))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(*.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64) (/.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal -1/18 binary64)) #s(literal 0 binary64)) a))) a)))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.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)
(fma.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)
(fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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
#s(literal 1 binary64)
(+ 1 (* 1/3 (* rand (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9))))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9))))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9))))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* 1/3 (* rand (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (+ (* 1/3 (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* 1/3 (* rand (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))) (/ 1 rand))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64))))) (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64))
(* -1 (* rand (- (* -1/3 (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))) (/ 1 rand))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64))))) (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64))
(* -1 (* rand (- (* -1/3 (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))) (/ 1 rand))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64))))) (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) (fma.f64 #s(literal -3/2 binary64) (*.f64 rand (/.f64 a (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 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)))))))
(fma.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -27/8 binary64) rand) a) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))
(fma.f64 a (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (fma.f64 (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (/.f64 (*.f64 a (*.f64 #s(literal 405/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal -3/2 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.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 1 binary64))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 rand (fma.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 1 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) rand)) (*.f64 rand (fma.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)))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/54 binary64) rand) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand #s(literal 1 binary64))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(fma.f64 (-.f64 #s(literal 0 binary64) rand) (fma.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))) #s(literal 1 binary64))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(fma.f64 rand (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand #s(literal 1 binary64)))
(+ 1 (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 a)) (* rand (- 1/27 (* -1/36 (/ a (pow (sqrt -1) 2))))))) (* -1/54 (* (sqrt a) rand))) (pow a 3))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(-.f64 (fma.f64 (-.f64 #s(literal 0 binary64) rand) (fma.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))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) rand) #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal -1/54 binary64)))) (*.f64 a (*.f64 a a))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(fma.f64 a (+.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 rand (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 45/16 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(fma.f64 a (fma.f64 rand (fma.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 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(fma.f64 a (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) a) (fma.f64 rand (fma.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)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 a (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand #s(literal 1 binary64)))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) a)))))
(*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64) #s(literal 1/3 binary64)) a))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* 1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(*.f64 a (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand #s(literal 1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/18 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 0 binary64) rand)) #s(literal -1/9 binary64) #s(literal -1/3 binary64))) a)))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (* 1/54 (* (sqrt (/ 1 a)) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) a)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand (/.f64 (+.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 0 binary64) rand)) #s(literal -1/9 binary64) (/.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/18 binary64)) #s(literal 0 binary64)) a))) a))))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (+ a (* 1/3 (* (* rand (- a 1/3)) (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))))) 1/3)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) rand) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (* rand (- a 1/3)) (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))))) 1/3)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) rand) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (* rand (- a 1/3)) (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))))) 1/3)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) rand) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* (* rand (- a 1/3)) (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) rand))
(* rand (- (+ (* 1/3 (* (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9))) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* 1/3 (* (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9))) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* 1/3 (* (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9))) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* 1/3 (* (* rand (- a 1/3)) (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9))) (- a 1/3))))))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9))) (- a 1/3))))))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ (+ 1/3 a) (- (pow a 2) 1/9))) (- a 1/3))))))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(sqrt -3)
(sqrt.f64 #s(literal -3 binary64))
(+ (sqrt -3) (* -9/2 (/ a (sqrt -3))))
(fma.f64 (/.f64 a (sqrt.f64 #s(literal -3 binary64))) #s(literal -9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))
(+ (sqrt -3) (* a (- (* -1/2 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 9/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 a (/.f64 #s(literal -81/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(+ (sqrt -3) (* a (- (* a (+ (* -1/2 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 9/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 a (+.f64 (/.f64 (*.f64 #s(literal -405/16 binary64) a) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -81/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal -9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(+ (sqrt (/ 1 a)) (* 1/6 (sqrt (/ 1 (pow a 3)))))
(fma.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)))
(+ (sqrt (/ 1 a)) (+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (* 1/6 (sqrt (/ 1 (pow a 3))))))
(fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.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))))
(+ (sqrt (/ 1 a)) (+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* 1/2 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))))))
(+.f64 (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))
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(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.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)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 a)) (* (pow (sqrt -1) 2) (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(-.f64 (fma.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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (fma.f64 a #s(literal 1/36 binary64) #s(literal -1/27 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 a))) (*.f64 a (*.f64 a a))))
(* 1/3 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
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(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(fma.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -27/8 binary64) rand) a) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand)))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(fma.f64 a (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (fma.f64 (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (/.f64 (*.f64 a (*.f64 #s(literal 405/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal -3/2 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -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))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) rand)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand)
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand (*.f64 rand (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 a)) (* rand (* (pow (sqrt -1) 2) (+ 1/27 (* -1/36 a))))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(fma.f64 (-.f64 #s(literal 0 binary64) rand) (fma.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 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 a #s(literal 1/36 binary64) #s(literal -1/27 binary64)) rand)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal -1/54 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.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.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.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)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 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 (fma.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))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(*.f64 a (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (-.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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))) (-.f64 #s(literal 0 binary64) a))
(* 1/3 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a rand)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(fma.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -27/8 binary64) rand) a) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand)))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(fma.f64 a (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (fma.f64 (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (/.f64 (*.f64 a (*.f64 #s(literal 405/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal -3/2 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -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))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) rand)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 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 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal -1/54 binary64)) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64)))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) rand) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/54 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 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))))
(fma.f64 a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 #s(literal 1/3 binary64)))
(+ (sqrt 1/3) (* a (+ (* -1/8 (/ a (pow (sqrt 1/3) 3))) (* 1/2 (/ 1 (sqrt 1/3))))))
(fma.f64 a (fma.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.f64 #s(literal 1/3 binary64)))
(+ (sqrt 1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt 1/3) 5))) (* 1/8 (/ 1 (pow (sqrt 1/3) 3))))) (* 1/2 (/ 1 (sqrt 1/3))))))
(fma.f64 a (fma.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)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/3 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 (fma.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))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* 1/6 (sqrt (/ 1 (pow a 3)))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (+ (* 1/432 (sqrt (/ 1 (pow a 7)))) (* 1/6 (sqrt (/ 1 (pow a 3))))))))
(*.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/432 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 (fma.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 (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.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)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 #s(literal 1/432 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.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))
(sqrt -1/9)
(sqrt.f64 #s(literal -1/9 binary64))
(+ (sqrt -1/9) (* 1/2 (/ (pow a 2) (sqrt -1/9))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) (sqrt.f64 #s(literal -1/9 binary64))) (sqrt.f64 #s(literal -1/9 binary64)))
(+ (sqrt -1/9) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (pow (sqrt -1/9) 3))) (* 1/2 (/ 1 (sqrt -1/9))))))
(fma.f64 (*.f64 a a) (fma.f64 (/.f64 (*.f64 a a) (sqrt.f64 #s(literal -1/9 binary64))) #s(literal 9/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/9 binary64)))) (sqrt.f64 #s(literal -1/9 binary64)))
(+ (sqrt -1/9) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (pow (sqrt -1/9) 5))) (* 1/8 (/ 1 (pow (sqrt -1/9) 3))))) (* 1/2 (/ 1 (sqrt -1/9))))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/9 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal -1/9 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/9 binary64)))) (sqrt.f64 #s(literal -1/9 binary64)))
a
(* a (- 1 (* 1/18 (/ 1 (pow a 2)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 a a))))
(* a (+ 1 (* -1 (/ (+ 1/18 (* 1/648 (/ 1 (pow a 2)))) (pow a 2)))))
(*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1/648 binary64) (*.f64 a a))) (*.f64 a a))))
(* a (- (+ 1 (* -1 (/ (+ 1/648 (* 1/11664 (/ 1 (pow a 2)))) (pow a 4)))) (* 1/18 (/ 1 (pow a 2)))))
(*.f64 a (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/648 binary64) (/.f64 #s(literal 1/11664 binary64) (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 a a)))) (/.f64 #s(literal -1/18 binary64) (*.f64 a a))))
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 (* a (- 1 (* 1/18 (/ 1 (pow a 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 a a)))))
(* -1 (* a (+ 1 (* -1 (/ (+ 1/18 (* 1/648 (/ 1 (pow a 2)))) (pow a 2))))))
(fma.f64 a (/.f64 (+.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1/648 binary64) (*.f64 a a))) (*.f64 a a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ 1 (* -1 (/ (+ 1/648 (* 1/11664 (/ 1 (pow a 2)))) (pow a 4)))) (* 1/18 (/ 1 (pow a 2))))))
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/648 binary64) (/.f64 #s(literal 1/11664 binary64) (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 a a)))) (/.f64 #s(literal -1/18 binary64) (*.f64 a a))) (-.f64 #s(literal 0 binary64) a))

eval1.0s (8.5%)

Memory
34.7MiB live, 648.1MiB allocated
Compiler

Compiled 81 535 to 4 320 computations (94.7% saved)

prune724.0ms (5.9%)

Memory
4.1MiB live, 455.3MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New2 891102 901
Fresh505
Picked505
Done000
Total2 901102 911
Accuracy
100.0%
Counts
2 911 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.2%
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
▶99.8%
(fma.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
▶99.9%
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) rand (+.f64 a #s(literal -1/3 binary64)))
▶99.9%
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
▶64.0%
(+.f64 a #s(literal -1/3 binary64))
36.2%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
79.7%
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
▶97.9%
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
98.0%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)) rand)))
98.0%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand)))
Compiler

Compiled 290 to 192 computations (33.8% saved)

simplify63.0ms (0.5%)

Memory
-1.4MiB live, 76.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓cost-diff0
(/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
✓cost-diff192
(fma.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff0
(*.f64 rand #s(literal 1/3 binary64))
✓cost-diff0
(/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓cost-diff0
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) rand)
✓cost-diff0
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff64
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) rand (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff128
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
Rules
892×accelerator-lowering-fma.f32
892×accelerator-lowering-fma.f64
468×*-lowering-*.f32
468×*-lowering-*.f64
308×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023160
168160
2193156
3419156
4720156
5864156
61001156
71182156
81186156
91190156
101198156
111198156
121200156
131201156
01201150
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (* (+ a -1/3) (/ 1/3 (sqrt (+ a -1/3)))) rand) (+ a -1/3))
(* (+ a -1/3) (/ 1/3 (sqrt (+ a -1/3))))
(+ a -1/3)
a
-1/3
(/ 1/3 (sqrt (+ a -1/3)))
1/3
(sqrt (+ a -1/3))
rand
(+ a -1/3)
a
-1/3
(+ (* (* 1/3 rand) (sqrt (+ a -1/3))) (+ a -1/3))
(* 1/3 rand)
1/3
rand
(sqrt (+ a -1/3))
(+ a -1/3)
a
-1/3
(* a (+ 1 (/ (* rand 1/3) (sqrt (+ a -1/3)))))
a
(+ 1 (/ (* rand 1/3) (sqrt (+ a -1/3))))
1
(/ (* rand 1/3) (sqrt (+ a -1/3)))
(* rand 1/3)
rand
1/3
(sqrt (+ a -1/3))
(+ a -1/3)
-1/3
(+ (* (/ rand (* 3 (sqrt (+ a -1/3)))) (+ a -1/3)) (+ a -1/3))
(/ rand (* 3 (sqrt (+ a -1/3))))
rand
(* 3 (sqrt (+ a -1/3)))
3
(sqrt (+ a -1/3))
(+ a -1/3)
a
-1/3
Outputs
(+ (* (* (+ a -1/3) (/ 1/3 (sqrt (+ a -1/3)))) rand) (+ a -1/3))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(* (+ a -1/3) (/ 1/3 (sqrt (+ a -1/3))))
(/.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (sqrt.f64 (+.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)
(/ 1/3 (sqrt (+ a -1/3)))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
1/3
#s(literal 1/3 binary64)
(sqrt (+ a -1/3))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
rand
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
(+ (* (* 1/3 rand) (sqrt (+ a -1/3))) (+ a -1/3))
(fma.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)
(*.f64 #s(literal 1/3 binary64) rand)
1/3
#s(literal 1/3 binary64)
rand
(sqrt (+ a -1/3))
(sqrt.f64 (+.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)
(* a (+ 1 (/ (* rand 1/3) (sqrt (+ a -1/3)))))
(*.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
a
(+ 1 (/ (* rand 1/3) (sqrt (+ a -1/3))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (* rand 1/3) (sqrt (+ a -1/3)))
(/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* rand 1/3)
(*.f64 #s(literal 1/3 binary64) rand)
rand
1/3
#s(literal 1/3 binary64)
(sqrt (+ a -1/3))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(+ (* (/ rand (* 3 (sqrt (+ a -1/3)))) (+ a -1/3)) (+ a -1/3))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(/ rand (* 3 (sqrt (+ a -1/3))))
(/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
rand
(* 3 (sqrt (+ a -1/3)))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(sqrt (+ a -1/3))
(sqrt.f64 (+.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)

localize97.0ms (0.8%)

Memory
-14.7MiB live, 263.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.9%
(fma.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.7%
(/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
✓accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.9%
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
✓accuracy99.6%
(/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓accuracy99.5%
(*.f64 rand #s(literal 1/3 binary64))
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.9%
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) rand)
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.9%
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) rand (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.5%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
Samples
59.0ms256×0valid
Compiler

Compiled 159 to 25 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
const: 14.0ms (32.9% of total)
ival-add: 11.0ms (25.8% of total)
ival-mult: 11.0ms (25.8% of total)
ival-div: 4.0ms (9.4% of total)
ival-sqrt: 2.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
0.8MiB live, 39.7MiB allocated
Counts
14 → 252
Calls
Call 1
Inputs
#<alt (* (+ a -1/3) (/ 1/3 (sqrt (+ a -1/3))))>
#<alt (+ (* (* (+ a -1/3) (/ 1/3 (sqrt (+ a -1/3)))) rand) (+ a -1/3))>
#<alt (+ a -1/3)>
#<alt (/ 1/3 (sqrt (+ a -1/3)))>
#<alt (+ (* (* 1/3 rand) (sqrt (+ a -1/3))) (+ a -1/3))>
#<alt (* 1/3 rand)>
#<alt (sqrt (+ a -1/3))>
#<alt (+ 1 (/ (* rand 1/3) (sqrt (+ a -1/3))))>
#<alt (* a (+ 1 (/ (* rand 1/3) (sqrt (+ a -1/3)))))>
#<alt (/ (* rand 1/3) (sqrt (+ a -1/3)))>
#<alt (* rand 1/3)>
#<alt (+ (* (/ rand (* 3 (sqrt (+ a -1/3)))) (+ a -1/3)) (+ a -1/3))>
#<alt (/ rand (* 3 (sqrt (+ a -1/3))))>
#<alt (* 3 (sqrt (+ a -1/3)))>
Outputs
#<alt (* 1/3 (sqrt -1/3))>
#<alt (+ (* 1/6 (/ a (sqrt -1/3))) (* 1/3 (sqrt -1/3)))>
#<alt (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (* 1/6 (/ 1 (sqrt -1/3))))))>
#<alt (+ (* 1/3 (sqrt -1/3)) (* a (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/6 (/ 1 (sqrt -1/3))))))>
#<alt (* 1/3 (sqrt a))>
#<alt (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (* 1/3 (sqrt (/ 1 a))))))>
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#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* 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 (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))>
Calls

63 calls:

TimeVariablePointExpression
1.0ms
a
@0
(* a (+ 1 (/ (* rand 1/3) (sqrt (+ a -1/3)))))
1.0ms
a
@-inf
(* (+ a -1/3) (/ 1/3 (sqrt (+ a -1/3))))
1.0ms
a
@-inf
(* 3 (sqrt (+ a -1/3)))
1.0ms
a
@-inf
(+ (* (* 1/3 rand) (sqrt (+ a -1/3))) (+ a -1/3))
0.0ms
a
@-inf
(/ 1/3 (sqrt (+ a -1/3)))

rewrite409.0ms (3.3%)

Memory
6.7MiB live, 855.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 264×accelerator-lowering-fma.f32
8 264×accelerator-lowering-fma.f64
3 592×/-lowering-/.f32
3 592×/-lowering-/.f64
3 226×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023121
1147115
21520105
08816100
Stop Event
1×iter limit
1×node limit
Counts
14 → 1 138
Calls
Call 1
Inputs
(* (+ a -1/3) (/ 1/3 (sqrt (+ a -1/3))))
(+ (* (* (+ a -1/3) (/ 1/3 (sqrt (+ a -1/3)))) rand) (+ a -1/3))
(+ a -1/3)
(/ 1/3 (sqrt (+ a -1/3)))
(+ (* (* 1/3 rand) (sqrt (+ a -1/3))) (+ a -1/3))
(* 1/3 rand)
(sqrt (+ a -1/3))
(+ 1 (/ (* rand 1/3) (sqrt (+ a -1/3))))
(* a (+ 1 (/ (* rand 1/3) (sqrt (+ a -1/3)))))
(/ (* rand 1/3) (sqrt (+ a -1/3)))
(* rand 1/3)
(+ (* (/ rand (* 3 (sqrt (+ a -1/3)))) (+ a -1/3)) (+ a -1/3))
(/ rand (* 3 (sqrt (+ a -1/3))))
(* 3 (sqrt (+ a -1/3)))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a))
(+.f64 (/.f64 a (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))) (/.f64 a (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 a a) (+.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 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))))
(fma.f64 a (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 a (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a))
(neg.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(neg.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(neg.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(neg.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.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 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #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 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.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 (*.f64 (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 a a #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 a a #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64)))) (*.f64 #s(literal -1/3 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal 1/3 binary64)))) (*.f64 #s(literal -1/3 binary64) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 1/3 binary64) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))))
(/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))))
(/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal -1/3 binary64)) (*.f64 (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1/3 binary64)) (*.f64 (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) (neg.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64)))))
(/.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 a a #s(literal -1/9 binary64))) (neg.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64)))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.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) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal -1/9 binary64))) (*.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) (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) a)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))))
(/.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))) (neg.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal -1/3 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal -1/3 binary64))) (neg.f64 (neg.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 a a #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 a a #s(literal -1/9 binary64)))) (neg.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
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(-.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) a)) (+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) a) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) a) #s(literal 1/3 binary64))))
(fma.f64 a #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))))
(fma.f64 a (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.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)))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 a (/.f64 #s(literal 1 binary64) rand)) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 #s(literal 1 binary64) a (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))))
(fma.f64 #s(literal 1 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)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 a (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (/.f64 a (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 a a #s(literal 1/9 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)))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 a a (*.f64 a #s(literal 1/3 binary64))))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 a a #s(literal 1/9 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)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))) (neg.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1/3 binary64)) a))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 a (*.f64 #s(literal 1/3 binary64) rand)) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 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)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.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 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.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)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64) (*.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) rand) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) rand)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) rand) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (neg.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) rand)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal 1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (neg.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (neg.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) (+.f64 a #s(literal 1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal 1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 a a #s(literal 1/9 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)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 a #s(literal 3 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand (+.f64 a #s(literal -1/3 binary64)))
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(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) rand)))) (/.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (+.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 (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) a)) (+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) a) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) a) #s(literal 1/3 binary64))))
(fma.f64 a #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))))
(fma.f64 a (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.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)))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 a (/.f64 #s(literal 1 binary64) rand)) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 #s(literal 1 binary64) a (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))))
(fma.f64 #s(literal 1 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)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 a (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (/.f64 a (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 a a #s(literal 1/9 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)))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 a a (*.f64 a #s(literal 1/3 binary64))))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 a a #s(literal 1/9 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)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))) (neg.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1/3 binary64)) a))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 a (*.f64 #s(literal 1/3 binary64) rand)) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 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)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.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 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.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)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64) (*.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) rand) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) rand)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) rand) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (neg.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) rand)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal 1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (neg.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (neg.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) (+.f64 a #s(literal 1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal 1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 a a #s(literal 1/9 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)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 a #s(literal 3 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
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(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(neg.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64))
(/.f64 #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 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal 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 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))

simplify466.0ms (3.8%)

Memory
39.6MiB live, 817.9MiB allocated
Algorithm
1×egg-herbie
Rules
11 744×accelerator-lowering-fma.f32
11 744×accelerator-lowering-fma.f64
5 056×*-lowering-*.f32
5 056×*-lowering-*.f64
4 570×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04884305
115253959
251833905
081053608
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(* 1/3 (sqrt -1/3))
(+ (* 1/6 (/ a (sqrt -1/3))) (* 1/3 (sqrt -1/3)))
(+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (* 1/6 (/ 1 (sqrt -1/3))))))
(+ (* 1/3 (sqrt -1/3)) (* a (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/6 (/ 1 (sqrt -1/3))))))
(* 1/3 (sqrt a))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (* 1/3 (sqrt (/ 1 a))))))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* -1/1296 (sqrt (/ 1 (pow a 7)))) (* 1/3 (sqrt (/ 1 a)))))))
(* 1/3 (sqrt a))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* -1/18 (sqrt (/ 1 (pow a 3)))))))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/216 (sqrt (/ 1 (pow a 5))))))))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/1296 (sqrt (/ 1 (pow a 7)))) (* 1/216 (sqrt (/ 1 (pow a 5)))))))))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* 1/3 (sqrt -3))
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))
(* 1/3 (sqrt (/ 1 a)))
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))
(* 1/3 (sqrt (/ 1 a)))
(+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (* 1/3 (sqrt (/ 1 a)))))
(+ (* -1 (/ (+ (* 1/54 (sqrt a)) (* 1/6 (* (sqrt (/ 1 a)) (+ 1/27 (* -1/36 a))))) (pow a 3))) (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(- a 1/3)
(- (+ 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)))
(* 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))) (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
(+ 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)))))
(* a (+ 1 (* 1/3 (* rand (sqrt -3)))))
(* a (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))))
(* a (+ 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))))))))
(* a (+ 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))))))))))
(* 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 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 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)))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a))))) (* -1/54 (* (sqrt a) rand))) (pow a 3))) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))))
a
(+ a (* 1/3 (* (* a rand) (sqrt (/ 1 (- a 1/3))))))
(+ a (* 1/3 (* (* a rand) (sqrt (/ 1 (- a 1/3))))))
(+ a (* 1/3 (* (* a rand) (sqrt (/ 1 (- a 1/3))))))
(* 1/3 (* (* a rand) (sqrt (/ 1 (- a 1/3)))))
(* rand (+ (* 1/3 (* a (sqrt (/ 1 (- a 1/3))))) (/ a rand)))
(* rand (+ (* 1/3 (* a (sqrt (/ 1 (- a 1/3))))) (/ a rand)))
(* rand (+ (* 1/3 (* a (sqrt (/ 1 (- a 1/3))))) (/ a rand)))
(* 1/3 (* (* a rand) (sqrt (/ 1 (- a 1/3)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (* a (sqrt (/ 1 (- a 1/3))))))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (* a (sqrt (/ 1 (- a 1/3))))))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (* a (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 (/ 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)
(- 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)) 1)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* 1/3 (* 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))))
(* 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)))))))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
Outputs
(* 1/3 (sqrt -1/3))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* 1/6 (/ a (sqrt -1/3))) (* 1/3 (sqrt -1/3)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/6 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64)))))
(+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (* 1/6 (/ 1 (sqrt -1/3))))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (fma.f64 a (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* 1/3 (sqrt -1/3)) (* a (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/6 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/48 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(*.f64 a (fma.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)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (* 1/3 (sqrt (/ 1 a))))))
(*.f64 a (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #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)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* -1/1296 (sqrt (/ 1 (pow a 7)))) (* 1/3 (sqrt (/ 1 a)))))))
(*.f64 a (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))))))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* -1/18 (sqrt (/ 1 (pow a 3)))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.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 (* a (+ (* -1/3 (sqrt (/ 1 a))) (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/216 (sqrt (/ 1 (pow a 5))))))))
(*.f64 (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/216 binary64) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/1296 (sqrt (/ 1 (pow a 7)))) (* 1/216 (sqrt (/ 1 (pow a 5)))))))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/216 binary64) (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))))) (-.f64 #s(literal 0 binary64) a))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal -1/3 binary64))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1 binary64))) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(*.f64 a (fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand (/.f64 #s(literal -1 binary64) a)) #s(literal 1 binary64)))
(* 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) (fma.f64 rand (fma.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 #s(literal 1 binary64) (fma.f64 rand (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.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))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(*.f64 a (fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand (/.f64 #s(literal -1 binary64) a)) #s(literal 1 binary64)))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/18 binary64)) #s(literal -1/3 binary64)) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/216 binary64) (*.f64 (sqrt.f64 a) #s(literal -1/18 binary64)))) a)) a)) (-.f64 #s(literal 0 binary64) a))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.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)
(fma.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)
(fma.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 (fma.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 (fma.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 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)))
(* 1/3 (sqrt -3))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))
(fma.f64 a (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 a (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))
(+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 a (+.f64 (/.f64 (*.f64 #s(literal -135/16 binary64) a) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(fma.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)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.f64 #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)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64)))))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(fma.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)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (* 1/3 (sqrt (/ 1 a)))))
(fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/54 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* -1 (/ (+ (* 1/54 (sqrt a)) (* 1/6 (* (sqrt (/ 1 a)) (+ 1/27 (* -1/36 a))))) (pow a 3))) (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(-.f64 (fma.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 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) (*.f64 (sqrt.f64 a) #s(literal 1/54 binary64))) (*.f64 a (*.f64 a a))))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.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)
(fma.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)
(fma.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 (fma.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 (fma.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 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.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))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal -1/3 binary64))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1 binary64))) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(*.f64 a (fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand (/.f64 #s(literal -1 binary64) a)) #s(literal 1 binary64)))
(* 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) (fma.f64 rand (fma.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 #s(literal 1 binary64) (fma.f64 rand (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.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))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(*.f64 a (fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand (/.f64 #s(literal -1 binary64) a)) #s(literal 1 binary64)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/18 binary64)) #s(literal -1/3 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/216 binary64) (*.f64 (sqrt.f64 a) #s(literal -1/18 binary64)))) a)) a)) (-.f64 #s(literal 0 binary64) a))
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.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.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 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 (fma.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))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(*.f64 a (+.f64 (fma.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)))) #s(literal -1/6 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.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))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.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)))))))
(* -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 #s(literal 0 binary64) (*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) #s(literal 1 binary64))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) #s(literal 1 binary64))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(-.f64 #s(literal 0 binary64) (fma.f64 rand (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))) #s(literal -1 binary64)))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(-.f64 #s(literal 0 binary64) (fma.f64 rand (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))) #s(literal -1 binary64)))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(-.f64 #s(literal 0 binary64) (fma.f64 rand (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))) #s(literal -1 binary64)))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 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)))))))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))
(fma.f64 a (fma.f64 a (fma.f64 rand (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 rand #s(literal 405/8 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.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))) #s(literal 1 binary64))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.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)))) #s(literal 1 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))))))
(fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64))) (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.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 1 binary64))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/54 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 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 (fma.f64 rand (fma.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 1 binary64)) (/.f64 (*.f64 rand (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) (*.f64 (sqrt.f64 a) #s(literal 1/54 binary64)))) (*.f64 a (*.f64 a a))))
(* a (+ 1 (* 1/3 (* rand (sqrt -3)))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))))
(*.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64))))
(* a (+ 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 a (fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))))
(* a (+ 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 a (fma.f64 a (fma.f64 a (fma.f64 rand (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 rand #s(literal 405/8 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (fma.f64 rand (fma.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))) #s(literal 1 binary64)))
(* a (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 a (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.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)))) #s(literal 1 binary64)))
(* a (+ 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 a (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64))) (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 rand (fma.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 0 binary64) a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 rand (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64)))))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a))))) (* -1/54 (* (sqrt a) rand))) (pow a 3))) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))))
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 rand (fma.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 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/6 binary64)) (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) (*.f64 (sqrt.f64 a) #s(literal -1/54 binary64)))) (*.f64 a (*.f64 a a))))) (-.f64 #s(literal 0 binary64) a))
a
(+ a (* 1/3 (* (* a rand) (sqrt (/ 1 (- a 1/3))))))
(*.f64 a (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) #s(literal 1 binary64)))
(+ a (* 1/3 (* (* a rand) (sqrt (/ 1 (- a 1/3))))))
(*.f64 a (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) #s(literal 1 binary64)))
(+ a (* 1/3 (* (* a rand) (sqrt (/ 1 (- a 1/3))))))
(*.f64 a (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) #s(literal 1 binary64)))
(* 1/3 (* (* a 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) (*.f64 a rand)))
(* rand (+ (* 1/3 (* a (sqrt (/ 1 (- a 1/3))))) (/ a rand)))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) a) (/.f64 a rand)))
(* rand (+ (* 1/3 (* a (sqrt (/ 1 (- a 1/3))))) (/ a rand)))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) a) (/.f64 a rand)))
(* rand (+ (* 1/3 (* a (sqrt (/ 1 (- a 1/3))))) (/ a rand)))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) a) (/.f64 a rand)))
(* 1/3 (* (* a 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) (*.f64 a rand)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (* a (sqrt (/ 1 (- a 1/3))))))))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) a) (/.f64 a rand)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (* a (sqrt (/ 1 (- a 1/3))))))))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) a) (/.f64 a rand)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (* a (sqrt (/ 1 (- a 1/3))))))))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) a) (/.f64 a rand)))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 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))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 a rand) #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))))))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (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))))))))
(fma.f64 a (fma.f64 a (fma.f64 rand (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 rand #s(literal 405/8 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (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 (fma.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 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.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)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.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 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 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 (fma.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 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/54 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(+ (* -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 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (/.f64 (*.f64 rand (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) (*.f64 (sqrt.f64 a) #s(literal 1/54 binary64)))) (*.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)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.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)
(fma.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)
(fma.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 (fma.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 (fma.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 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.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))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal -1/3 binary64))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1 binary64))) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(*.f64 a (fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand (/.f64 #s(literal -1 binary64) a)) #s(literal 1 binary64)))
(* 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) (fma.f64 rand (fma.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 #s(literal 1 binary64) (fma.f64 rand (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.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))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(*.f64 a (fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand (/.f64 #s(literal -1 binary64) a)) #s(literal 1 binary64)))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/18 binary64)) #s(literal -1/3 binary64)) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/216 binary64) (*.f64 (sqrt.f64 a) #s(literal -1/18 binary64)))) a)) a)) (-.f64 #s(literal 0 binary64) a))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* 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))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 a rand) #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))))))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (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))))))))
(fma.f64 a (fma.f64 a (fma.f64 rand (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 rand #s(literal 405/8 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (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 (fma.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 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.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)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.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 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 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 (fma.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 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/54 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(+ (* -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 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (/.f64 (*.f64 rand (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) (*.f64 (sqrt.f64 a) #s(literal 1/54 binary64)))) (*.f64 a (*.f64 a a))))
(* 3 (sqrt -1/3))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/2 binary64)))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (/.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 3/16 binary64) (/.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 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 (fma.f64 #s(literal 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 -1/2 binary64))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(*.f64 a (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 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 -1/2 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(*.f64 (fma.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))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.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)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64) (fma.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))))) (-.f64 #s(literal 0 binary64) a))

eval259.0ms (2.1%)

Memory
-12.9MiB live, 524.7MiB allocated
Compiler

Compiled 50 499 to 3 282 computations (93.5% saved)

prune210.0ms (1.7%)

Memory
32.3MiB live, 382.6MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New2 030112 041
Fresh415
Picked415
Done000
Total2 038132 051
Accuracy
100.0%
Counts
2 051 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
98.0%
(fma.f64 (/.f64 a (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) a)
99.8%
(fma.f64 (*.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)))) rand (+.f64 a #s(literal -1/3 binary64)))
▶99.5%
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
99.2%
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand (+.f64 a #s(literal -1/3 binary64)))
▶99.2%
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) (+.f64 a #s(literal -1/3 binary64)))
▶36.8%
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
✓64.0%
(+.f64 a #s(literal -1/3 binary64))
36.2%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
98.0%
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
98.0%
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))))
62.9%
a
▶1.4%
#s(literal -1/3 binary64)
Compiler

Compiled 269 to 188 computations (30.1% saved)

simplify8.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff0
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)
✓cost-diff0
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) rand)
✓cost-diff0
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff0
(+.f64 a #s(literal 1/3 binary64))
✓cost-diff0
(fma.f64 a a #s(literal -1/9 binary64))
✓cost-diff0
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff0
(/.f64 rand #s(literal 3 binary64))
✓cost-diff0
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
Rules
98×accelerator-lowering-fma.f32
98×accelerator-lowering-fma.f64
72×+-lowering-+.f64
72×+-lowering-+.f32
54×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02298
14598
28198
39198
09193
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (/ rand 3) (sqrt (+ a -1/3))) (+ a -1/3))
(/ rand 3)
rand
3
(sqrt (+ a -1/3))
(+ a -1/3)
a
-1/3
-1/3
(/ (+ (* a a) -1/9) (+ a 1/3))
(+ (* a a) -1/9)
a
-1/9
(+ a 1/3)
1/3
(+ (* (* 1/3 rand) (sqrt a)) (+ a -1/3))
(* 1/3 rand)
1/3
rand
(sqrt a)
a
(+ a -1/3)
-1/3
(+ (* (* (sqrt (+ a -1/3)) rand) 1/3) (+ a -1/3))
(* (sqrt (+ a -1/3)) rand)
(sqrt (+ a -1/3))
(+ a -1/3)
a
-1/3
rand
1/3
Outputs
(+ (* (/ rand 3) (sqrt (+ a -1/3))) (+ a -1/3))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(/ rand 3)
(/.f64 rand #s(literal 3 binary64))
rand
3
#s(literal 3 binary64)
(sqrt (+ a -1/3))
(sqrt.f64 (+.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)
-1/3
#s(literal -1/3 binary64)
(/ (+ (* a a) -1/9) (+ a 1/3))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(+ (* a a) -1/9)
(fma.f64 a a #s(literal -1/9 binary64))
a
-1/9
#s(literal -1/9 binary64)
(+ a 1/3)
(+.f64 a #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(+ (* (* 1/3 rand) (sqrt a)) (+ a -1/3))
(+.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
rand
(sqrt a)
(sqrt.f64 a)
a
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(+ (* (* (sqrt (+ a -1/3)) rand) 1/3) (+ a -1/3))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(* (sqrt (+ a -1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(sqrt (+ a -1/3))
(sqrt.f64 (+.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)
rand
1/3
#s(literal 1/3 binary64)

localize88.0ms (0.7%)

Memory
-13.8MiB live, 153.7MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.7%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)
✓accuracy99.5%
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.9%
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) rand)
✓accuracy100.0%
(fma.f64 a a #s(literal -1/9 binary64))
✓accuracy100.0%
(+.f64 a #s(literal 1/3 binary64))
✓accuracy51.2%
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
✓accuracy100.0%
(/.f64 rand #s(literal 3 binary64))
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.9%
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
Samples
59.0ms256×0valid
Compiler

Compiled 95 to 24 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
const: 17.0ms (40.8% of total)
ival-mult: 9.0ms (21.6% of total)
ival-add: 7.0ms (16.8% of total)
ival-div: 4.0ms (9.6% of total)
ival-sqrt: 4.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory
-10.4MiB live, 25.9MiB allocated
Counts
12 → 192
Calls
Call 1
Inputs
#<alt (+ (* (/ rand 3) (sqrt (+ a -1/3))) (+ a -1/3))>
#<alt (/ rand 3)>
#<alt (sqrt (+ a -1/3))>
#<alt (+ a -1/3)>
#<alt (/ (+ (* a a) -1/9) (+ a 1/3))>
#<alt (+ (* a a) -1/9)>
#<alt (+ a 1/3)>
#<alt (+ (* (* 1/3 rand) (sqrt a)) (+ a -1/3))>
#<alt (* 1/3 rand)>
#<alt (sqrt a)>
#<alt (+ (* (* (sqrt (+ a -1/3)) rand) 1/3) (+ a -1/3))>
#<alt (* (sqrt (+ a -1/3)) rand)>
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 (* 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))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt -1/9>
#<alt (- (pow a 2) 1/9)>
#<alt (- (pow a 2) 1/9)>
#<alt (- (pow a 2) 1/9)>
#<alt (pow a 2)>
#<alt (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))>
#<alt 1/3>
#<alt (+ 1/3 a)>
#<alt (+ 1/3 a)>
#<alt (+ 1/3 a)>
#<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 (* a (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* a (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* a (+ 1 (* 1/3 (/ 1 a))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))>
#<alt (- (* 1/3 (* (sqrt a) rand)) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 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 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (* 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 (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (- (* 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 (* rand (sqrt -1/3))>
#<alt (+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))>
#<alt (* (sqrt a) rand)>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
Calls

48 calls:

TimeVariablePointExpression
5.0ms
a
@inf
(+ (* (* 1/3 rand) (sqrt a)) (+ a -1/3))
5.0ms
a
@-inf
(+ (* (* 1/3 rand) (sqrt a)) (+ a -1/3))
2.0ms
a
@-inf
(* (sqrt (+ a -1/3)) rand)
0.0ms
rand
@0
(+ (* (* 1/3 rand) (sqrt a)) (+ a -1/3))
0.0ms
a
@inf
(* (sqrt (+ a -1/3)) rand)

rewrite555.0ms (4.5%)

Memory
-33.2MiB live, 756.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 880×/-lowering-/.f32
4 880×/-lowering-/.f64
4 054×accelerator-lowering-fma.f32
4 054×accelerator-lowering-fma.f64
3 682×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02266
113766
298266
0819362
Stop Event
1×iter limit
1×node limit
Counts
12 → 1 208
Calls
Call 1
Inputs
(+ (* (/ rand 3) (sqrt (+ a -1/3))) (+ a -1/3))
(/ rand 3)
(sqrt (+ a -1/3))
(+ a -1/3)
(/ (+ (* a a) -1/9) (+ a 1/3))
(+ (* a a) -1/9)
(+ a 1/3)
(+ (* (* 1/3 rand) (sqrt a)) (+ a -1/3))
(* 1/3 rand)
(sqrt a)
(+ (* (* (sqrt (+ a -1/3)) rand) 1/3) (+ a -1/3))
(* (sqrt (+ a -1/3)) rand)
Outputs
(+.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a)
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a)) (-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))))
(fma.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (neg.f64 a))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 a a #s(literal 1/9 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1/81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1/729 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1/729 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1/81 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 3 binary64) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 3 binary64) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (fma.f64 (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 #s(literal 3 binary64) (fma.f64 a a #s(literal -1/9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64)) (-.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 3 binary64) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))
(/.f64 (fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 3 binary64) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 #s(literal 3 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 #s(literal 3 binary64) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))))
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(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a)) (-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))))
(fma.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (neg.f64 a))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 a a #s(literal 1/9 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1/81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1/729 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1/729 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1/81 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 3 binary64) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 3 binary64) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (fma.f64 (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 #s(literal 3 binary64) (fma.f64 a a #s(literal -1/9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64)) (-.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 3 binary64) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))
(/.f64 (fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 3 binary64) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 #s(literal 3 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 #s(literal 3 binary64) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))))
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(/.f64 (fma.f64 a (*.f64 a a) (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))) (*.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a)))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a)) (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (*.f64 a (*.f64 a a))) (fma.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) (-.f64 (*.f64 a a) (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64)))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))))))
(*.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)

simplify802.0ms (6.5%)

Memory
25.1MiB live, 976.3MiB allocated
Algorithm
1×egg-herbie
Rules
16 880×accelerator-lowering-fma.f32
16 880×accelerator-lowering-fma.f64
5 274×*-lowering-*.f32
5 274×*-lowering-*.f64
4 196×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02642127
17911911
227151861
361501846
081521710
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
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)))
(* 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))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
-1/9
(- (pow a 2) 1/9)
(- (pow a 2) 1/9)
(- (pow a 2) 1/9)
(pow a 2)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(pow a 2)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
1/3
(+ 1/3 a)
(+ 1/3 a)
(+ 1/3 a)
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(- a 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(* 1/3 (* (sqrt a) rand))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(- (* 1/3 (* (sqrt a) rand)) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (* 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 (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(- (* 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))))))
(* rand (sqrt -1/3))
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))
(* (sqrt a) rand)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
Outputs
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.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)
(fma.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)
(fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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)
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(fma.f64 a (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (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)
(fma.f64 a (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/8 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(fma.f64 a (fma.f64 a (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 rand #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 rand (fma.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 1 binary64)) #s(literal -1/3 binary64))
(* 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))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(-.f64 #s(literal -1/3 binary64) (*.f64 a (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 a (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1/18 binary64) #s(literal -1/3 binary64)) (-.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 #s(literal 0 binary64) (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/216 binary64) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)))) a)) (*.f64 a (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) #s(literal -1 binary64)))))
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.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))))
(fma.f64 a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (fma.f64 a (/.f64 #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)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 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 (fma.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))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 (fma.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 (+ (* -1/72 (* (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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.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 (+ (* -1/72 (* (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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (*.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (-.f64 #s(literal 0 binary64) a))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow a 2) 1/9)
(fma.f64 a a #s(literal -1/9 binary64))
(- (pow a 2) 1/9)
(fma.f64 a a #s(literal -1/9 binary64))
(- (pow a 2) 1/9)
(fma.f64 a a #s(literal -1/9 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(*.f64 a (fma.f64 a (/.f64 #s(literal -1/9 binary64) (*.f64 a a)) a))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(*.f64 a (fma.f64 a (/.f64 #s(literal -1/9 binary64) (*.f64 a a)) a))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(*.f64 a (fma.f64 a (/.f64 #s(literal -1/9 binary64) (*.f64 a a)) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(*.f64 a (fma.f64 a (/.f64 #s(literal -1/9 binary64) (*.f64 a a)) a))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(*.f64 a (fma.f64 a (/.f64 #s(literal -1/9 binary64) (*.f64 a a)) a))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(*.f64 a (fma.f64 a (/.f64 #s(literal -1/9 binary64) (*.f64 a a)) a))
1/3
#s(literal 1/3 binary64)
(+ 1/3 a)
(+.f64 a #s(literal 1/3 binary64))
(+ 1/3 a)
(+.f64 a #s(literal 1/3 binary64))
(+ 1/3 a)
(+.f64 a #s(literal 1/3 binary64))
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal 1/3 binary64))
(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal 1/3 binary64))
(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal 1/3 binary64))
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal 1/3 binary64))
(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal 1/3 binary64))
(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal 1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(- (* 1/3 (* (sqrt a) rand)) 1/3)
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) #s(literal -1/3 binary64))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(-.f64 #s(literal -1/3 binary64) (*.f64 a (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(-.f64 #s(literal -1/3 binary64) (*.f64 a (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(-.f64 #s(literal -1/3 binary64) (*.f64 a (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(fma.f64 a (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (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)
(fma.f64 a (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/8 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(fma.f64 a (fma.f64 a (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 rand #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 rand (fma.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 1 binary64)) #s(literal -1/3 binary64))
(* 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))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(-.f64 #s(literal -1/3 binary64) (*.f64 a (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 a (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1/18 binary64) #s(literal -1/3 binary64)) (-.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 #s(literal 0 binary64) (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/216 binary64) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)))) a)) (*.f64 a (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) #s(literal -1 binary64)))))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.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)
(fma.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)
(fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (sqrt -1/3))
(*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a #s(literal 1/2 binary64)) (*.f64 rand (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)))
(fma.f64 a (fma.f64 a (*.f64 rand (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 rand (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)))
(fma.f64 a (fma.f64 a (fma.f64 rand (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 a rand) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 rand (sqrt.f64 #s(literal -1/3 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 (fma.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)))))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(*.f64 a (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* 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 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -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 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* 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 #s(literal 0 binary64) (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* 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 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (fma.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))) (fma.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)))))))
(* 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))))

eval276.0ms (2.2%)

Memory
2.6MiB live, 511.6MiB allocated
Compiler

Compiled 51 101 to 3 118 computations (93.9% saved)

prune231.0ms (1.9%)

Memory
-7.6MiB live, 443.3MiB allocated
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1 80161 807
Fresh257
Picked415
Done011
Total1 807131 820
Accuracy
100.0%
Counts
1 820 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) a)
98.0%
(fma.f64 (/.f64 a (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) a)
99.8%
(fma.f64 (*.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)))) rand (+.f64 a #s(literal -1/3 binary64)))
99.2%
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (+.f64 a #s(literal -1/3 binary64)))
98.0%
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) a)
99.9%
(fma.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
11.5%
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
✓64.0%
(+.f64 a #s(literal -1/3 binary64))
36.2%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
98.0%
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
35.3%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
62.9%
a
✓1.4%
#s(literal -1/3 binary64)
Compiler

Compiled 617 to 213 computations (65.5% saved)

regimes47.0ms (0.4%)

Memory
18.9MiB live, 96.6MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) a)
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) a)
(fma.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
(fma.f64 (/.f64 a (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) a)
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand)))
(fma.f64 (*.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)))) rand (+.f64 a #s(literal -1/3 binary64)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)) rand)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) rand)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)) rand)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 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 (fma.f64 (/.f64 a (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 a (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) a)))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Outputs
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)) rand)))
Calls

4 calls:

13.0ms
rand
12.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
10.0ms
a
10.0ms
(*.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
AccuracySegmentsBranch
99.9%1a
99.9%1rand
99.9%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
99.9%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes42.0ms (0.3%)

Memory
-19.4MiB live, 93.2MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) a)
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) a)
(fma.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
(fma.f64 (/.f64 a (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) a)
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand)))
(fma.f64 (*.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)))) rand (+.f64 a #s(literal -1/3 binary64)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)) rand)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) rand)))
Outputs
(fma.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
Calls

4 calls:

12.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
11.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
10.0ms
a
9.0ms
rand
Results
AccuracySegmentsBranch
99.9%1a
99.9%1rand
99.9%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
99.9%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes23.0ms (0.2%)

Memory
5.2MiB live, 48.1MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) a)
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) a)
Outputs
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
Calls

4 calls:

8.0ms
rand
5.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
5.0ms
(*.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)))
5.0ms
a
Results
AccuracySegmentsBranch
99.9%1a
99.9%1rand
99.9%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
99.9%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes17.0ms (0.1%)

Memory
5.3MiB live, 43.7MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) a)
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (+.f64 a #s(literal -1/3 binary64)))
Outputs
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) (+.f64 a #s(literal -1/3 binary64)))
Calls

4 calls:

5.0ms
rand
4.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
4.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
4.0ms
a
Results
AccuracySegmentsBranch
99.2%1a
99.2%1rand
99.2%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)))
99.2%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes16.0ms (0.1%)

Memory
0.7MiB live, 36.9MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) a)
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
Outputs
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) a)
Calls

4 calls:

5.0ms
rand
3.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
3.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
3.0ms
a
Results
AccuracySegmentsBranch
98.0%1a
98.0%1rand
98.0%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
98.0%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes164.0ms (1.3%)

Memory
-3.5MiB live, 36.0MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
Outputs
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(+.f64 a #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
Calls

4 calls:

155.0ms
rand
3.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
3.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
3.0ms
a
Results
AccuracySegmentsBranch
64.0%1a
92.1%3rand
85.1%3(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
64.0%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes5.0ms (0%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
Outputs
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
Calls

2 calls:

2.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
2.0ms
rand
Results
AccuracySegmentsBranch
69.5%2(*.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)))
69.6%2rand
Compiler

Compiled 25 to 15 computations (40% saved)

regimes75.0ms (0.6%)

Memory
-65.6MiB live, 13.7MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
Outputs
(+.f64 a #s(literal -1/3 binary64))
Calls

2 calls:

2.0ms
rand
2.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Results
AccuracySegmentsBranch
64.0%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)))
64.0%1rand
Compiler

Compiled 25 to 15 computations (40% saved)

regimes7.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
Outputs
a
Calls

4 calls:

2.0ms
rand
2.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
2.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
2.0ms
a
Results
AccuracySegmentsBranch
62.9%1a
62.9%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
62.9%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
62.9%1rand
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes6.0ms (0%)

Memory
9.4MiB live, 9.4MiB allocated
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

4 calls:

1.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
1.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms
a
1.0ms
rand
Results
AccuracySegmentsBranch
1.4%1a
1.4%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.4%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)))
1.4%1rand
Compiler

Compiled 35 to 23 computations (34.3% saved)

bsearch68.0ms (0.5%)

Memory
-15.5MiB live, 56.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2.6337825241375544e+60
4.734630958017292e+65
35.0ms
-1.6119694589128056e+138
-1.771263530083479e+124
Samples
40.0ms304×0valid
Compiler

Compiled 310 to 246 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 5.0ms (33.6% of total)
ival-div: 4.0ms (26.9% of total)
ival-sqrt: 2.0ms (13.5% of total)
ival-sub: 1.0ms (6.7% of total)
ival-add: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory
28.0MiB live, 28.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
3.675136696647005e+154
2.767678715190172e+156
Samples
8.0ms112×0valid
Compiler

Compiled 130 to 102 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (35.5% of total)
ival-mult: 2.0ms (35.5% of total)
ival-sub: 1.0ms (17.7% of total)
ival-sqrt: 1.0ms (17.7% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Memory
-13.3MiB live, 24.3MiB allocated
Algorithm
1×egg-herbie
Rules
16×*-commutative_binary64
16×neg-mul-1_binary64
14×unsub-neg_binary64
12×+-commutative_binary64
8×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03792
15292
26092
36692
47392
58592
610192
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)) rand)))
(fma.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) a)
(if (<=.f64 rand #s(literal -17999999999999999305211632318545180574858642758041459971097181194384859397605746507875469919821081937363260599181036430032896 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 330000000000000023112256283759883068099948257397541648650788143104 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal 37999999999999998129162179959926202498241534533208986133540043785391813501237193041134373293154868305810346568078363145222863263535487638516474433417248768 binary64)) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64)))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
Outputs
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)) rand)))
(*.f64 (+.f64 a (/.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)) rand)))
(fma.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) a)
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
(if (<=.f64 rand #s(literal -17999999999999999305211632318545180574858642758041459971097181194384859397605746507875469919821081937363260599181036430032896 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 330000000000000023112256283759883068099948257397541648650788143104 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal 37999999999999998129162179959926202498241534533208986133540043785391813501237193041134373293154868305810346568078363145222863263535487638516474433417248768 binary64)) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64)))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)

soundness1.1s (8.8%)

Memory
53.9MiB live, 1 139.7MiB allocated
Rules
16 880×accelerator-lowering-fma.f32
16 880×accelerator-lowering-fma.f64
12 444×accelerator-lowering-fma.f32
12 444×accelerator-lowering-fma.f64
11 744×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023121
1147115
21520105
08816100
06047476
118696331
267116233
082245718
02266
113766
298266
0819362
01233
14829
224729
3164429
0840126
02642127
17911911
227151861
361501846
081521710
04884305
115253959
251833905
081053608
040199
1238176
22202168
08727157
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 263 to 166 computations (36.9% saved)

preprocess124.0ms (1%)

Memory
-17.5MiB live, 202.3MiB allocated
Compiler

Compiled 242 to 102 computations (57.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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