Octave 3.8, oct_fill_randg

Time bar (total: 10.0s)

analyze17.0ms (0.2%)

Memory
-10.1MiB live, 27.8MiB allocated
Algorithm
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)

sample1.5s (15.4%)

Memory
-168.1MiB live, 1 923.1MiB allocated
Samples
1.0s8 256×0valid
34.0ms478×0invalid
Precisions
Click to see histograms. Total time spent on operations: 806.0ms
ival-mult: 409.0ms (50.7% of total)
ival-div: 165.0ms (20.5% of total)
ival-sqrt: 114.0ms (14.1% of total)
ival-add: 50.0ms (6.2% of total)
ival-sub: 47.0ms (5.8% of total)
exact: 12.0ms (1.5% of total)
ival-true: 7.0ms (0.9% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

preprocess277.0ms (2.8%)

Memory
32.7MiB live, 189.3MiB allocated
Algorithm
egg-herbie
Rules
2 560×lower-fma.f64
2 560×lower-fma.f32
1 326×unsub-neg
910×sub-neg
784×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03288
19476
233070
3119170
4328570
5497670
6649170
7687470
8709770
9724570
10725270
11748770
12753170
13778170
01316
02216
13914
28614
318614
437814
560114
683714
7142014
8247214
9292514
10308014
11323314
12332814
13333414
0333413
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Outputs
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))

explain284.0ms (2.8%)

Memory
-22.3MiB live, 327.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
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-(*.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)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))oflow-rescue10
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))overflow1
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
93.0ms484×0valid
9.0ms12×1valid
4.0ms16×2valid
Compiler

Compiled 216 to 56 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-div: 64.0ms (73.6% of total)
ival-mult: 11.0ms (12.6% of total)
ival-sqrt: 4.0ms (4.6% of total)
ival-sub: 3.0ms (3.4% of total)
ival-add: 3.0ms (3.4% of total)
adjust: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% 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
99.5%
(*.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)

simplify133.0ms (1.3%)

Memory
-6.4MiB live, 119.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
cost-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×lower-fma.f64
2 560×lower-fma.f32
768×lower-*.f32
762×lower-*.f64
614×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01366
02266
13960
28660
318660
437860
560160
683760
7142060
8247260
9292560
10308060
11323360
12332860
13333460
0333454
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.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 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
a
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
#s(literal 9 binary64)
rand
Outputs
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(+.f64 a #s(literal -1/3 binary64))
a
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#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 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 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 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
(sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
#s(literal 9 binary64)
rand

localize67.0ms (0.7%)

Memory
2.3MiB live, 81.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.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)))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
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))))))
accuracy99.4%
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
Samples
22.0ms242×0valid
2.0ms2valid
1.0ms1valid
Compiler

Compiled 86 to 15 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 5.0ms (31.7% of total)
ival-mult: 5.0ms (31.7% of total)
ival-sqrt: 2.0ms (12.7% of total)
ival-sub: 1.0ms (6.3% of total)
ival-add: 1.0ms (6.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
19.9MiB live, 19.9MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))>
#<alt (*.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)>
#<alt (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))>
#<alt (*.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)))>
#<alt (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))>
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 (+ 1 (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))>
#<alt (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* 3 (sqrt -1/3))>
#<alt (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))>
#<alt (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))>
#<alt (* 3 (sqrt a))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))>
#<alt (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))>
#<alt (* 1/3 (sqrt -3))>
#<alt (+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))>
#<alt (+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))>
#<alt (+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))>
#<alt (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))>
#<alt (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))>
#<alt (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))>
#<alt (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))>
Calls

21 calls:

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

simplify500.0ms (5%)

Memory
-15.8MiB live, 657.7MiB allocated
Algorithm
egg-herbie
Rules
13 334×lower-fma.f64
13 334×lower-fma.f32
5 788×lower-*.f64
5 788×lower-*.f32
5 386×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03331781
110131561
233771491
379291491
083251388
Stop Event
iter limit
node limit
Counts
84 → 84
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 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* 3 (sqrt -1/3))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(* 3 (sqrt a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
(* 1/3 (sqrt -3))
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))
(* 1/3 (sqrt (/ 1 a)))
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
Outputs
(* 1/3 (* rand (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) (/.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 rand (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -27/8 binary64) rand) a) (sqrt.f64 #s(literal -3 binary64))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 #s(literal 405/8 binary64) (*.f64 rand (/.f64 a (sqrt.f64 #s(literal -3 binary64)))) (*.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) a) (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (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))))
(*.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 1/3 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)))) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (*.f64 rand (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)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (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))))
(+ (* -1/6 (* (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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -9 binary64))))) (neg.f64 (*.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))))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #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 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #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 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) a)) (fma.f64 a (*.f64 #s(literal 9/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)))) (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #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 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) a)) (fma.f64 a (fma.f64 a (*.f64 rand (/.f64 #s(literal 45/16 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (*.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (+.f64 #s(literal 1/18 binary64) (*.f64 #s(literal -1/6 binary64) a)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))) (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 a (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)))))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) a) #s(literal 1 binary64))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(*.f64 a (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)))))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) a) #s(literal 1 binary64))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (/.f64 a (sqrt.f64 #s(literal -9 binary64))) a)
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(neg.f64 (*.f64 a (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a) (fma.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(*.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/2 binary64) #s(literal -1/3 binary64)) a)))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(*.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sqrt.f64 a) (/.f64 (*.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -9 binary64))) #s(literal 0 binary64)) (neg.f64 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)))
(* 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) a)) #s(literal 3 binary64) (*.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 (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) a)) #s(literal 3 binary64) (*.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 (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) (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)) (neg.f64 (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 (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)))) (neg.f64 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)))))))
(neg.f64 (*.f64 a (*.f64 (*.f64 (sqrt.f64 #s(literal -1 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 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 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))))) (neg.f64 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 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal -3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -3 binary64)))))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)) (*.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))))))
(+ (* 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 1/3 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 (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)) (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))))))))
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (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))))
(+ (* -1/6 (* (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 #s(literal 1/2 binary64) (*.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)))) (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (neg.f64 (*.f64 a (*.f64 a a)))))

rewrite300.0ms (3%)

Memory
23.3MiB live, 462.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 424×lower-fma.f64
4 424×lower-fma.f32
3 964×lower-*.f32
3 958×lower-*.f64
2 572×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01346
02246
17840
254640
3649340
0817336
Stop Event
iter limit
node limit
iter limit
Counts
6 → 428
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 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 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #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 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
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)))
(exp.f64 (*.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #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) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 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)))
(/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(/.f64 (neg.f64 rand) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 rand)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 rand #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (/.f64 rand (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (/.f64 (neg.f64 rand) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (/.f64 (neg.f64 rand) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) rand) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand)
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 1 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) (/.f64 (neg.f64 rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(*.f64 #s(literal -1/3 binary64) (/.f64 rand (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 rand (/.f64 #s(literal 1/3 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)))) (*.f64 rand #s(literal 1/3 binary64)))
(*.f64 (neg.f64 rand) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #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 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (neg.f64 (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 rand (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -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 rand #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (*.f64 rand (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 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 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))
(+.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64))
(exp.f64 (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64))))
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)) #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)) #s(literal -1/3 binary64)) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64)) (+.f64 #s(literal 1/3 binary64) a))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)) #s(literal -1/3 binary64))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64))) (+.f64 #s(literal -1/3 binary64) (neg.f64 a)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)) #s(literal -27 binary64)) (fma.f64 (*.f64 #s(literal 9 binary64) a) (*.f64 #s(literal 9 binary64) a) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) a) (*.f64 #s(literal 9 binary64) a)) #s(literal 9 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64)))
(/.f64 (*.f64 #s(literal 9 binary64) (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(/.f64 (*.f64 #s(literal 9 binary64) (neg.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (+.f64 #s(literal -1/3 binary64) (neg.f64 a)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) #s(literal 9 binary64)) (neg.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))) #s(literal 9 binary64)) (+.f64 #s(literal -1/3 binary64) (neg.f64 a)))
(pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)) #s(literal -1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 #s(literal 9 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))
(*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) #s(literal 9 binary64)))
(*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 9 binary64)))
(*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(*.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 9 binary64))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)) #s(literal -1/3 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)) (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (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 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)) #s(literal -1/3 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (-.f64 (*.f64 a a) (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(*.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))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) a)))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
(+.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a))
(+.f64 (+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (*.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(+.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a) #s(literal -1/3 binary64))
(+.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal -1/3 binary64)) a)
(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(-.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -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 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))) (/.f64 (*.f64 (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))))
(-.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a) #s(literal 1/3 binary64))
(-.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(-.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(fma.f64 #s(literal 1 binary64) a (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (fma.f64 #s(literal -1/9 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 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 #s(literal -1/9 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 (/.f64 #s(literal 1 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 #s(literal 1/3 binary64) (*.f64 (/.f64 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 a #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 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)))) (*.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 rand a) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) a (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) #s(literal -1/3 binary64) (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a))
(fma.f64 #s(literal -1 binary64) (*.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 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 rand (/.f64 rand (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) #s(literal -1/3 binary64)) (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 rand (/.f64 rand (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) a) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #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 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -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 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #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 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) a) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 #s(literal -1/9 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 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) #s(literal -1/3 binary64)) (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) a) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #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 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 rand (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -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 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 rand (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 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)) rand) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) a (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)) rand) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -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 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (neg.f64 a))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -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 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1 binary64) (fma.f64 #s(literal -1/9 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 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 rand #s(literal 1 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 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand #s(literal 1/3 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 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 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 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (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 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a))
(fma.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 rand (/.f64 rand (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
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eval68.0ms (0.7%)

Memory
7.8MiB live, 163.2MiB allocated
Compiler

Compiled 14 408 to 1 936 computations (86.6% saved)

prune101.0ms (1%)

Memory
14.5MiB live, 130.3MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5049513
Fresh000
Picked101
Done000
Total5059514
Accuracy
100.0%
Counts
514 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
87.5%
(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)))
99.8%
(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)))
99.5%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
99.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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))))
98.3%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a))
59.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
41.6%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
79.7%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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))))
Compiler

Compiled 242 to 156 computations (35.5% saved)

simplify306.0ms (3.1%)

Memory
-26.8MiB live, 393.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 rand (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)) #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
cost-diff128
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
cost-diff0
(/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
cost-diff0
(+.f64 a #s(literal -1/3 binary64))
cost-diff2240
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
cost-diff0
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
cost-diff0
(+.f64 a #s(literal -1/3 binary64))
cost-diff0
(*.f64 #s(literal 1/3 binary64) rand)
cost-diff0
(+.f64 a #s(literal -1/3 binary64))
cost-diff0
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
cost-diff128
(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)))
Rules
9 212×lower-fma.f32
9 204×lower-fma.f64
2 636×lower-*.f32
2 628×lower-*.f64
1 390×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035195
055198
1104186
2256185
3570185
41331185
52415185
64052185
75594185
86533185
97266185
107893185
08025182
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
(*.f64 #s(literal 1/3 binary64) rand)
#s(literal 1/3 binary64)
rand
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
a
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 #s(literal 1/3 binary64) rand)
#s(literal 1/3 binary64)
rand
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
#s(literal 1 binary64)
(/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
rand
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
(fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))
#s(literal 9 binary64)
#s(literal -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)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
#s(literal 1/3 binary64)
(/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
rand
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 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)))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64)) a)
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
(*.f64 #s(literal 1/3 binary64) rand)
#s(literal 1/3 binary64)
rand
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 a (*.f64 #s(literal 1/3 binary64) rand)) a)
a
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 #s(literal 1/3 binary64) rand)
#s(literal 1/3 binary64)
rand
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
#s(literal 1 binary64)
(/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
rand
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
(sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
(fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
#s(literal 9 binary64)
#s(literal -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)))
(*.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)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
(fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
#s(literal 1/3 binary64)
(/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
rand
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))

localize183.0ms (1.8%)

Memory
16.4MiB live, 245.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
accuracy99.9%
(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)))
accuracy99.6%
(/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
accuracy99.4%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
accuracy99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
accuracy99.6%
(/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
accuracy99.4%
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
accuracy99.9%
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
accuracy99.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
accuracy99.5%
(*.f64 #s(literal 1/3 binary64) rand)
accuracy100.0%
(+.f64 a #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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
accuracy99.5%
(*.f64 #s(literal 1/3 binary64) rand)
Samples
78.0ms242×0valid
25.0ms2valid
3.0ms1valid
Compiler

Compiled 217 to 38 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 36.0ms (41.7% of total)
ival-div: 25.0ms (29% of total)
ival-add: 9.0ms (10.4% of total)
ival-sqrt: 7.0ms (8.1% of total)
const: 7.0ms (8.1% of total)
adjust: 1.0ms (1.2% of total)
ival-sub: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory
4.1MiB live, 82.4MiB allocated
Counts
15 → 276
Calls
Call 1
Inputs
#<alt (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)))>
#<alt (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))>
#<alt (+.f64 a #s(literal -1/3 binary64))>
#<alt (*.f64 #s(literal 1/3 binary64) rand)>
#<alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) a))>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))>
#<alt (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))>
#<alt (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64))>
#<alt (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)))>
#<alt (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))>
#<alt (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))>
Outputs
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt a>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (* -1/3 (+ 1 (* rand (sqrt -1/3))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt 1>
#<alt (+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))>
#<alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))>
#<alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))>
#<alt (+ 1 (* rand (sqrt -1/3)))>
#<alt (+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))>
#<alt (+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))>
#<alt (+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))>
#<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)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a)))))))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt -1/3))>
#<alt (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))>
#<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)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))>
#<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)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt -1/9>
#<alt (- (* 1/3 a) 1/9)>
#<alt (- (* 1/3 a) 1/9)>
#<alt (- (* 1/3 a) 1/9)>
#<alt (* 1/3 a)>
#<alt (* a (- 1/3 (* 1/9 (/ 1 a))))>
#<alt (* a (- 1/3 (* 1/9 (/ 1 a))))>
#<alt (* a (- 1/3 (* 1/9 (/ 1 a))))>
#<alt (* 1/3 a)>
#<alt (* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))>
#<alt (* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))>
#<alt (* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))>
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt -3))>
#<alt (+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))>
#<alt (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))>
#<alt (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (sqrt -3)>
#<alt (+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))>
#<alt (+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))>
#<alt (+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -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

69 calls:

TimeVariablePointExpression
4.0ms
rand
@0
(+ (* (sqrt (+ a -1/3)) (* 1/3 rand)) (+ a -1/3))
3.0ms
a
@-inf
(* (+ a -1/3) (+ 1 (/ rand (sqrt (+ (* 9 a) -3)))))
2.0ms
rand
@0
(+ (* a (* (sqrt (/ 1 a)) (* 1/3 rand))) a)
2.0ms
a
@0
(* (+ a -1/3) (+ 1 (/ rand (sqrt (+ (* 9 a) -3)))))
1.0ms
rand
@0
(* (+ a -1/3) (+ 1 (/ rand (sqrt (+ (* 9 a) -3)))))

simplify504.0ms (5%)

Memory
3.2MiB live, 603.8MiB allocated
Algorithm
egg-herbie
Rules
11 904×lower-fma.f64
11 904×lower-fma.f32
5 690×lower-*.f64
5 690×lower-*.f32
3 728×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05334066
116453632
257303546
083293258
Stop Event
iter limit
node limit
Counts
276 → 273
Calls
Call 1
Inputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* -1/3 (+ 1 (* rand (sqrt -1/3))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))
(* 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 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
1
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(+ 1 (* rand (sqrt -1/3)))
(+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))
(+ 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)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a)))))))))
(+ 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)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt -1/3))
(+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))
(* 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)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))
(* 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)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
-1/9
(- (* 1/3 a) 1/9)
(- (* 1/3 a) 1/9)
(- (* 1/3 a) 1/9)
(* 1/3 a)
(* a (- 1/3 (* 1/9 (/ 1 a))))
(* a (- 1/3 (* 1/9 (/ 1 a))))
(* a (- 1/3 (* 1/9 (/ 1 a))))
(* 1/3 a)
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(- (* 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))))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt -3))
(+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))
(* (sqrt (/ 1 a)) rand)
(+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(* (sqrt (/ 1 a)) rand)
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(sqrt -3)
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -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 (* 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 #s(literal 1/6 binary64) (/.f64 rand (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 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #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 (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 1/48 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))) (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))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(*.f64 a (fma.f64 #s(literal 1/3 binary64) (fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.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 (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 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 (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)) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* -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 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1 binary64) a)) #s(literal 1 binary64)))
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#s(literal -1/3 binary64)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 (* (sqrt a) rand))
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a
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(* 1/3 (* (sqrt a) rand))
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(* 1/3 (* (sqrt a) rand))
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(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 a (*.f64 #s(literal 3/8 binary64) rand)) (sqrt.f64 #s(literal -1/3 binary64))))) a))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) a)) (*.f64 a (fma.f64 (*.f64 #s(literal 9/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 (*.f64 #s(literal 15/16 binary64) rand) a) (sqrt.f64 #s(literal -1/3 binary64))))))) a))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64))) (/.f64 (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #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 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) a) (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 0 binary64))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 rand) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) a)))) (neg.f64 a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(*.f64 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) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/6 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 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #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 #s(literal -1/3 binary64) a)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (*.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (*.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
1
#s(literal 1 binary64)
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(+ 1 (* rand (sqrt -1/3)))
(fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))
(fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))
(fma.f64 a (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 a (*.f64 rand (/.f64 #s(literal 45/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 9/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 3/2 binary64)) (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #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 -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64))
(+ 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 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (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 5 binary64)))) #s(literal -1/54 binary64)))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 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 -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64)) (/.f64 (*.f64 rand (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3/2 binary64)) (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)) (*.f64 (sqrt.f64 a) #s(literal 1/54 binary64)))) (*.f64 a (*.f64 a a))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt -1/3))
(*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))
(fma.f64 a (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 a (*.f64 rand (/.f64 #s(literal 45/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 9/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (*.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)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (*.f64 rand (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64))) #s(literal 3/2 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)))))
(+ (* -1/18 (* (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 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (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 5 binary64)))) #s(literal -1/54 binary64)))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 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 -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (/.f64 (*.f64 rand (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3/2 binary64)) (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)) (*.f64 (sqrt.f64 a) #s(literal 1/54 binary64)))) (*.f64 a (*.f64 a a))))
-1/9
#s(literal -1/9 binary64)
(- (* 1/3 a) 1/9)
(fma.f64 #s(literal 1/3 binary64) a #s(literal -1/9 binary64))
(- (* 1/3 a) 1/9)
(fma.f64 #s(literal 1/3 binary64) a #s(literal -1/9 binary64))
(- (* 1/3 a) 1/9)
(fma.f64 #s(literal 1/3 binary64) a #s(literal -1/9 binary64))
(* 1/3 a)
(*.f64 #s(literal 1/3 binary64) a)
(* a (- 1/3 (* 1/9 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(* a (- 1/3 (* 1/9 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(* a (- 1/3 (* 1/9 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(* 1/3 a)
(*.f64 #s(literal 1/3 binary64) a)
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(- (* 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 #s(literal 1/6 binary64) (/.f64 rand (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 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #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 (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 1/48 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))) (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))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(*.f64 a (fma.f64 #s(literal 1/3 binary64) (fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.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 (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 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 (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)) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(*.f64 a (fma.f64 #s(literal 1/3 binary64) (fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.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)))
(neg.f64 (*.f64 a (-.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))))
(* -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)))
(neg.f64 (*.f64 a (-.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 #s(literal -1/18 binary64) (sqrt.f64 a)))) a)) a))))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt -3))
(*.f64 rand (sqrt.f64 #s(literal -3 binary64)))
(+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))
(fma.f64 a (*.f64 #s(literal -9/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -81/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -9/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))
(fma.f64 a (fma.f64 #s(literal -9/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 a (*.f64 rand #s(literal 405/8 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(*.f64 rand (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))))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/18 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)))))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/18 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (*.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) #s(literal 1/2 binary64))))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(*.f64 rand (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))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))
(*.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 -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(-.f64 (*.f64 rand (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)))) (/.f64 (*.f64 rand (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64)) (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)))) (*.f64 a (*.f64 a a))))
(sqrt -3)
(sqrt.f64 #s(literal -3 binary64))
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(fma.f64 a (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 (/.f64 a (sqrt.f64 #s(literal -3 binary64))) #s(literal 27/8 binary64) (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 729/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 27/8 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)))
(* 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 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* 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) (*.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)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))))))
(*.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))) (neg.f64 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)))))))
(neg.f64 (*.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))))))
(* -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 (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) (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))))) (neg.f64 a))

rewrite510.0ms (5.1%)

Memory
-2.5MiB live, 631.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 040×lower-*.f32
5 032×lower-*.f64
3 954×lower-/.f32
3 948×lower-/.f64
3 166×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023107
043107
1179102
21437101
0815898
Stop Event
iter limit
node limit
iter limit
Counts
15 → 478
Calls
Call 1
Inputs
(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)))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+.f64 a #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #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 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #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)))
(/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
Outputs
(+.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))))
(+.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) a))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (+.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) 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)
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 #s(literal 1/3 binary64) rand))) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (+.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 #s(literal 1/3 binary64) rand)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 #s(literal 1/3 binary64) rand))) (-.f64 (+.f64 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 (+.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 (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 #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 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 (*.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 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 (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 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 (*.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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) 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 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 #s(literal 1/3 binary64) rand)) (*.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 #s(literal 1/3 binary64) rand))))) (fma.f64 (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)) (*.f64 (+.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 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 #s(literal 1/3 binary64) rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 #s(literal 1/3 binary64) rand)) (*.f64 (+.f64 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))))) (fma.f64 (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)) (*.f64 (+.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 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.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 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 #s(literal 1/3 binary64) rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)) (*.f64 (+.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 (+.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 #s(literal 1/3 binary64) rand) (*.f64 #s(literal 1/3 binary64) rand)) (*.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 #s(literal 1/3 binary64) rand))))))
(/.f64 (fma.f64 (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)) (*.f64 (+.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 (+.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 #s(literal 1/3 binary64) rand) (*.f64 #s(literal 1/3 binary64) 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 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 #s(literal 1/3 binary64) rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 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 (neg.f64 (fma.f64 (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)) (*.f64 (+.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 (+.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 #s(literal 1/3 binary64) rand) (*.f64 #s(literal 1/3 binary64) rand)) (*.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 #s(literal 1/3 binary64) rand)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)) (*.f64 (+.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 (+.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 #s(literal 1/3 binary64) rand) (*.f64 #s(literal 1/3 binary64) 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 (neg.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 #s(literal 1/3 binary64) rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (neg.f64 (-.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 (fma.f64 (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) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) a)) #s(literal -1/27 binary64)) (fma.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 #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)))))
(/.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 #s(literal 1/3 binary64) 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)) #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)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 #s(literal 1/3 binary64) rand))) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (-.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 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (-.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 (*.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 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)) (*.f64 (+.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 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 #s(literal 1/3 binary64) rand)) (*.f64 (+.f64 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 (neg.f64 (neg.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 #s(literal 1/3 binary64) rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (neg.f64 (neg.f64 (-.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 (neg.f64 (fma.f64 (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) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) a)) #s(literal -1/27 binary64))) (neg.f64 (fma.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 #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))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 #s(literal 1/3 binary64) rand))))) (neg.f64 (-.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 (neg.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)) #s(literal 1/9 binary64))) (neg.f64 (-.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 (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 #s(literal 1/3 binary64) rand))) #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 #s(literal 1/3 binary64) rand))) (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))) (*.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))))))
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(neg.f64 (/.f64 (neg.f64 rand) (sqrt.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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1 binary64))))
(/.f64 (neg.f64 rand) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 rand #s(literal 1 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 rand)) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 rand #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 rand))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (neg.f64 rand) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal -1 binary64)))
(*.f64 (/.f64 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))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)) (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (sqrt.f64 (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (*.f64 a #s(literal -27 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64)))) (sqrt.f64 (-.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
(pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)))

eval126.0ms (1.3%)

Memory
-8.6MiB live, 220.6MiB allocated
Compiler

Compiled 16 638 to 1 819 computations (89.1% saved)

prune86.0ms (0.9%)

Memory
-17.9MiB live, 195.3MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New6645669
Fresh314
Picked145
Done000
Total66810678
Accuracy
100.0%
Counts
678 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
41.1%
(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)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
99.5%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
98.8%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
41.6%
#s(approx (+ (* (* (+ a -1/3) 1/3) (/ rand (sqrt (+ a -1/3)))) (+ a -1/3)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
79.7%
#s(approx (+ (* (* (+ a -1/3) 1/3) (/ rand (sqrt (+ a -1/3)))) (+ 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))))
99.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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))))
98.3%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a))
59.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
41.2%
#s(approx (* (+ a -1/3) (+ 1 (/ rand (sqrt (+ (* 9 a) -3))))) (*.f64 rand (*.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
Compiler

Compiled 216 to 151 computations (30.1% saved)

simplify439.0ms (4.4%)

Memory
14.3MiB live, 615.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
cost-diff0
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
cost-diff192
(+.f64 a #s(literal -1/3 binary64))
cost-diff768
(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)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
cost-diff0
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
cost-diff0
(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))
cost-diff192
(+.f64 #s(literal -1/3 binary64) a)
cost-diff704
(*.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)))
cost-diff0
(/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
cost-diff128
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
cost-diff192
(+.f64 a #s(literal -1/3 binary64))
cost-diff0
(*.f64 #s(literal 1/3 binary64) rand)
cost-diff0
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
cost-diff0
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
cost-diff192
(+.f64 #s(literal -1/3 binary64) a)
cost-diff0
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
cost-diff0
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
cost-diff64
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
cost-diff192
(+.f64 a #s(literal -1/3 binary64))
Rules
11 970×lower-fma.f32
11 962×lower-fma.f64
6 244×lower-+.f32
6 238×lower-+.f64
5 060×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042220
071221
1117219
2194216
3367215
4824215
51346215
63003215
74574215
85296215
95412215
105412215
09056210
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
(fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))
#s(literal 9 binary64)
#s(literal -3 binary64)
rand
#s(approx (+ (* (* (+ a -1/3) 1/3) (/ rand (sqrt (+ a -1/3)))) (+ a -1/3)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
(+.f64 #s(literal -1/3 binary64) a)
#s(literal -1/3 binary64)
a
(*.f64 #s(literal 1/3 binary64) rand)
#s(literal 1/3 binary64)
rand
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
#s(literal 1 binary64)
(/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))
rand
#s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
#s(literal 3 binary64)
(sqrt.f64 a)
#s(approx (+ (* (* (+ a -1/3) 1/3) (/ rand (sqrt (+ a -1/3)))) (+ 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))))
(*.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
(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))
#s(literal 1/3 binary64)
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
(+.f64 #s(literal -1/3 binary64) a)
#s(literal -1/3 binary64)
a
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(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)))) #s(approx (+ a -1/3) #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))
a
#s(literal -1/3 binary64)
#s(literal 1/3 binary64)
(/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
rand
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
#s(approx (+ a -1/3) #s(literal -1/3 binary64))
Outputs
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))
(+.f64 a #s(literal -1/3 binary64))
#s(approx (+ a -1/3) #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
#s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
(fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
#s(literal 9 binary64)
#s(literal -3 binary64)
rand
#s(approx (+ (* (* (+ a -1/3) 1/3) (/ rand (sqrt (+ a -1/3)))) (+ a -1/3)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
#s(approx (+ (* (* (+ a -1/3) 1/3) (/ rand (sqrt (+ a -1/3)))) (+ a -1/3)) (*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
(sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(+.f64 #s(literal -1/3 binary64) a)
#s(approx (+ a -1/3) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
a
(*.f64 #s(literal 1/3 binary64) rand)
(*.f64 rand #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
rand
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(+.f64 a #s(literal -1/3 binary64))
#s(approx (+ a -1/3) #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
#s(literal 1 binary64)
(/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))
rand
#s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
#s(literal 3 binary64)
(sqrt.f64 a)
#s(approx (+ (* (* (+ a -1/3) 1/3) (/ rand (sqrt (+ a -1/3)))) (+ 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))))
#s(approx (+ (* (* (+ a -1/3) 1/3) (/ rand (sqrt (+ a -1/3)))) (+ a -1/3)) (*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(*.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)))
(fma.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
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))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))
#s(literal 1/3 binary64)
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
(sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(+.f64 #s(literal -1/3 binary64) a)
#s(approx (+ a -1/3) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
a
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)
(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)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
#s(approx (+ (* (* (+ a -1/3) 1/3) (/ rand (sqrt (+ a -1/3)))) (+ a -1/3)) (*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
(+.f64 a #s(literal -1/3 binary64))
#s(approx (+ a -1/3) #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
#s(literal 1/3 binary64)
(/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))
rand
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
#s(approx (+ a -1/3) #s(literal -1/3 binary64))

localize125.0ms (1.2%)

Memory
-11.8MiB live, 300.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
accuracy99.9%
(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)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
accuracy99.6%
(/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
accuracy99.4%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
accuracy100.0%
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
accuracy100.0%
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
accuracy99.7%
(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))
accuracy79.9%
(*.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)))
accuracy100.0%
(sqrt.f64 a)
accuracy99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
accuracy99.6%
(/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))
accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
accuracy100.0%
(+.f64 #s(literal -1/3 binary64) a)
accuracy100.0%
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
accuracy99.5%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
accuracy99.5%
(*.f64 #s(literal 1/3 binary64) rand)
accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
accuracy99.9%
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
accuracy99.6%
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
accuracy99.4%
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
Samples
66.0ms242×0valid
6.0ms2valid
5.0ms1valid
Compiler

Compiled 236 to 35 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 15.0ms (29.7% of total)
ival-add: 11.0ms (21.8% of total)
ival-div: 8.0ms (15.9% of total)
ival-sqrt: 7.0ms (13.9% of total)
const: 7.0ms (13.9% of total)
adjust: 1.0ms (2% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
38.6MiB live, 38.6MiB allocated
Counts
20 → 360
Calls
Call 1
Inputs
#<alt (+.f64 a #s(literal -1/3 binary64))>
#<alt (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))>
#<alt (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))>
#<alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))>
#<alt (+.f64 #s(literal -1/3 binary64) a)>
#<alt (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))>
#<alt (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))>
#<alt (*.f64 #s(literal 1/3 binary64) rand)>
#<alt (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))>
#<alt (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))>
#<alt (*.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)))>
#<alt (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))>
#<alt (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)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))>
#<alt (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64))>
#<alt (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 a))>
#<alt (sqrt.f64 a)>
#<alt (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)>
#<alt (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))>
Outputs
#<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 (sqrt -3)>
#<alt (+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))>
#<alt (+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))>
#<alt (+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -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))))))))>
#<alt (- (* -1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (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))))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1/3 (sqrt -1/3))>
#<alt (+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))>
#<alt (+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))))>
#<alt (+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (+ (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/6 (/ (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (sqrt -1/3)))))) (* 1/2 (/ 1 (sqrt -1/3)))))))))>
#<alt (* 1/3 (sqrt a))>
#<alt (* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))))>
#<alt (* 1/3 (sqrt a))>
#<alt (* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/9 (sqrt (/ 1 (pow a 3)))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1/9 (sqrt (/ 1 a))) (* -1/18 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 a))) (* 1/18 (sqrt a)))) a)) (* -1/9 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* 1/3 (* rand (sqrt -1/3)))>
#<alt (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* -1/3 (+ 1 (* rand (sqrt -1/3))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt 1>
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#<alt (+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))>
#<alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))>
#<alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))>
#<alt (+ 1 (* rand (sqrt -1/3)))>
#<alt (+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))>
#<alt (+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))>
#<alt (+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))>
#<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)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a)))))))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt -1/3))>
#<alt (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))>
#<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)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))>
#<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)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<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 (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))>
#<alt (+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))>
#<alt (+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))>
#<alt (+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))>
#<alt (* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))>
#<alt (* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))>
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#<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)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))>
#<alt (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))>
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#<alt (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))>
#<alt (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))>
#<alt (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))>
#<alt (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)>
#<alt (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)>
#<alt (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)>
#<alt (* 1/3 (sqrt (- a 1/3)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (* 1/3 (sqrt (- a 1/3)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt -1/9>
#<alt (- (* 1/3 a) 1/9)>
#<alt (- (* 1/3 a) 1/9)>
#<alt (- (* 1/3 a) 1/9)>
#<alt (* 1/3 a)>
#<alt (* a (- 1/3 (* 1/9 (/ 1 a))))>
#<alt (* a (- 1/3 (* 1/9 (/ 1 a))))>
#<alt (* a (- 1/3 (* 1/9 (/ 1 a))))>
#<alt (* 1/3 a)>
#<alt (* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))>
#<alt (* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))>
#<alt (* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt -3))>
#<alt (+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))>
#<alt (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))>
#<alt (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (/ -1/3 rand)>
#<alt (- (/ a rand) (* 1/3 (/ 1 rand)))>
#<alt (- (/ a rand) (* 1/3 (/ 1 rand)))>
#<alt (- (/ a rand) (* 1/3 (/ 1 rand)))>
#<alt (/ a rand)>
#<alt (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))>
#<alt (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))>
#<alt (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))>
#<alt (/ a rand)>
#<alt (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 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)))))))>
Calls

90 calls:

TimeVariablePointExpression
5.0ms
a
@0
(* rand (+ (* 1/3 (sqrt (+ -1/3 a))) (/ (+ -1/3 a) rand)))
1.0ms
rand
@0
(* rand (+ (* 1/3 (sqrt (+ -1/3 a))) (/ (+ -1/3 a) rand)))
1.0ms
a
@-inf
(/ (+ a -1/3) (sqrt (+ (* 9 a) -3)))
1.0ms
a
@-inf
(+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3))
1.0ms
a
@-inf
(* rand (+ (* 1/3 (sqrt (+ -1/3 a))) (/ (+ -1/3 a) rand)))

simplify880.0ms (8.8%)

Memory
6.2MiB live, 517.3MiB allocated
Algorithm
egg-herbie
Rules
13 794×lower-fma.f64
13 794×lower-fma.f32
6 050×lower-*.f64
6 050×lower-*.f32
5 242×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07565961
123895204
081464819
Stop Event
iter limit
node limit
Counts
360 → 356
Calls
Call 1
Inputs
-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)))
(sqrt -3)
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -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))))))))
(- (* -1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (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))))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(- a 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1/3 (sqrt -1/3))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (+ (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/6 (/ (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (sqrt -1/3)))))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(* 1/3 (sqrt a))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))))
(* 1/3 (sqrt a))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/9 (sqrt (/ 1 (pow a 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/9 (sqrt (/ 1 a))) (* -1/18 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 a))) (* 1/18 (sqrt a)))) a)) (* -1/9 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* -1/3 (+ 1 (* rand (sqrt -1/3))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))
(* 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 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
1
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(+ 1 (* rand (sqrt -1/3)))
(+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))
(+ 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)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a)))))))))
(+ 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)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt -1/3))
(+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))
(* 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)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))
(* 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)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) 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))))))
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))
(* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))
(* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
(* -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)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))
(* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))
(/ (- a 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(* 1/3 (sqrt (- a 1/3)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(* 1/3 (sqrt (- a 1/3)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 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))))))
-1/9
(- (* 1/3 a) 1/9)
(- (* 1/3 a) 1/9)
(- (* 1/3 a) 1/9)
(* 1/3 a)
(* a (- 1/3 (* 1/9 (/ 1 a))))
(* a (- 1/3 (* 1/9 (/ 1 a))))
(* a (- 1/3 (* 1/9 (/ 1 a))))
(* 1/3 a)
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt -3))
(+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))
(* (sqrt (/ 1 a)) rand)
(+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(* (sqrt (/ 1 a)) rand)
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(/ -1/3 rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(/ a rand)
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(/ a rand)
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 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)))))))
Outputs
-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 a (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (fma.f64 a (/.f64 #s(literal 1/3 binary64) a) (neg.f64 a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (fma.f64 a (/.f64 #s(literal 1/3 binary64) a) (neg.f64 a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (fma.f64 a (/.f64 #s(literal 1/3 binary64) a) (neg.f64 a)))
(sqrt -3)
(sqrt.f64 #s(literal -3 binary64))
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(fma.f64 #s(literal 9/2 binary64) (/.f64 a (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 #s(literal 27/8 binary64) (/.f64 a (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 (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 a (-.f64 (/.f64 (*.f64 #s(literal 729/16 binary64) a) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -27/8 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)))
(* 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 -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* 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 -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))))))
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a 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 -1/144 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 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))))))
(neg.f64 (*.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)))))
(* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/24 binary64)))) (neg.f64 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 (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) a)) #s(literal -3 binary64) (fma.f64 #s(literal -1/144 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))) (neg.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))) (* rand (sqrt -1/3)))))) 1/3)
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 rand (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 rand (/.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 rand (/.f64 #s(literal 15/16 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) (fma.f64 rand (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(+.f64 a (*.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))) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -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))))))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) #s(literal 0 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 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (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 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/9 binary64) rand) #s(literal -1/3 binary64)) (neg.f64 a))) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(neg.f64 (*.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 -1/6 binary64)) #s(literal -1/3 binary64)) a))))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(neg.f64 (*.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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/9 binary64) rand) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal 0 binary64) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/18 binary64) rand))) a)) a))))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 #s(literal -1/3 binary64) a))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand))) (neg.f64 rand))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand))) (neg.f64 rand))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand))) (neg.f64 rand))
(* -1/3 (sqrt -1/3))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))
(fma.f64 a (+.f64 (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 -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(fma.f64 a (fma.f64 a (+.f64 (/.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)))) (+.f64 (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 -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (+ (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/6 (/ (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (sqrt -1/3)))))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(fma.f64 a (+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 a (+.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (+.f64 (/.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 15/16 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/2 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 (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 0 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)))))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/9 (sqrt (/ 1 (pow a 3)))))))
(neg.f64 (*.f64 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 1/9 binary64)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/9 (sqrt (/ 1 a))) (* -1/18 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1/6 binary64) a))) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 a))) (* 1/18 (sqrt a)))) a)) (* -1/9 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/9 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 0 binary64) (*.f64 (sqrt.f64 a) #s(literal 1/18 binary64))) a)) a)) (neg.f64 a))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (fma.f64 a (/.f64 #s(literal 1/3 binary64) a) (neg.f64 a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (fma.f64 a (/.f64 #s(literal 1/3 binary64) a) (neg.f64 a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (fma.f64 a (/.f64 #s(literal 1/3 binary64) a) (neg.f64 a)))
(* 1/3 (* rand (sqrt -1/3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a rand)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/48 binary64) (*.f64 a (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (/.f64 (*.f64 #s(literal 1/6 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (*.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)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal -1/216 binary64) 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))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 a (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (*.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 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))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(*.f64 (*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (neg.f64 a))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) #s(literal 1/216 binary64) (*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))) (neg.f64 a))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(neg.f64 (*.f64 a (fma.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (*.f64 #s(literal 1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))) (*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(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 #s(literal 3/8 binary64) (/.f64 a (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 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) a) (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 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64))) (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)))
(neg.f64 (neg.f64 (sqrt.f64 a)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(neg.f64 (*.f64 a (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(neg.f64 (*.f64 a (fma.f64 #s(literal -1 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (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 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64))))) (neg.f64 a))
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* -1/3 (+ 1 (* rand (sqrt -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 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 rand (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 rand (/.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 rand (/.f64 #s(literal 15/16 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) (fma.f64 rand (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/9 binary64) rand) #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))))))
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(* 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 (fma.f64 rand (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 0 binary64)) (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/9 binary64) rand) #s(literal -1/3 binary64)) a))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64))) (neg.f64 a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(neg.f64 (*.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 -1/6 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)))))
(neg.f64 (*.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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/9 binary64) rand) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal 0 binary64) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/18 binary64) rand))) a)) a))))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
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(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 #s(literal -1/3 binary64) a))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand))) (neg.f64 rand))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand))) (neg.f64 rand))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand))) (neg.f64 rand))
1
#s(literal 1 binary64)
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(*.f64 (neg.f64 rand) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal -1 binary64) rand)))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(*.f64 (neg.f64 rand) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal -1 binary64) rand)))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(*.f64 (neg.f64 rand) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal -1 binary64) rand)))
(+ 1 (* rand (sqrt -1/3)))
(fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))
(fma.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))
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(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))
(fma.f64 a (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (fma.f64 a (*.f64 rand (/.f64 #s(literal 45/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 rand (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/54 binary64) rand) (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a)))))))))
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(+ 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 #s(literal -1/18 binary64) rand) #s(literal 1 binary64)))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
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(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
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(* rand (sqrt (/ 1 (- (* 9 a) 3))))
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(* rand (sqrt (/ 1 (- (* 9 a) 3))))
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(* rand (sqrt (/ 1 (- (* 9 a) 3))))
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(* rand (sqrt (/ 1 (- (* 9 a) 3))))
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(* rand (sqrt (/ 1 (- (* 9 a) 3))))
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(* rand (sqrt (/ 1 (- (* 9 a) 3))))
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(* rand (sqrt (/ 1 (- (* 9 a) 3))))
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(* rand (sqrt -1/3))
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(+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
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(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))
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(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))
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(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (*.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))))
(fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/54 binary64) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/54 binary64) rand) (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (*.f64 rand (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64))) #s(literal 3/2 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 #s(literal -1/54 binary64) 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 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 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 rand (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64))) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/54 binary64)))) (neg.f64 (*.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 (neg.f64 rand) (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand)))
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(fma.f64 a (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand))))
(+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(fma.f64 a (fma.f64 a (*.f64 #s(literal 1/8 binary64) (/.f64 rand (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))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand))))
(+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/48 binary64) (*.f64 a (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (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))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand))))
(* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 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 #s(literal -1/3 binary64) a)))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))
(+.f64 a (*.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))) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 (fma.f64 rand (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)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal -1/18 binary64) rand) #s(literal 1 binary64))) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))
(*.f64 (*.f64 (neg.f64 a) rand) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1 binary64) rand)))
(* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))
(*.f64 (fma.f64 rand (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1 binary64) rand)) (/.f64 #s(literal 1/3 binary64) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
(neg.f64 (*.f64 a (fma.f64 rand (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1 binary64) rand)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/18 binary64)) #s(literal -1/3 binary64)) (neg.f64 a)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
(*.f64 (-.f64 (*.f64 rand (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1 binary64) rand))) (/.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)))) (neg.f64 a))) a)) (neg.f64 a))
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))
(+.f64 (fma.f64 a (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 a rand)) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))
(+.f64 (fma.f64 a (fma.f64 #s(literal 1/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 a rand)) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))
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(* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 a #s(literal 1/3 binary64)) (/.f64 a rand))
(* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))
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(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))
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(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))
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(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))
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(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))
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(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))
(*.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1 binary64) rand)) (neg.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/216 binary64) (*.f64 (sqrt.f64 a) #s(literal -1/18 binary64)))) (*.f64 a a)) (/.f64 #s(literal -1/3 binary64) (*.f64 a rand))))) (neg.f64 a))
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
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(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
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(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
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(* 1/3 (sqrt (- a 1/3)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 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 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
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(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
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(* 1/3 (sqrt (- a 1/3)))
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(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
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(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
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(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
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(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
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(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
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(* (sqrt (/ 1 a)) rand)
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(* -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))))))
(neg.f64 (*.f64 a (fma.f64 #s(literal -1 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (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 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64))))) (neg.f64 a))

rewrite481.0ms (4.8%)

Memory
9.4MiB live, 714.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 908×lower-/.f32
5 900×lower-/.f64
4 586×lower-fma.f32
4 578×lower-fma.f64
3 412×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035143
062144
1223142
22006141
08906138
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 183
Calls
Call 1
Inputs
(+.f64 a #s(literal -1/3 binary64))
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
(*.f64 #s(literal 1/3 binary64) rand)
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
(+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))
(*.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)))
(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))
(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)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(*.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 #s(literal 3 binary64) (sqrt.f64 a))
(sqrt.f64 a)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
Outputs
(+.f64 a #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) a)
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal -1/3 binary64) (*.f64 a #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) a) #s(literal -1/3 binary64))
(+.f64 (*.f64 a #s(literal 1 binary64)) #s(literal -1/3 binary64))
(exp.f64 (fma.f64 (log.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))))
(sqrt.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))
(fma.f64 a #s(literal 1 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) a #s(literal -1/3 binary64))
(/.f64 rand (/.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.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 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) rand))
(/.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 #s(literal 1 binary64) rand)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 rand) (*.f64 rand (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 rand) (*.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) rand)))
(/.f64 (neg.f64 rand) (neg.f64 (/.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 (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 (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 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) rand)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 (*.f64 #s(literal 1 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 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 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal -1/3 binary64) a))
(/.f64 (*.f64 #s(literal 1 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)) #s(literal 1 binary64)) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) a))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (*.f64 rand #s(literal 1 binary64)) (/.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) rand) (/.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (neg.f64 (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)) (neg.f64 rand))
(/.f64 (*.f64 rand (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (neg.f64 rand))
(/.f64 (*.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) rand) (neg.f64 rand))
(/.f64 (neg.f64 (*.f64 rand #s(literal 1 binary64))) (neg.f64 (/.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (neg.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal -1/9 binary64)))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (neg.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) rand)) (neg.f64 (/.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 rand (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (neg.f64 (neg.f64 rand)))
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) rand)) (neg.f64 (neg.f64 rand)))
(/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) a)))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64))) (*.f64 #s(literal -1/3 binary64) (*.f64 a #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 1 binary64) a) #s(literal -1/3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 a #s(literal 1 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) (fma.f64 (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64)))))))
#s(approx (+ a -1/3) #s(literal -1/3 binary64))
(pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 rand (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))
(*.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) rand)
(*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))
(*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.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 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) rand))
(*.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) rand))
(*.f64 (/.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal -1 binary64)) (/.f64 rand rand))
(*.f64 (/.f64 rand rand) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(*.f64 (/.f64 rand (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 rand (/.f64 rand (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 rand (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 rand (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (sqrt.f64 (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (*.f64 a #s(literal -27 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64)))) (sqrt.f64 (-.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
#s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
(pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
(+.f64 #s(literal -1/3 binary64) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a))
(+.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(+.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(+.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a) #s(literal -1/3 binary64))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) a))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))))
(+.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(literal -1/3 binary64)) a)
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (/.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)) (-.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a) #s(literal -1/3 binary64))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))))
(fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))))
(fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (/.f64 rand #s(literal 1 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) #s(literal -1/3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) a))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) rand (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(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(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (/.f64 rand (/.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #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(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) rand) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) rand)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) rand)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) rand)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (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)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) rand) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal -1 binary64)) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal -1 binary64)) (/.f64 rand rand) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 rand rand) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 rand (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 rand (/.f64 rand (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(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 rand (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 rand (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)))))
(/.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(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) a) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (fma.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (-.f64 #s(literal -1/3 binary64) a)) (fma.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (-.f64 #s(literal -1/3 binary64) a) (*.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (+.f64 a #s(literal 1/3 binary64)) (*.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (fma.f64 a a #s(literal -1/9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))))))
(/.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 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -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))) (-.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
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(-.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (/.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)) (-.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a) #s(literal -1/3 binary64))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))))
(fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))))
(fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (/.f64 rand #s(literal 1 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) #s(literal -1/3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) a))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) rand (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(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(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (/.f64 rand (/.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #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(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) rand) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) rand)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) rand)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) rand)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (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)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) rand) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal -1 binary64)) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal -1 binary64)) (/.f64 rand rand) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 rand rand) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 rand (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 rand (/.f64 rand (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(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 rand (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 rand (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)))))
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(+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(+.f64 (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(literal 1 binary64))
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(fma.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(literal 1 binary64))
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(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) rand #s(literal 1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (*.f64 rand #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (*.f64 #s(literal 1 binary64) rand)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (*.f64 #s(literal 1 binary64) (neg.f64 rand))))
(/.f64 (neg.f64 rand) (neg.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) rand)))
(/.f64 (*.f64 rand #s(literal 1 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))
(/.f64 (*.f64 #s(literal 1 binary64) rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 rand)) (neg.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(/.f64 (neg.f64 (neg.f64 rand)) (neg.f64 (neg.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
(/.f64 (neg.f64 (*.f64 rand #s(literal 1 binary64))) (neg.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 rand))) (neg.f64 (neg.f64 (neg.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) rand)) (neg.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 rand))) (neg.f64 (neg.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
(pow.f64 (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) rand) #s(literal -1 binary64))
(*.f64 rand (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(*.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(*.f64 (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(literal 1 binary64))
(*.f64 (neg.f64 rand) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) rand)
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(*.f64 (*.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))))
(+.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(fma.f64 rand (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) rand) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) rand (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(fma.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) rand #s(approx (+ a -1/3) #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 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #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 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #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 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #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 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(literal 1/3 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal -1 binary64)) (/.f64 rand rand) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 rand rand) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 rand (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 rand (/.f64 rand (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 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 rand (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 rand (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (-.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (fma.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 rand (*.f64 rand rand)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 rand (fma.f64 #s(literal 1/27 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)) (*.f64 rand (-.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))) rand)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)) (*.f64 (-.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand))) rand)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 rand (*.f64 rand rand)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (-.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))
(/.f64 (*.f64 rand (fma.f64 #s(literal 1/27 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))))) (fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 rand (-.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand)))) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))) rand) (fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand))) rand) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 rand (*.f64 rand rand)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (-.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 rand (fma.f64 #s(literal 1/27 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))))) (neg.f64 (fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 rand (-.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))) rand)) (neg.f64 (fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand))) rand)) (neg.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))))
(/.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 rand (*.f64 rand rand)))) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)) rand)
(+.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))
(-.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))) (/.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand)) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand)) (-.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal 1/3 binary64) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))
(fma.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (pow.f64 (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) #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 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (pow.f64 (/.f64 rand (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 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (pow.f64 (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (pow.f64 (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand)) (-.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))))) (fma.f64 #s(literal 1/27 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (-.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))) (fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))) (+.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand)) (-.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))))))
(/.f64 (-.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand))) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))))) (neg.f64 (fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))))) (neg.f64 (+.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand)) (-.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))))
(/.f64 (-.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (-.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand))))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand)) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand)) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))) (/.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand)) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))) (*.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))) (/.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand)) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (-.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand rand))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(+.f64 #s(literal -1/3 binary64) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) a))
(+.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(+.f64 (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(+.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) a) #s(literal -1/3 binary64))
(+.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) a)
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))) (/.f64 (/.f64 (*.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) a) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) a)) (-.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) a) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) a) #s(literal -1/3 binary64))))
(fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) rand (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) #s(approx (+ a -1/3) #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 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #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 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) #s(approx (+ a -1/3) #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 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #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 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) rand) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal 1/3 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 1 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 rand) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) rand) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal -1 binary64)) (/.f64 rand rand) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 rand rand) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 rand (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 rand (/.f64 rand (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 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 rand (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 rand (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))) (fma.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(literal 1/27 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 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 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 #s(literal -1/3 binary64) a)) (fma.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (-.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) a) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) a) (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) a) #s(literal -1/3 binary64)))) (fma.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) a) (*.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) a) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (-.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) a) #s(literal -1/3 binary64)) (-.f64 (*.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) a) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) a)) #s(literal 1/9 binary64))))
(/.f64 (fma.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(literal 1/27 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (/.f64 (*.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(literal 1/27 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (-.f64 (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))))) (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 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 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (fma.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (-.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 #s(literal -1/3 binary64) a)))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (-.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 rand (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (+.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 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) rand) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 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))) rand) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) a) rand) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 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 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) rand))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) rand))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) rand))))
(/.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (neg.f64 rand))
(/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 rand (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 rand (+.f64 a #s(literal 1/3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) rand))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) rand))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1/3 binary64) a) rand))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (neg.f64 (neg.f64 rand)))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (neg.f64 (*.f64 rand (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (neg.f64 (*.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (neg.f64 (*.f64 rand (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))) (neg.f64 (*.f64 rand (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) rand)) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) rand)) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) rand)) (-.f64 #s(literal -1/3 binary64) a))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) rand)) (+.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 binary64))) (neg.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) rand)))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) rand)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) a) rand)))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (neg.f64 (neg.f64 (neg.f64 rand))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) rand))) (neg.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) rand))) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) rand))) (neg.f64 (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) rand))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))))
(pow.f64 (/.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand))
(*.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 rand)))
(*.f64 (/.f64 #s(literal 1 binary64) rand) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) #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 (pow.f64 (/.f64 rand (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 (pow.f64 (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (pow.f64 (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.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 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (fma.f64 a a #s(literal -1/9 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 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (sqrt.f64 (-.f64 #s(literal -1/3 binary64) 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 (*.f64 #s(literal 1 binary64) (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 (*.f64 #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 a #s(literal -1/3 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (sqrt.f64 (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (sqrt.f64 (*.f64 #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 a (*.f64 a a) #s(literal -1/27 binary64)) #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 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 a #s(literal 1/3 binary64))))
(/.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 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (sqrt.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (neg.f64 (+.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 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 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))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (neg.f64 (sqrt.f64 (+.f64 a #s(literal 1/3 binary64)))))
(pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (pow.f64 #s(literal 1 binary64) #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))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 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))) (sqrt.f64 (/.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 #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 (fma.f64 a a #s(literal -1/9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))

eval241.0ms (2.4%)

Memory
-1.4MiB live, 434.4MiB allocated
Compiler

Compiled 37 055 to 3 252 computations (91.2% saved)

prune175.0ms (1.7%)

Memory
-46.9MiB live, 510.1MiB allocated
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New1 51741 521
Fresh101
Picked325
Done134
Total1 52291 531
Accuracy
100.0%
Counts
1 531 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.9%
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
40.1%
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
98.8%
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
99.5%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
98.8%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
35.3%
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
41.6%
#s(approx (+ (* (* (+ a -1/3) 1/3) (/ rand (sqrt (+ a -1/3)))) (+ a -1/3)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
99.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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))))
59.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
Compiler

Compiled 110 to 82 computations (25.5% saved)

simplify60.0ms (0.6%)

Memory
21.4MiB live, 61.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
cost-diff0
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
cost-diff192
(+.f64 a #s(literal -1/3 binary64))
cost-diff768
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
cost-diff0
(/.f64 rand #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))
cost-diff0
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
cost-diff0
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
cost-diff192
(+.f64 a #s(literal -1/3 binary64))
cost-diff0
(sqrt.f64 a)
cost-diff0
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
cost-diff0
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
cost-diff192
(+.f64 a #s(literal -1/3 binary64))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
cost-diff0
(*.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
cost-diff0
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
cost-diff192
(+.f64 #s(literal -1/3 binary64) a)
Rules
1 300×lower-fma.f32
1 292×lower-fma.f64
644×lower-*.f32
636×lower-*.f64
332×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036179
059179
188179
2141178
3260175
4458175
5596175
6676175
7836175
81022175
91148175
101246175
01246173
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(*.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(+.f64 #s(literal -1/3 binary64) a)
#s(literal -1/3 binary64)
a
rand
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
#s(literal 1 binary64)
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
#s(literal 9 binary64)
#s(literal -3 binary64)
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
#s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
#s(literal 1/3 binary64)
(sqrt.f64 a)
a
rand
(+.f64 a #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))) #s(approx (+ a -1/3) #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))
a
#s(literal -1/3 binary64)
#s(literal 1/3 binary64)
(/.f64 rand #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))
rand
#s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))
(sqrt.f64 a)
#s(approx (+ a -1/3) #s(literal -1/3 binary64))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
(fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))
#s(literal 9 binary64)
#s(literal -3 binary64)
rand
#s(approx (+ a -1/3) #s(literal -1/3 binary64))
Outputs
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(*.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(*.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) rand)
(+.f64 #s(literal -1/3 binary64) a)
#s(approx (+ a -1/3) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
a
rand
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
#s(literal 1 binary64)
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
#s(literal 9 binary64)
#s(literal -3 binary64)
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
#s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
#s(literal 1/3 binary64)
(sqrt.f64 a)
a
rand
(+.f64 a #s(literal -1/3 binary64))
#s(approx (+ a -1/3) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
(+.f64 a #s(literal -1/3 binary64))
#s(approx (+ a -1/3) #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
#s(literal 1/3 binary64)
(/.f64 rand #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))
(/.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))
rand
#s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))
(sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(sqrt.f64 a)
#s(approx (+ a -1/3) #s(literal -1/3 binary64))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
#s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(+.f64 a #s(literal -1/3 binary64))
#s(approx (+ a -1/3) #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
(sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
(fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
#s(literal 9 binary64)
#s(literal -3 binary64)
rand
#s(approx (+ a -1/3) #s(literal -1/3 binary64))

localize427.0ms (4.3%)

Memory
-28.6MiB live, 165.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
accuracy99.9%
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
accuracy99.6%
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
accuracy99.4%
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
accuracy100.0%
(sqrt.f64 a)
accuracy99.9%
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
accuracy99.6%
(/.f64 rand #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))
accuracy99.4%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
accuracy100.0%
(sqrt.f64 a)
accuracy99.9%
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
accuracy100.0%
(*.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
accuracy99.7%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
accuracy99.3%
(/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
accuracy87.3%
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
Samples
79.0ms2valid
54.0ms242×0valid
2.0ms1valid
Compiler

Compiled 196 to 30 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-mult: 86.0ms (73.9% of total)
ival-sqrt: 9.0ms (7.7% of total)
ival-add: 7.0ms (6% of total)
const: 7.0ms (6% of total)
ival-div: 5.0ms (4.3% of total)
adjust: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
26.3MiB live, 26.3MiB allocated
Counts
15 → 252
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal -1/3 binary64) a)>
#<alt (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))>
#<alt (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand)>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))>
#<alt (+.f64 a #s(literal -1/3 binary64))>
#<alt (fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))>
#<alt (sqrt.f64 a)>
#<alt (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))>
#<alt (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64))>
#<alt (/.f64 rand #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))>
#<alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))>
#<alt (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))>
#<alt (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))>
Outputs
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1/3 (* rand (sqrt -1/3)))>
#<alt (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))>
#<alt (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))>
#<alt (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -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 (* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/9 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1/9 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) a)) (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -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)) (* -1/9 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) a)) (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1/3 rand)>
#<alt (+ (* -1/3 rand) (* a rand))>
#<alt (+ (* -1/3 rand) (* a rand))>
#<alt (+ (* -1/3 rand) (* a rand))>
#<alt (* a rand)>
#<alt (* a (+ rand (* -1/3 (/ rand a))))>
#<alt (* a (+ rand (* -1/3 (/ rand a))))>
#<alt (* a (+ rand (* -1/3 (/ rand a))))>
#<alt (* a rand)>
#<alt (* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))>
#<alt (* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))>
#<alt (* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* -1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (- (* -1/2 (/ (* a (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (- (* a (+ (* -1/2 (/ (* a (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<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)))) (+ (* 1/3 (sqrt (/ 1 a))) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (- 1/243 (* 1/324 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))) (* 3/2 (* (sqrt (/ 1 a)) (* (pow (sqrt -1) 2) (+ 1/243 (* -1/324 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 -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (- (* -1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (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))))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt -1/9>
#<alt (- (* 1/3 a) 1/9)>
#<alt (- (* 1/3 a) 1/9)>
#<alt (- (* 1/3 a) 1/9)>
#<alt (* 1/3 a)>
#<alt (* a (- 1/3 (* 1/9 (/ 1 a))))>
#<alt (* a (- 1/3 (* 1/9 (/ 1 a))))>
#<alt (* a (- 1/3 (* 1/9 (/ 1 a))))>
#<alt (* 1/3 a)>
#<alt (* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))>
#<alt (* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))>
#<alt (* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt -3))>
#<alt (+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))>
#<alt (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))>
#<alt (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (* -1/3 (sqrt -1/3))>
#<alt (+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))>
#<alt (+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))))>
#<alt (+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (+ (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/6 (/ (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (sqrt -1/3)))))) (* 1/2 (/ 1 (sqrt -1/3)))))))))>
#<alt (* 1/3 (sqrt a))>
#<alt (* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))))>
#<alt (* 1/3 (sqrt a))>
#<alt (* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/9 (sqrt (/ 1 (pow a 3)))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1/9 (sqrt (/ 1 a))) (* -1/18 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 a))) (* 1/18 (sqrt a)))) a)) (* -1/9 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))>
#<alt (- (* -1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (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))))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (sqrt -3)>
#<alt (+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))>
#<alt (+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))>
#<alt (+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -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))))))))>
#<alt -1/3>
#<alt (- (* -1 a) 1/3)>
#<alt (- (* a (- (* -3 a) 1)) 1/3)>
#<alt (- (* a (- (* a (- (* -9 a) 3)) 1)) 1/3)>
#<alt (/ 1/9 a)>
#<alt (/ (+ 1/9 (* 1/27 (/ 1 a))) a)>
#<alt (/ (+ 1/9 (+ (/ 1/81 (pow a 2)) (* 1/27 (/ 1 a)))) a)>
#<alt (/ (+ 1/9 (+ (/ 1/81 (pow a 2)) (+ (* 1/27 (/ 1 a)) (* 1/243 (/ 1 (pow a 3)))))) a)>
#<alt (/ 1/9 a)>
#<alt (/ (+ 1/9 (* 1/27 (/ 1 a))) a)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 a))) a)) 1/9) a))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/27 (+ (/ 1/243 (pow a 2)) (* 1/81 (/ 1 a)))) a)) 1/9) a))>
Calls

63 calls:

TimeVariablePointExpression
2.0ms
a
@0
(* (* (+ -1/3 a) rand) (sqrt (/ 1 (+ (* a 9) -3))))
1.0ms
a
@-inf
(* (* (+ -1/3 a) rand) (sqrt (/ 1 (+ (* a 9) -3))))
0.0ms
a
@-inf
(sqrt (/ 1 (+ (* a 9) -3)))
0.0ms
a
@-inf
(* (+ -1/3 a) rand)
0.0ms
a
@inf
(* (* (+ -1/3 a) rand) (sqrt (/ 1 (+ (* a 9) -3))))

simplify453.0ms (4.5%)

Memory
-13.0MiB live, 657.2MiB allocated
Algorithm
egg-herbie
Rules
11 972×lower-fma.f64
11 972×lower-fma.f32
6 024×lower-*.f64
6 024×lower-*.f32
3 822×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05994049
118053423
259873302
081833068
Stop Event
iter limit
node limit
Counts
252 → 248
Calls
Call 1
Inputs
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1/3 (* rand (sqrt -1/3)))
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -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)))))))
(* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/9 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/9 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) a)) (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -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)) (* -1/9 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) a)) (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1/3 rand)
(+ (* -1/3 rand) (* a rand))
(+ (* -1/3 rand) (* a rand))
(+ (* -1/3 rand) (* a rand))
(* a rand)
(* a (+ rand (* -1/3 (/ rand a))))
(* a (+ rand (* -1/3 (/ rand a))))
(* a (+ rand (* -1/3 (/ rand a))))
(* a rand)
(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(sqrt -1/3)
(+ (sqrt -1/3) (* -1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (- (* -1/2 (/ (* a (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (- (* a (+ (* -1/2 (/ (* a (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(* 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)))) (+ (* 1/3 (sqrt (/ 1 a))) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (- 1/243 (* 1/324 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))) (* 3/2 (* (sqrt (/ 1 a)) (* (pow (sqrt -1) 2) (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(- (* -1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (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))))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(- a 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(- (* 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))))))
-1/9
(- (* 1/3 a) 1/9)
(- (* 1/3 a) 1/9)
(- (* 1/3 a) 1/9)
(* 1/3 a)
(* a (- 1/3 (* 1/9 (/ 1 a))))
(* a (- 1/3 (* 1/9 (/ 1 a))))
(* a (- 1/3 (* 1/9 (/ 1 a))))
(* 1/3 a)
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt -3))
(+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))
(* (sqrt (/ 1 a)) rand)
(+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(* (sqrt (/ 1 a)) rand)
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(* -1/3 (sqrt -1/3))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (+ (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/6 (/ (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (sqrt -1/3)))))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(* 1/3 (sqrt a))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))))
(* 1/3 (sqrt a))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/9 (sqrt (/ 1 (pow a 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/9 (sqrt (/ 1 a))) (* -1/18 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 a))) (* 1/18 (sqrt a)))) a)) (* -1/9 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(- (* -1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (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))))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(- a 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(sqrt -3)
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -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))))))))
-1/3
(- (* -1 a) 1/3)
(- (* a (- (* -3 a) 1)) 1/3)
(- (* a (- (* a (- (* -9 a) 3)) 1)) 1/3)
(/ 1/9 a)
(/ (+ 1/9 (* 1/27 (/ 1 a))) a)
(/ (+ 1/9 (+ (/ 1/81 (pow a 2)) (* 1/27 (/ 1 a)))) a)
(/ (+ 1/9 (+ (/ 1/81 (pow a 2)) (+ (* 1/27 (/ 1 a)) (* 1/243 (/ 1 (pow a 3)))))) a)
(/ 1/9 a)
(/ (+ 1/9 (* 1/27 (/ 1 a))) a)
(* -1 (/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 a))) a)) 1/9) a))
(* -1 (/ (- (* -1 (/ (+ 1/27 (+ (/ 1/243 (pow a 2)) (* 1/81 (/ 1 a)))) a)) 1/9) a))
Outputs
-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 a (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
(* -1/3 (* rand (sqrt -1/3)))
(*.f64 rand (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))
(fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 #s(literal 1/6 binary64) a) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))
(fma.f64 a (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 a #s(literal -1/2 binary64))) (/.f64 (*.f64 a (*.f64 #s(literal 3/8 binary64) rand)) (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 rand (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 a #s(literal -1/2 binary64))) (*.f64 a (fma.f64 (/.f64 (*.f64 rand #s(literal 9/4 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 a #s(literal -1/2 binary64))) (/.f64 (*.f64 a (*.f64 #s(literal 15/16 binary64) rand)) (sqrt.f64 #s(literal -1/3 binary64)))))))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (*.f64 a rand) (fma.f64 #s(literal -1/9 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)))))
(* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
(*.f64 a (+.f64 #s(literal 0 binary64) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (*.f64 rand (sqrt.f64 a)) #s(literal -1/3 binary64))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/9 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))))))
(neg.f64 (*.f64 (*.f64 a rand) (fma.f64 #s(literal -1/9 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))))))
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(* -1/3 rand)
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(* a rand)
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(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* -1/2 (/ a (sqrt -1/3))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))
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(+ (sqrt -1/3) (* a (- (* a (+ (* -1/2 (/ (* a (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
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(* 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))))
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(+ (* 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))))
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(* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(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))) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (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) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt (/ 1 a)) (* (pow (sqrt -1) 2) (+ 1/243 (* -1/324 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 #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)))) #s(literal 1/18 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (fma.f64 a #s(literal 1/324 binary64) #s(literal -1/243 binary64)) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 a) #s(literal -1/54 binary64))) (*.f64 (neg.f64 a) (*.f64 a a)))))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
(- (* -1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 rand (*.f64 #s(literal -1/3 binary64) (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))) (* rand (sqrt -1/3)))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (+.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 #s(literal 1/6 binary64) a) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)
(fma.f64 a (+.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 a #s(literal -1/2 binary64))) (/.f64 (*.f64 a (*.f64 #s(literal 3/8 binary64) rand)) (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64))) (fma.f64 rand (*.f64 #s(literal -1/3 binary64) (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 (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)
(fma.f64 a (+.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 a #s(literal -1/2 binary64))) (*.f64 a (fma.f64 (/.f64 (*.f64 rand #s(literal 9/4 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 a #s(literal -1/2 binary64))) (/.f64 (*.f64 a (*.f64 #s(literal 15/16 binary64) rand)) (sqrt.f64 #s(literal -1/3 binary64)))))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64))) (fma.f64 rand (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 a #s(literal 1/3 binary64))) rand a)
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
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(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
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(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -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))))))) (* 1/3 (/ 1 a))))
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(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
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(- a 1/3)
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(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
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(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
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(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
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(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
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(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.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 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #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 #s(literal 1/8 binary64) (/.f64 (*.f64 a rand) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.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))) (* 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 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 a rand) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 a #s(literal 1/3 binary64))) rand a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(*.f64 a (fma.f64 #s(literal 1/3 binary64) (fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.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 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(*.f64 a (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 a #s(literal 1/3 binary64))) rand a)
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(*.f64 a (fma.f64 #s(literal 1/3 binary64) (fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.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 #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)) #s(literal -1/3 binary64)) a)) (neg.f64 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 #s(literal -1/3 binary64) rand) #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)) (neg.f64 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)))
-1/9
#s(literal -1/9 binary64)
(- (* 1/3 a) 1/9)
(fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))
(- (* 1/3 a) 1/9)
(fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))
(- (* 1/3 a) 1/9)
(fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))
(* 1/3 a)
(*.f64 a #s(literal 1/3 binary64))
(* a (- 1/3 (* 1/9 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(* a (- 1/3 (* 1/9 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(* a (- 1/3 (* 1/9 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(* 1/3 a)
(*.f64 a #s(literal 1/3 binary64))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt -3))
(*.f64 rand (sqrt.f64 #s(literal -3 binary64)))
(+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))
(fma.f64 a (/.f64 (*.f64 rand #s(literal -9/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -81/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 rand #s(literal -9/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 rand #s(literal 405/8 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -81/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 rand #s(literal -9/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(*.f64 rand (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))))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 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)))))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (*.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) #s(literal 1/2 binary64))))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(*.f64 rand (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))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))
(*.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 -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(-.f64 (*.f64 rand (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)))) (/.f64 (*.f64 rand (fma.f64 (*.f64 #s(literal 1/2 binary64) (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 1/18 binary64)))) (*.f64 a (*.f64 a a))))
(* -1/3 (sqrt -1/3))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))
(fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 a #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 a (fma.f64 a (+.f64 (/.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)))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (+ (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/6 (/ (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (sqrt -1/3)))))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 a (fma.f64 a (+.f64 (fma.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 a #s(literal -1/2 binary64))) (*.f64 a (/.f64 #s(literal 15/16 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(*.f64 a (fma.f64 #s(literal -1/9 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)))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))))
(*.f64 a (+.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/9 (sqrt (/ 1 (pow a 3)))))))
(*.f64 a (fma.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/9 (sqrt (/ 1 a))) (* -1/18 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/6 binary64) a))) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 a))) (* 1/18 (sqrt a)))) a)) (* -1/9 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/18 binary64) #s(literal 0 binary64)) (neg.f64 a))) a)) (neg.f64 a))
(- (* -1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 rand (*.f64 #s(literal -1/3 binary64) (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))) (* rand (sqrt -1/3)))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (+.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 #s(literal 1/6 binary64) a) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)
(fma.f64 a (+.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 a #s(literal -1/2 binary64))) (/.f64 (*.f64 a (*.f64 #s(literal 3/8 binary64) rand)) (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64))) (fma.f64 rand (*.f64 #s(literal -1/3 binary64) (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 (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)
(fma.f64 a (+.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 a #s(literal -1/2 binary64))) (*.f64 a (fma.f64 (/.f64 (*.f64 rand #s(literal 9/4 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 a #s(literal -1/2 binary64))) (/.f64 (*.f64 a (*.f64 #s(literal 15/16 binary64) rand)) (sqrt.f64 #s(literal -1/3 binary64)))))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64))) (fma.f64 rand (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 a #s(literal 1/3 binary64))) rand a)
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(*.f64 a (fma.f64 rand (fma.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(*.f64 a (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -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))))))) (* 1/3 (/ 1 a))))
(*.f64 a (fma.f64 rand (+.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 a #s(literal 1/3 binary64))) rand a)
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (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 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/9 binary64) rand) #s(literal -1/3 binary64)) a)) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -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 #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 -1/6 binary64)) #s(literal -1/3 binary64)) a)) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (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 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/9 binary64) rand) #s(literal -1/3 binary64)) (/.f64 (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal -1/18 binary64)) #s(literal 0 binary64)) a)) a)) (neg.f64 a))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(sqrt -3)
(sqrt.f64 #s(literal -3 binary64))
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(fma.f64 a (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 (/.f64 a (sqrt.f64 #s(literal -3 binary64))) #s(literal 27/8 binary64) (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 729/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 27/8 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)))
(* 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 -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* 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 -1/2 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 -1/24 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))))))
(*.f64 a (fma.f64 #s(literal -1/2 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 7 binary64)))) #s(literal -1/144 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 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 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))) (neg.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)))) (neg.f64 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 (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) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))))) (neg.f64 a))
-1/3
#s(literal -1/3 binary64)
(- (* -1 a) 1/3)
(-.f64 #s(literal -1/3 binary64) a)
(- (* a (- (* -3 a) 1)) 1/3)
(fma.f64 a (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64))
(- (* a (- (* a (- (* -9 a) 3)) 1)) 1/3)
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal -9 binary64) #s(literal -3 binary64)) #s(literal -1 binary64)) #s(literal -1/3 binary64))
(/ 1/9 a)
(/.f64 #s(literal 1/9 binary64) a)
(/ (+ 1/9 (* 1/27 (/ 1 a))) a)
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) a)) a)
(/ (+ 1/9 (+ (/ 1/81 (pow a 2)) (* 1/27 (/ 1 a)))) a)
(/.f64 (+.f64 #s(literal 1/9 binary64) (+.f64 (/.f64 #s(literal 1/27 binary64) a) (/.f64 #s(literal 1/81 binary64) (*.f64 a a)))) a)
(/ (+ 1/9 (+ (/ 1/81 (pow a 2)) (+ (* 1/27 (/ 1 a)) (* 1/243 (/ 1 (pow a 3)))))) a)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) a) (/.f64 #s(literal 1/81 binary64) (*.f64 a a))) (+.f64 (/.f64 #s(literal 1/243 binary64) (*.f64 a (*.f64 a a))) #s(literal 1/9 binary64))) a)
(/ 1/9 a)
(/.f64 #s(literal 1/9 binary64) a)
(/ (+ 1/9 (* 1/27 (/ 1 a))) a)
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) a)) a)
(* -1 (/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 a))) a)) 1/9) a))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) a)) a)) (neg.f64 a))
(* -1 (/ (- (* -1 (/ (+ 1/27 (+ (/ 1/243 (pow a 2)) (* 1/81 (/ 1 a)))) a)) 1/9) a))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) a)) (/.f64 #s(literal 1/243 binary64) (*.f64 a a))) a)) (neg.f64 a))

rewrite409.0ms (4.1%)

Memory
36.0MiB live, 585.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 218×lower-fma.f32
7 210×lower-fma.f64
4 360×lower-/.f32
4 354×lower-/.f64
3 536×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033111
059111
1190108
21363108
08212106
Stop Event
iter limit
node limit
iter limit
Counts
15 → 838
Calls
Call 1
Inputs
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(*.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(+.f64 a #s(literal -1/3 binary64))
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(sqrt.f64 a)
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
(/.f64 rand #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
Outputs
(+.f64 #s(literal -1/3 binary64) a)
(+.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 a)))
(+.f64 a #s(literal -1/3 binary64))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64)))))
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) (neg.f64 (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a))))
(+.f64 (neg.f64 (neg.f64 a)) #s(literal -1/3 binary64))
(exp.f64 (fma.f64 (log.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)))
(sqrt.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))
(fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64)))))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (neg.f64 (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a))))
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(/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))
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(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal 1/3 binary64)))
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(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (neg.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (neg.f64 (-.f64 #s(literal -1/3 binary64) a)))
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))))
(*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(*.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand)
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(*.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -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 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand)))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64)))) (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))))) (+.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a))) (*.f64 (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)))) (+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a))))
#s(approx (+ a -1/3) #s(literal -1/3 binary64))
(pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))
(*.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 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (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 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (fma.f64 a (neg.f64 a) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 a) #s(literal -1/3 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -1/3 binary64) a))))
(+.f64 #s(literal -1/3 binary64) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))))
(+.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(+.f64 (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(+.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) #s(literal -1/3 binary64))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (neg.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(+.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) #s(literal -1/3 binary64)) a)
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(-.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))) (/.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))))
(-.f64 (/.f64 (*.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a)) (+.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) #s(literal 1/3 binary64))))
(fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 #s(literal 1 binary64) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(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 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (neg.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.f64 #s(approx (+ a -1/3) #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 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #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 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(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 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 (fma.f64 a (neg.f64 a) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 a) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -1/3 binary64) a))) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 (neg.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (*.f64 a a) (*.f64 (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) a)))) #s(literal -1/3 binary64))
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.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 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -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)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (neg.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(neg.f64 (/.f64 (fma.f64 (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (neg.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.f64 rand) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))) (fma.f64 (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #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 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 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 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a a #s(literal -1/9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 #s(literal -1/3 binary64) a)) (fma.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) #s(literal -1/3 binary64)))) (fma.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) (*.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))) (-.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) #s(literal 1/3 binary64)) (fma.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) #s(literal -1/9 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 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 #s(approx (+ a -1/3) #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 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(/.f64 (fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 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 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (fma.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (neg.f64 (fma.f64 (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))) (neg.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
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(fma.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #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 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #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 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (neg.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) #s(approx (+ a -1/3) #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 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #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 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #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 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #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 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (fma.f64 a (neg.f64 a) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 a) #s(literal -1/3 binary64))) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -1/3 binary64) a))) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(literal 1/27 binary64)) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (fma.f64 a a (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))) a)))) #s(literal -1/3 binary64))
(fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) a)) #s(literal -1/3 binary64))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal 1/3 binary64) #s(approx (+ a -1/3) #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 #s(approx (+ a -1/3) #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)))) #s(approx (+ a -1/3) #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 #s(approx (+ a -1/3) #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))) #s(approx (+ a -1/3) #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 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (pow.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) rand)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 rand (neg.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (neg.f64 rand) #s(literal -1 binary64)) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(neg.f64 (/.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(literal 1/27 binary64)) (*.f64 rand (*.f64 rand rand))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))) (neg.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 #s(literal -1/3 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(literal 1/27 binary64)) (*.f64 rand (*.f64 rand rand))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (-.f64 (/.f64 (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))))) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(literal 1/27 binary64)) (*.f64 rand (*.f64 rand rand))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #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 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))))))
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(+.f64 #s(literal -1/3 binary64) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))))
(+.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(+.f64 (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(+.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) #s(literal -1/3 binary64))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (neg.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(+.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) #s(literal -1/3 binary64)) a)
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(-.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))) (/.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))))
(-.f64 (/.f64 (*.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a)) (+.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) #s(literal 1/3 binary64))))
(fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 #s(literal 1 binary64) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (sqrt.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(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 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (neg.f64 (/.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.f64 #s(approx (+ a -1/3) #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 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #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 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(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 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 (fma.f64 a (neg.f64 a) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 a) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -1/3 binary64) a))) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(fma.f64 (neg.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (*.f64 a a) (*.f64 (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) a)))) #s(literal -1/3 binary64))
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.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 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -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)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (neg.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(neg.f64 (/.f64 (fma.f64 (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (neg.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.f64 rand) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))) (fma.f64 (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #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 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 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 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a a #s(literal -1/9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 #s(literal -1/3 binary64) a)) (fma.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (-.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) #s(literal -1/3 binary64)))) (fma.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) (*.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))) (-.f64 (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) #s(literal 1/3 binary64)) (fma.f64 (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a) #s(literal -1/9 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (-.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))) (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (fma.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))) (fma.f64 rand #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (neg.f64 #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 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 #s(approx (+ a -1/3) #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 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(/.f64 (fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
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(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (sqrt.f64 (+.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (*.f64 a #s(literal 27 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (sqrt.f64 (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 a a) #s(literal 81 binary64) (*.f64 a #s(literal 27 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64)))) (sqrt.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (*.f64 a #s(literal 27 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64)))) (sqrt.f64 (fma.f64 a #s(literal -9 binary64) #s(literal -3 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64)))) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal -9 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (*.f64 a #s(literal 27 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
(pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (*.f64 a #s(literal 27 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (*.f64 a #s(literal 27 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (*.f64 a #s(literal 27 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -9 binary64) #s(literal 3 binary64))))
(-.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (/.f64 (*.f64 a #s(literal -27 binary64)) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))))
(-.f64 (/.f64 (*.f64 a #s(literal 9 binary64)) (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (/.f64 #s(literal -3 binary64) (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -9 binary64) #s(literal 3 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -9 binary64) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 a #s(literal -9 binary64) #s(literal 3 binary64)))
(/.f64 (+.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (*.f64 a #s(literal 27 binary64))) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64)))
(/.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)) (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64)))
(/.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (*.f64 a #s(literal 27 binary64)))) (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))))
(/.f64 (fma.f64 a #s(literal -9 binary64) #s(literal -3 binary64)) (neg.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))))
(pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal -2 binary64))
(pow.f64 (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -9 binary64) #s(literal 3 binary64))))
(*.f64 (+.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (*.f64 a #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))))
(*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (+.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (*.f64 a #s(literal 27 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (*.f64 a #s(literal 27 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))) #s(literal -1 binary64)))

eval102.0ms (1%)

Memory
15.2MiB live, 201.5MiB allocated
Compiler

Compiled 20 555 to 1 857 computations (91% saved)

prune123.0ms (1.2%)

Memory
-31.9MiB live, 178.9MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New8673870
Fresh000
Picked134
Done145
Total86910879
Accuracy
100.0%
Counts
879 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.9%
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
40.2%
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
98.8%
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
40.2%
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
40.1%
(fma.f64 #s(approx (* (+ a -1/3) 1/3) (*.f64 a #s(literal 1/3 binary64))) (/.f64 rand #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
99.5%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
35.3%
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
41.6%
#s(approx (+ (* (* (+ a -1/3) 1/3) (/ rand (sqrt (+ a -1/3)))) (+ a -1/3)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
99.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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))))
59.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
Compiler

Compiled 372 to 156 computations (58.1% saved)

regimes33.0ms (0.3%)

Memory
17.1MiB live, 53.0MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
#s(approx (+ (* (* (+ a -1/3) 1/3) (/ rand (sqrt (+ a -1/3)))) (+ a -1/3)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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 #s(approx (* (+ a -1/3) 1/3) (*.f64 a #s(literal 1/3 binary64))) (/.f64 rand #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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))))
#s(approx (+ (* (* (+ a -1/3) 1/3) (/ rand (sqrt (+ a -1/3)))) (+ 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))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -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)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
#s(approx (* (+ a -1/3) (+ 1 (/ rand (sqrt (+ (* 9 a) -3))))) (*.f64 rand (*.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -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 #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)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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))))
Calls

4 calls:

11.0ms
rand
7.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
7.0ms
(*.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)))
7.0ms
a
Results
AccuracySegmentsBranch
99.8%1a
99.8%1rand
99.8%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
99.8%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes13.0ms (0.1%)

Memory
-14.0MiB live, 23.2MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
#s(approx (+ (* (* (+ a -1/3) 1/3) (/ rand (sqrt (+ a -1/3)))) (+ a -1/3)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
Outputs
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
Calls

4 calls:

5.0ms
a
2.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
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
98.8%1a
98.8%1rand
98.8%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
98.8%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes9.0ms (0.1%)

Memory
21.5MiB live, 21.5MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
#s(approx (+ (* (* (+ a -1/3) 1/3) (/ rand (sqrt (+ a -1/3)))) (+ a -1/3)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
Calls

4 calls:

2.0ms
a
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
rand
Results
AccuracySegmentsBranch
63.0%3a
92.5%3rand
84.8%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)))
63.0%3(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
Outputs
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
Calls

1 calls:

1.0ms
rand
Results
AccuracySegmentsBranch
92.0%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-23.0MiB live, 14.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
Calls

4 calls:

4.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
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
a
1.0ms
rand
Results
AccuracySegmentsBranch
59.5%1a
59.5%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
59.5%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)))
59.5%1rand
Compiler

Compiled 35 to 23 computations (34.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.798403670527571e+111
1.7558029504629984e+114
0.0ms
-1.2359787930900175e+91
-5.199346981298406e+90
Compiler

Compiled 25 to 18 computations (28% saved)

bsearch31.0ms (0.3%)

Memory
6.4MiB live, 48.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
5.798403670527571e+111
1.7558029504629984e+114
9.0ms
-1.2359787930900175e+91
-5.199346981298406e+90
Samples
20.0ms208×0valid
Compiler

Compiled 233 to 187 computations (19.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 8.0ms (51.9% of total)
ival-div: 3.0ms (19.5% of total)
ival-sqrt: 2.0ms (13% of total)
ival-sub: 1.0ms (6.5% of total)
ival-add: 1.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047218
154218
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
(if (<=.f64 rand #s(literal -10000000000000000795623248612804971431562261401669105159386439973487930752201761134141767680 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))) (if (<=.f64 rand #s(literal 9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))))
(if (<=.f64 rand #s(literal -11499999999999999558028190154926552026324120041358050777786773169035760527638462711531044864 binary64)) (fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (if (<=.f64 rand #s(literal 6500000000000000186575686278370882953544177326768983901011689667066530375452576384111194065673430410813824303104 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
(if (<=.f64 rand #s(literal -10000000000000000795623248612804971431562261401669105159386439973487930752201761134141767680 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))) (if (<=.f64 rand #s(literal 9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))))
(if (<=.f64 rand #s(literal -11499999999999999558028190154926552026324120041358050777786773169035760527638462711531044864 binary64)) (fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (if (<=.f64 rand #s(literal 6500000000000000186575686278370882953544177326768983901011689667066530375452576384111194065673430410813824303104 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))

soundness857.0ms (8.6%)

Memory
-5.5MiB live, 586.7MiB allocated
Rules
13 794×lower-fma.f64
13 794×lower-fma.f32
13 334×lower-fma.f64
13 334×lower-fma.f32
11 972×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05994049
118053423
259873302
081833068
03331781
110131561
233771491
379291491
083251388
07565961
123895204
081464819
01346
02246
17840
254640
3649340
0817336
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 150 to 80 computations (46.7% saved)

preprocess49.0ms (0.5%)

Memory
1.5MiB live, 122.4MiB allocated
Compiler

Compiled 198 to 76 computations (61.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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