Octave 3.8, oct_fill_randg

Time bar (total: 11.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze31.0ms (0.3%)

Memory
-25.7MiB live, 17.9MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%50%0.1%0%50%0%2
0%0%50%0.1%0%50%0%3
50%25%25%0.1%0%50%0%4
50%25%25%0.1%0%50%0%5
66.7%25%12.5%0.1%0%62.4%0%6
66.7%25%12.5%0.1%0%62.4%0%7
80%25%6.2%0.1%0%68.7%0%8
80%25%6.2%0.1%0%68.7%0%9
88.9%25%3.1%0.1%0%71.8%0%10
88.9%25%3.1%0.1%0%71.8%0%11
94.1%25%1.6%0.1%0%73.4%0%12
Compiler

Compiled 22 to 15 computations (31.8% saved)

sample1.6s (14.1%)

Memory
36.5MiB live, 1 504.1MiB allocated
Samples
1.1s8 256×0valid
110.0ms493×0invalid
Precisions
Click to see histograms. Total time spent on operations: 898.0ms
ival-mult: 352.0ms (39.2% of total)
ival-sub: 213.0ms (23.7% of total)
ival-sqrt: 147.0ms (16.4% of total)
ival-div: 129.0ms (14.4% of total)
ival-add: 37.0ms (4.1% of total)
exact: 10.0ms (1.1% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain242.0ms (2.1%)

Memory
-6.4MiB live, 339.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
00-0-a
00-0-rand
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-#s(literal 9 binary64)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
00-0-(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
00-0-(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
00-0-(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
42.0ms496×0valid
2.0ms10×1valid
1.0ms4×2valid
1.0ms2×5exit
Compiler

Compiled 194 to 43 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 9.0ms (32.3% of total)
ival-mult: 9.0ms (32.3% of total)
ival-sqrt: 4.0ms (14.4% of total)
ival-sub: 2.0ms (7.2% of total)
ival-add: 2.0ms (7.2% of total)
adjust: 1.0ms (3.6% of total)
exact: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess271.0ms (2.4%)

Memory
31.4MiB live, 148.7MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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))))))
Compiler

Compiled 22 to 13 computations (40.9% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Compiler

Compiled 22 to 13 computations (40.9% saved)

simplify139.0ms (1.2%)

Memory
-58.7MiB live, 100.2MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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

localize48.0ms (0.4%)

Memory
-0.5MiB live, 74.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.08984375
(*.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)))
accuracy0.1328125
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
accuracy0.2421875
(*.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)
accuracy0.29296875
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
Samples
31.0ms248×0valid
1.0ms5×1valid
0.0ms2×2valid
0.0ms1×5exit
Compiler

Compiled 86 to 15 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 15.0ms (61.7% of total)
ival-mult: 4.0ms (16.5% of total)
ival-sqrt: 2.0ms (8.2% of total)
ival-sub: 1.0ms (4.1% of total)
ival-add: 1.0ms (4.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
0.0MiB live, 36.0MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(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) (patch (*.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) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))) (patch (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(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))) (patch (*.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))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) (patch (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (* rand (sqrt -3))) (taylor 0 a) (#s(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) (patch (*.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) #<representation binary64>) () ())) ())
#s(alt (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))) (taylor 0 a) (#s(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) (patch (*.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) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(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) (patch (*.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) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(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) (patch (*.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) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf a) (#s(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) (patch (*.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) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))) (taylor inf a) (#s(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) (patch (*.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) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(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) (patch (*.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) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf a) (#s(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) (patch (*.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) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))) (taylor -inf a) (#s(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) (patch (*.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) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (taylor -inf a) (#s(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) (patch (*.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) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf a) (#s(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) (patch (*.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) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf a) (#s(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) (patch (*.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) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))) (taylor 0 rand) (#s(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) (patch (*.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) #<representation binary64>) () ())) ())
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#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(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))) (patch (*.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))) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor -inf rand) (#s(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))) (patch (*.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))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) (taylor -inf rand) (#s(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))) (patch (*.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))) #<representation binary64>) () ())) ())
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#s(alt (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3))) (taylor 0 a) (#s(alt (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) (patch (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) (patch (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) (patch (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
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#s(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))))))) (taylor inf a) (#s(alt (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) (patch (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) (patch (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf a) (#s(alt (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) (patch (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) (patch (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
Calls

21 calls:

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

simplify340.0ms (2.9%)

Memory
27.5MiB live, 384.1MiB allocated
Algorithm
1×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
233781491
379251491
083211388
Stop Event
1×iter limit
1×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))))))
(* 1/3 (sqrt -3))
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))
(* 1/3 (sqrt (/ 1 a)))
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(* 3 (sqrt -1/3))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(* 3 (sqrt a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
Outputs
(* 1/3 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 rand a)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 rand (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (*.f64 #s(literal -27/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(fma.f64 a (fma.f64 rand (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 a (*.f64 #s(literal 405/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* (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)))))
(-.f64 (*.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 a)) (sqrt.f64 #s(literal -9 binary64))) (*.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))))) (*.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 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 rand (/.f64 #s(literal 1/2 binary64) (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))))))))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (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 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (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 #s(literal 45/16 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (*.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (+.f64 #s(literal 1/18 binary64) (*.f64 #s(literal -1/6 binary64) a)))) #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))))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.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 1/3 binary64) rand) #s(literal 1 binary64)) (/.f64 #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 (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)))) (*.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)
(* 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)))))
(*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64))) (neg.f64 a))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(*.f64 a (+.f64 (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -9 binary64))) #s(literal 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 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/3 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)) a)) a)))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* 1/3 (sqrt -3))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))
(fma.f64 #s(literal -3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(fma.f64 #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 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))
(fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a 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)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 a)) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (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)))))
(* 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 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (*.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))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (fma.f64 a (/.f64 #s(literal 3/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 a (*.f64 (neg.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)))))
(* -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 a (neg.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)))))))

rewrite286.0ms (2.5%)

Memory
-17.8MiB live, 370.7MiB allocated
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
1×iter limit
1×node limit
1×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)))
(/.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)))))
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))))
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(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)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (+.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 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a))
(fma.f64 (*.f64 a (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) rand (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 a rand) (/.f64 #s(literal 1/3 binary64) (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 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #s(literal -1 binary64)) (/.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 (+.f64 a #s(literal -1/3 binary64)) 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 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.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 (fma.f64 a (*.f64 a a) #s(literal -1/27 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 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 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 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 #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 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #s(literal 1 binary64)) (/.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 (+.f64 a #s(literal -1/3 binary64)) rand) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) #s(literal -1 binary64) (+.f64 a #s(literal -1/3 binary64)))
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(*.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.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))))))) (fma.f64 (fma.f64 rand (/.f64 rand (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (/.f64 (neg.f64 rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (*.f64 (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (*.f64 (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal -1 binary64)))) #s(literal 1 binary64))) (fma.f64 (fma.f64 rand (/.f64 rand (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (/.f64 (neg.f64 rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (-.f64 (fma.f64 rand (/.f64 rand (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (/.f64 (neg.f64 rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.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 (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (*.f64 (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #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 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (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 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (fma.f64 a (*.f64 a a) #s(literal -1/27 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 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (fma.f64 a (*.f64 a a) #s(literal -1/27 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 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (fma.f64 a a #s(literal -1/9 binary64))) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (fma.f64 a a #s(literal -1/9 binary64))) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (+.f64 a #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 (*.f64 rand rand) (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 (/.f64 (*.f64 (+.f64 a #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 (*.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 (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))))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (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 -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(/.f64 #s(literal -1/3 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)))) #s(literal 3 binary64))
(/.f64 (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)))
(pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 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 -2 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 -1/4 binary64))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (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)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64)))
(*.f64 (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) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (*.f64 #s(literal 1 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 #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 #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)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 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 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 -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 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 1/4 binary64)))
(-.f64 #s(literal 0 binary64) (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)))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (sqrt.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) (*.f64 a (*.f64 a a)) #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))
(/.f64 (*.f64 #s(literal 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 #s(literal 3 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) #s(literal 3 binary64)) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))
(/.f64 (/.f64 #s(literal 1 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)))
(pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 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 2 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 1/4 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))
(*.f64 (neg.f64 (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)) (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)) #s(literal 1 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)) #s(literal 1 binary64)))
(*.f64 #s(literal -3 binary64) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64)))

eval116.0ms (1%)

Memory
28.0MiB live, 106.1MiB allocated
Compiler

Compiled 14 492 to 1 935 computations (86.6% saved)

prune87.0ms (0.8%)

Memory
-15.9MiB live, 213.4MiB 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
▶99.8%
(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)))
▶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)))
56.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (fma.f64 a a #s(literal -1/9 binary64)))))
99.8%
(*.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))))
97.4%
#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))
▶58.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
42.0%
#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)))
▶77.7%
#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 262 to 170 computations (35.1% saved)

simplify290.0ms (2.5%)

Memory
3.5MiB live, 378.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 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
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
cost-diff0
(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))
cost-diff0
#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))))
cost-diff832
(*.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)))
cost-diff0
(+.f64 a #s(literal -1/3 binary64))
cost-diff0
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
cost-diff0
#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))))
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)))
cost-diff0
(+.f64 a #s(literal -1/3 binary64))
cost-diff0
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
cost-diff0
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
cost-diff0
(+.f64 a #s(literal -1/3 binary64))
cost-diff0
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
cost-diff64
(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)))
Rules
11 394×lower-fma.f32
11 384×lower-fma.f64
2 882×lower--.f64
2 882×lower--.f32
2 630×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033225
052221
1103211
2223210
3573210
41595210
53314210
66346210
08229204
Stop Event
1×iter limit
1×node limit
1×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 (* (/ 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 (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 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))))
(*.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
(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(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 (+.f64 a #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)))) (+.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
(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)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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)))
(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)) (+ 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 (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))) (fma.f64 #s(literal 1/3 binary64) (fma.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64)) a))
(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)
(*.f64 rand #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
rand
#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 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) (fma.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64)) a))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64)) a)
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(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 (+.f64 a #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)))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #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)))

localize168.0ms (1.5%)

Memory
-18.4MiB live, 221.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
accuracy0.1171875
(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)))
accuracy0.23828125
(/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
accuracy0.28515625
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
accuracy0.00390625
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
accuracy0.01171875
(/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
accuracy0.14453125
(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))
accuracy14.221035207349631
(*.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)))
accuracy0.00390625
(+.f64 a #s(literal -1/3 binary64))
accuracy0.00390625
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
accuracy0.1171875
(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)))
accuracy0.30859375
(*.f64 #s(literal 1/3 binary64) rand)
accuracy0.00390625
(+.f64 a #s(literal -1/3 binary64))
accuracy26.36486532406993
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
accuracy0.00390625
(+.f64 a #s(literal -1/3 binary64))
accuracy0.09375
(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)))
accuracy0.13671875
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
accuracy0.30078125
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
Samples
86.0ms249×0valid
43.0ms5×1valid
1.0ms2×2valid
Compiler

Compiled 218 to 37 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-add: 48.0ms (51.5% of total)
ival-mult: 19.0ms (20.4% of total)
ival-div: 8.0ms (8.6% of total)
const: 7.0ms (7.5% of total)
ival-sub: 6.0ms (6.4% of total)
ival-sqrt: 5.0ms (5.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series38.0ms (0.3%)

Memory
9.3MiB live, 82.4MiB allocated
Counts
16 → 312
Calls
Call 1
Inputs
#s(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))) (patch (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))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 a #s(literal -1/3 binary64)) (patch (+.f64 a #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(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))) (patch (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))) #<representation binary64>) () ())
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (patch (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(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))) (patch (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))) #<representation binary64>) () ())
#s(alt (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (patch (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) rand) (patch (*.f64 #s(literal 1/3 binary64) rand) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())
Outputs
#s(alt (- (* -1/3 (* rand (sqrt -1/3))) 1/3) (taylor 0 a) (#s(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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3) (taylor 0 a) (#s(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))) (patch (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))) #<representation binary64>) () ())) ())
#s(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) (taylor 0 a) (#s(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))) (patch (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))) #<representation binary64>) () ())) ())
#s(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) (taylor 0 a) (#s(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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a)))) (taylor inf a) (#s(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))) (patch (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))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf a) (#s(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))) (patch (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))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf a) (#s(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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1))) (taylor -inf a) (#s(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))) (patch (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))) #<representation binary64>) () ())) ())
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#s(alt (* rand (sqrt (/ 1 (- a 1/3)))) (taylor -inf rand) (#s(alt (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (patch (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (/ 1 (- a 1/3)))) (taylor -inf rand) (#s(alt (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (patch (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (/ 1 (- a 1/3)))) (taylor -inf rand) (#s(alt (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (patch (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt -3)) (taylor 0 a) (#s(alt (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (patch (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3))) (taylor 0 a) (#s(alt (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (patch (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3))) (taylor 0 a) (#s(alt (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (patch (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (patch (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor inf a) (#s(alt (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (patch (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)) (taylor inf a) (#s(alt (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (patch (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))) (taylor inf a) (#s(alt (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (patch (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf a) (#s(alt (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (patch (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor -inf a) (#s(alt (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (patch (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)) (taylor -inf a) (#s(alt (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (patch (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))) (taylor -inf a) (#s(alt (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (patch (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf a) (#s(alt (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (patch (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor 0 rand) (#s(alt (*.f64 #s(literal 1/3 binary64) rand) (patch (*.f64 #s(literal 1/3 binary64) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor 0 rand) (#s(alt (*.f64 #s(literal 1/3 binary64) rand) (patch (*.f64 #s(literal 1/3 binary64) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor 0 rand) (#s(alt (*.f64 #s(literal 1/3 binary64) rand) (patch (*.f64 #s(literal 1/3 binary64) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor 0 rand) (#s(alt (*.f64 #s(literal 1/3 binary64) rand) (patch (*.f64 #s(literal 1/3 binary64) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor inf rand) (#s(alt (*.f64 #s(literal 1/3 binary64) rand) (patch (*.f64 #s(literal 1/3 binary64) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor inf rand) (#s(alt (*.f64 #s(literal 1/3 binary64) rand) (patch (*.f64 #s(literal 1/3 binary64) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor inf rand) (#s(alt (*.f64 #s(literal 1/3 binary64) rand) (patch (*.f64 #s(literal 1/3 binary64) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor inf rand) (#s(alt (*.f64 #s(literal 1/3 binary64) rand) (patch (*.f64 #s(literal 1/3 binary64) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor -inf rand) (#s(alt (*.f64 #s(literal 1/3 binary64) rand) (patch (*.f64 #s(literal 1/3 binary64) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor -inf rand) (#s(alt (*.f64 #s(literal 1/3 binary64) rand) (patch (*.f64 #s(literal 1/3 binary64) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor -inf rand) (#s(alt (*.f64 #s(literal 1/3 binary64) rand) (patch (*.f64 #s(literal 1/3 binary64) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor -inf rand) (#s(alt (*.f64 #s(literal 1/3 binary64) rand) (patch (*.f64 #s(literal 1/3 binary64) rand) #<representation binary64>) () ())) ())
#s(alt (/ -1/3 rand) (taylor 0 a) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (- (/ a rand) (* 1/3 (/ 1 rand))) (taylor 0 a) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (- (/ a rand) (* 1/3 (/ 1 rand))) (taylor 0 a) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (- (/ a rand) (* 1/3 (/ 1 rand))) (taylor 0 a) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (/ a rand) (taylor inf a) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand))))) (taylor inf a) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand))))) (taylor inf a) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand))))) (taylor inf a) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (/ a rand) (taylor -inf a) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand)))) (taylor -inf a) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand)))) (taylor -inf a) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand)))) (taylor -inf a) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (/ (- a 1/3) rand) (taylor 0 rand) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (/ (- a 1/3) rand) (taylor 0 rand) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (/ (- a 1/3) rand) (taylor 0 rand) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (/ (- a 1/3) rand) (taylor 0 rand) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (/ (- a 1/3) rand) (taylor inf rand) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (/ (- a 1/3) rand) (taylor inf rand) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (/ (- a 1/3) rand) (taylor inf rand) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (/ (- a 1/3) rand) (taylor inf rand) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (/ (- a 1/3) rand) (taylor -inf rand) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (/ (- a 1/3) rand) (taylor -inf rand) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (/ (- a 1/3) rand) (taylor -inf rand) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (/ (- a 1/3) rand) (taylor -inf rand) (#s(alt (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())) ())
Calls

78 calls:

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

simplify357.0ms (3.1%)

Memory
34.2MiB live, 550.0MiB allocated
Algorithm
1×egg-herbie
Rules
12 122×lower-fma.f64
12 122×lower-fma.f32
6 184×lower-*.f64
6 184×lower-*.f32
5 042×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07236038
122785225
276255225
080024856
Stop Event
1×iter limit
1×node limit
Counts
312 → 310
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))) (* 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)))
(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 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1/3 (+ 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))))))
(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)))))))
(- 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 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(- (* 1/3 (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)))
-1/9
(- (* 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)))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(/ -1/3 rand)
(- (/ 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)
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))) (* rand (sqrt -1/3)))))) 1/3)
(fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (fma.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))) #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))))) (* rand (sqrt -1/3))))))) 1/3)
(fma.f64 a (+.f64 (fma.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 a (fma.f64 rand (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 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 (+ (* -1/2 (/ 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 #s(literal 1 binary64) (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 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64)))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 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 rand #s(literal 1/3 binary64))) 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 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/9 (* (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 (+.f64 (fma.f64 rand (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #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)))))) (+.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)))
(neg.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (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)) (neg.f64 a))) 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)) (neg.f64 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)))
(neg.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.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 (/.f64 #s(literal 1 binary64) a)) #s(literal 0 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/18 binary64) rand))) (neg.f64 a))) (neg.f64 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)
(fma.f64 (*.f64 rand (+.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 #s(literal -1/3 binary64) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 rand (+.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 #s(literal -1/3 binary64) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 rand (+.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 #s(literal -1/3 binary64) a))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (*.f64 rand (+.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 (*.f64 rand (+.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 (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 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (*.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))) (/.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 a (fma.f64 a (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 (/.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 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 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #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 (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)))) (neg.f64 a))
(* -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))))))
(neg.f64 (*.f64 a (-.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 #s(literal 1/18 binary64) (sqrt.f64 a))) a)) a))))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 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 #s(literal 1/3 binary64) (/.f64 a a) (neg.f64 a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 a a) (neg.f64 a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 a a) (neg.f64 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 (-.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 (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 #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 5 binary64)))) #s(literal -1/24 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) (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))))))))
(neg.f64 (*.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 #s(literal -1/144 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 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)))))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal -1/9 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/3 binary64))
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(*.f64 a (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 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal -1/216 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))) (/.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 (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 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 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(neg.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 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))) 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)))
(neg.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand)) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (*.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)))) (neg.f64 a))) a)) a (neg.f64 a)))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 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 rand #s(literal 1/3 binary64)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 (neg.f64 a) #s(literal 1/3 binary64)) rand)) (neg.f64 rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 (neg.f64 a) #s(literal 1/3 binary64)) rand)) (neg.f64 rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 (neg.f64 a) #s(literal 1/3 binary64)) rand)) (neg.f64 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 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -9/2 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 (sqrt.f64 #s(literal -3 binary64))) #s(literal -9/2 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 rand (*.f64 a #s(literal 405/8 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -81/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -9/2 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)))
(fma.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))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal 1/18 binary64))))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 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)))
(fma.f64 rand (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))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal -1/6 binary64) 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)))
(fma.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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/18 binary64) rand))) (neg.f64 (*.f64 a (*.f64 a a)))))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(/ -1/3 rand)
(/.f64 #s(literal -1/3 binary64) rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ a rand)
(/.f64 a rand)
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(+.f64 (/.f64 a rand) (*.f64 a (/.f64 #s(literal -1/3 binary64) (*.f64 rand a))))
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(+.f64 (/.f64 a rand) (*.f64 a (/.f64 #s(literal -1/3 binary64) (*.f64 rand a))))
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(+.f64 (/.f64 a rand) (*.f64 a (/.f64 #s(literal -1/3 binary64) (*.f64 rand a))))
(/ a rand)
(/.f64 a rand)
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(neg.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 rand a)) (/.f64 #s(literal -1 binary64) rand))))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(neg.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 rand a)) (/.f64 #s(literal -1 binary64) rand))))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(neg.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 rand a)) (/.f64 #s(literal -1 binary64) rand))))
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)

rewrite470.0ms (4.1%)

Memory
2.3MiB live, 445.8MiB allocated
Rules
5 372×lower-fma.f32
5 362×lower-fma.f64
5 056×lower-/.f32
5 050×lower-/.f64
3 512×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033182
052177
1231166
22183166
08635165
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 1 028
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))
(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)))
(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))) (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 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 (* (/ 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))))
(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))
(*.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))))
(*.f64 #s(literal 1/3 binary64) rand)
(/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
Outputs
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(+.f64 #s(literal -1/3 binary64) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(+.f64 (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64))
(+.f64 (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a))
(+.f64 (*.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal -1/3 binary64)) a)
(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (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 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal 1/3 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (/.f64 (*.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 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))))
(-.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 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)) (-.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64))))
(fma.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 rand #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 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #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)))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 a #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)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.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)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #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 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 rand #s(literal 1 binary64)) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (fma.f64 a #s(literal 1/3 binary64) #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 (+.f64 a #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)))
(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 (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 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) rand) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 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 #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #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 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #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 a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #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 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 rand rand) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal -1 binary64)) (/.f64 rand rand) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 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)) #s(literal 3 binary64)) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 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 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #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))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (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(literal -1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 rand)) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 rand rand) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 rand rand) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #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 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #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 a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #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 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #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)))) (+.f64 a #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 a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (+.f64 a #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))) (+.f64 a #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)))) (+.f64 a #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 a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.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))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #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 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal 3 binary64)) (/.f64 rand (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))) (fma.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))) (*.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 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (fma.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 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))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a a #s(literal -1/9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.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 (+.f64 a #s(literal -1/3 binary64)) rand)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a a (fma.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 a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))))
(/.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 (+.f64 a #s(literal -1/3 binary64)) rand)))))
(/.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 (+.f64 a #s(literal -1/3 binary64)) rand) (-.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 a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (fma.f64 a a (fma.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 (+.f64 a #s(literal -1/3 binary64)) rand) (+.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 (-.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 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a a (fma.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 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.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 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.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 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 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 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 (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 (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 (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 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 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (*.f64 (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 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 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand (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 (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (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 (-.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 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (fma.f64 a a (fma.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 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 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 a #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64)))) (fma.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (*.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64)) (-.f64 (*.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)) #s(literal 1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 (+.f64 a #s(literal -1/3 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 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
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#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
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(+.f64 #s(literal -1/3 binary64) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a))
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(-.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal 1/3 binary64))
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(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (-.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 (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)) (-.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal -1/3 binary64))))
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(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
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(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) rand) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.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)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a))))
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(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))) (*.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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (neg.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))))
(/.f64 (fma.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)) #s(literal -1/27 binary64)) (fma.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) 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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand))) (-.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 (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)) #s(literal 1/9 binary64)) (-.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal -1/3 binary64)))
(/.f64 (*.f64 rand (fma.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))))) (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 rand (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)))) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))) rand) (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand))) rand) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(/.f64 (neg.f64 (*.f64 rand (fma.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))))) (neg.f64 (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 rand (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand))))) (neg.f64 (-.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 (neg.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))) rand)) (neg.f64 (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand))) rand)) (neg.f64 (-.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 (neg.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))) (*.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 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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) 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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)))) (neg.f64 (-.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 (neg.f64 (-.f64 (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal -1/3 binary64))))
(/.f64 (fma.f64 a (*.f64 a a) (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))) (*.f64 a (+.f64 #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 -1/27 binary64) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)) (*.f64 #s(literal -1/3 binary64) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (*.f64 a (*.f64 a a))) (fma.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) (-.f64 (*.f64 a a) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) a))))
(/.f64 (-.f64 (*.f64 a (*.f64 a a)) (pow.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/3 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))))
(/.f64 (-.f64 (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a))) #s(literal 1/27 binary64)) (fma.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (+.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a))) #s(literal -1 binary64))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(*.f64 (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)
(*.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)))))
(*.f64 (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 #s(literal -1/3 binary64) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)))
(exp.f64 (*.f64 (log.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 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 (fma.f64 a a (fma.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 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 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (sqrt.f64 (fma.f64 a a (fma.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 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64))))))
(/.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 (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 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.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 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.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 a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(/.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 (sqrt.f64 (-.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 (*.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)))))
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(/.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 (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))))))
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(/.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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64))
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(pow.f64 (exp.f64 (log.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/2 binary64))
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(*.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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)))
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(+.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(+.f64 #s(literal -1/3 binary64) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a))
(+.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 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal -1/3 binary64))
(+.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) a)
(-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(-.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal 1/3 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))))
(-.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 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (-.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 (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)) (-.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal -1/3 binary64))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (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))))))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 rand #s(literal 1 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (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 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) rand) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand (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 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 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #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 a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #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 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 rand rand) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal -1 binary64)) (/.f64 rand rand) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 rand)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 rand rand) (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 rand rand) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #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 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #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 a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #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 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 rand (fma.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 rand (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))) rand)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand))) rand)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))) (*.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 (fma.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal -1/3 binary64)))) (fma.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal -1/3 binary64)) (-.f64 (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)) #s(literal 1/9 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)))))
(/.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand))))
(/.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))) (*.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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))) (*.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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (neg.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))))
(/.f64 (fma.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)) #s(literal -1/27 binary64)) (fma.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) 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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand))) (-.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 (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)) #s(literal 1/9 binary64)) (-.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal -1/3 binary64)))
(/.f64 (*.f64 rand (fma.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))))) (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 rand (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)))) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))) rand) (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand))) rand) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(/.f64 (neg.f64 (*.f64 rand (fma.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))))) (neg.f64 (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 rand (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand))))) (neg.f64 (-.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 (neg.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))) rand)) (neg.f64 (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand))) rand)) (neg.f64 (-.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 (neg.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))) (*.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 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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) 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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)))) (neg.f64 (-.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 (neg.f64 (-.f64 (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal -1/3 binary64))))
(/.f64 (fma.f64 a (*.f64 a a) (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))) (*.f64 a (+.f64 #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 -1/27 binary64) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)) (*.f64 #s(literal -1/3 binary64) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (*.f64 a (*.f64 a a))) (fma.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) (-.f64 (*.f64 a a) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) a))))
(/.f64 (-.f64 (*.f64 a (*.f64 a a)) (pow.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/3 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))))
(/.f64 (-.f64 (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a))) #s(literal 1/27 binary64)) (fma.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (+.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a))) #s(literal -1 binary64))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(*.f64 (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)
(*.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)))))
(*.f64 (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 #s(literal -1/3 binary64) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)))
(+.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 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))
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(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
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(fma.f64 (/.f64 #s(literal 1 binary64) rand) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))))) (fma.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
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(/.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))) (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))) (+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))))) (neg.f64 (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
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(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (-.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))))))
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(*.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand))) (/.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 (*.f64 a #s(literal 1/3 binary64)) #s(literal -1/9 binary64))
(+.f64 #s(literal -1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))
(fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))
(fma.f64 #s(literal 1/3 binary64) a #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
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(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1/3 binary64)) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
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(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (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 1/3 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (neg.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 a a #s(literal -1/9 binary64)))) (neg.f64 (+.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)) #s(literal 1/3 binary64))) (neg.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64) #s(literal -1/729 binary64)) (fma.f64 (*.f64 a #s(literal 1/3 binary64)) (*.f64 a #s(literal 1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))))
(/.f64 (+.f64 #s(literal -1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 (*.f64 a #s(literal 1/3 binary64)) (*.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal -1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(+.f64 #s(literal -1/3 binary64) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(+.f64 (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64))
(+.f64 (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a))
(+.f64 (*.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal -1/3 binary64)) a)
(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (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 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal 1/3 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (/.f64 (*.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 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))))
(-.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 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)) (-.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64))))
(fma.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 rand #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 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #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)))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 a #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)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.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)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #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 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 rand #s(literal 1 binary64)) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (fma.f64 a #s(literal 1/3 binary64) #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 (+.f64 a #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)))
(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 (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 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) rand) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 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 #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #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 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #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 a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #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 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 rand rand) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal -1 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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(fma.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 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)) #s(literal 3 binary64)) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 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 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #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))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (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(literal -1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 rand)) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 rand rand) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 rand rand) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #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 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #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 a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #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 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #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)))) (+.f64 a #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 a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (+.f64 a #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))) (+.f64 a #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)))) (+.f64 a #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 a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.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))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #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 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal 3 binary64)) (/.f64 rand (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))) (fma.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))) (*.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 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (fma.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 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))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a a #s(literal -1/9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.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 (+.f64 a #s(literal -1/3 binary64)) rand)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a a (fma.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 a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))))
(/.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 (+.f64 a #s(literal -1/3 binary64)) rand)))))
(/.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 (+.f64 a #s(literal -1/3 binary64)) rand) (-.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 a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (fma.f64 a a (fma.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 (+.f64 a #s(literal -1/3 binary64)) rand) (+.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 (-.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 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a a (fma.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 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.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 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.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 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 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 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 (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 (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 (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 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 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (*.f64 (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 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 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand (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 (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (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 (-.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 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (fma.f64 a a (fma.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 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 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 a #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64)))) (fma.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (*.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)) #s(literal -1/27 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.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 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (fma.f64 (/.f64 (*.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 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (/.f64 (*.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 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (/.f64 (*.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 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 rand (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(neg.f64 (/.f64 rand (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(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) (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 (neg.f64 rand) (neg.f64 (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 (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))
(*.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))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
(exp.f64 (*.f64 (log.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))
(-.f64 (/.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) rand) (/.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) rand))
(-.f64 (/.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) rand) (/.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) rand))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 rand)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 rand)))
(-.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (/.f64 #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 (*.f64 a (*.f64 a a)) (*.f64 rand (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/27 binary64) (*.f64 rand (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(-.f64 (/.f64 (*.f64 a a) (*.f64 rand (+.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (*.f64 rand (+.f64 a #s(literal 1/3 binary64)))))
(neg.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 rand)))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
(/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))))
(/.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 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))
(/.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 (-.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 (fma.f64 a a (fma.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 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 (-.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 (fma.f64 a a (fma.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 a #s(literal 1/3 binary64)) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) rand))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (neg.f64 rand))
(/.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 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 rand (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 rand (+.f64 a #s(literal 1/3 binary64))))
(/.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 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) 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 (+.f64 #s(literal 1/3 binary64) (neg.f64 a))) (neg.f64 (neg.f64 rand)))
(/.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 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (neg.f64 (*.f64 rand (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(/.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)) (-.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 #s(literal 1 binary64) rand)) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(/.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 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) rand)))
(/.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 (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) 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 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (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 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.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 a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.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))))
(/.f64 (-.f64 (pow.f64 (/.f64 a rand) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) rand) #s(literal 3 binary64))) (fma.f64 (/.f64 a rand) (/.f64 a rand) (fma.f64 (/.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1/3 binary64) rand) (*.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand)))))
(pow.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (/.f64 #s(literal 1 binary64) (neg.f64 rand)))
(*.f64 (/.f64 #s(literal 1 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 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 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(*.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 (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) rand) (/.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 binary64)))
(*.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) rand) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) rand) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) rand))
(*.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) rand))
(*.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) rand))
(*.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) rand))

eval491.0ms (4.3%)

Memory
24.0MiB live, 628.0MiB allocated
Compiler

Compiled 62 085 to 4 282 computations (93.1% saved)

prune386.0ms (3.4%)

Memory
0.1MiB live, 774.8MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New2 389122 401
Fresh314
Picked415
Done000
Total2 396142 410
Accuracy
100.0%
Counts
2 410 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.5%
(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)))
41.4%
(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)))
99.8%
(*.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))))))
▶97.4%
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a))
42.0%
#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 rand #s(literal 1/3 binary64))))
▶99.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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))))
98.9%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
61.3%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
✓58.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
36.7%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
▶58.4%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
76.3%
#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))) #s(approx (/ (+ a -1/3) rand) (/.f64 a rand)))))
▶42.0%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))))
▶1.6%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
Compiler

Compiled 330 to 208 computations (37% saved)

simplify515.0ms (4.5%)

Memory
-39.4MiB live, 250.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
cost-diff0
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)
cost-diff0
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a))
cost-diff0
(+.f64 a #s(literal -1/3 binary64))
cost-diff0
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
cost-diff0
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
cost-diff1792
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
cost-diff0
#s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
cost-diff0
(*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))
cost-diff0
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))))
cost-diff0
#s(approx (+ a -1/3) #s(literal -1/3 binary64))
cost-diff0
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
cost-diff0
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)
cost-diff0
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))))
cost-diff128
(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)))
Rules
5 224×lower-fma.f32
5 220×lower-fma.f64
2 200×lower-*.f32
2 188×lower-*.f64
1 218×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048284
065272
1111262
2242262
3570262
41204262
51707262
62832262
74355262
85676262
96232262
106361262
116475262
126567262
136577262
146577262
156581262
166581262
176581262
187342262
197687262
207687262
217687262
227687262
237693262
07693252
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
rand
#s(literal 1/3 binary64)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #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)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))))
(*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))
rand
#s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
#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
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.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))) (sqrt.f64 (+.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)
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)
a
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 rand #s(literal 1/3 binary64))
rand
#s(literal 1/3 binary64)
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) (fma.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64)) a))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64)) a)
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)
(*.f64 rand (sqrt.f64 (+.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)
rand
#s(literal 1/3 binary64)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #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)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))
(*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
rand
#s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
#s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
#s(literal 1/3 binary64)
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+.f64 #s(literal -1/3 binary64) a)
(+.f64 a #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
a
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.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)))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(+.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)
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 a (*.f64 #s(literal 1/3 binary64) rand)) a))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) 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 rand #s(literal 1/3 binary64)))
(*.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 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
rand
#s(literal 1/3 binary64)

localize347.0ms (3%)

Memory
3.6MiB live, 197.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
accuracy0.296875
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
accuracy0.30859375
(*.f64 rand #s(literal 1/3 binary64))
accuracy1.5213383492685435
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a))
accuracy0.00390625
(+.f64 a #s(literal -1/3 binary64))
accuracy0.00390625
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
accuracy0.4765625
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
accuracy26.36486532406993
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
accuracy0.00390625
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
accuracy0.39453125
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
accuracy14.221035207349631
(*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))
accuracy37.10115018486387
#s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
accuracy26.36486532406993
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
accuracy63.299351455985416
#s(approx (+ a -1/3) #s(literal -1/3 binary64))
accuracy0.00390625
(+.f64 a #s(literal -1/3 binary64))
accuracy0.00390625
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
accuracy0.08984375
(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)))
accuracy0.203125
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)
Samples
140.0ms256×0valid
Compiler

Compiled 226 to 43 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 123.0ms
ival-sqrt: 61.0ms (49.4% of total)
ival-mult: 38.0ms (30.8% of total)
ival-div: 8.0ms (6.5% of total)
ival-add: 8.0ms (6.5% of total)
const: 6.0ms (4.9% of total)
ival-sub: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series66.0ms (0.6%)

Memory
34.6MiB live, 71.2MiB allocated
Counts
19 → 360
Calls
Call 1
Inputs
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (patch (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (patch (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ a -1/3) #s(literal -1/3 binary64)) (patch #s(approx (+ a -1/3) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) #<representation binary64>) () ())
#s(alt (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) (patch (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))) (patch #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (patch (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (patch (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #<representation binary64>) () ())
#s(alt (+.f64 a #s(literal -1/3 binary64)) (patch (+.f64 a #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) #<representation binary64>) () ())
#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (patch (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #<representation binary64>) () ())
#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3) (taylor 0 a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3) (taylor 0 a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(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) (taylor 0 a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(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) (taylor 0 a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a)))) (taylor inf a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a)))) (taylor inf a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1))) (taylor -inf a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1))) (taylor -inf a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor inf rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor -inf rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) (taylor -inf rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) (taylor -inf rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) (taylor -inf rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (taylor 0 a) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3))))))) (taylor 0 a) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 a) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<representation binary64>) () ())) ())
#s(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))))))))))))) (taylor 0 a) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (taylor inf a) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf a) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor inf a) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (taylor -inf a) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf a) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<representation binary64>) () ())) ())
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#s(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))))) (taylor -inf a) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) #<representation binary64>) () ())) ())
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#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor inf rand) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor -inf rand) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) (taylor -inf rand) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) (taylor -inf rand) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) (taylor -inf rand) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 rand) (#s(alt (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) (patch (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) (patch (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) (patch (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) (patch (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor inf rand) (#s(alt (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) (patch (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) (patch (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) (patch (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) (patch (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor -inf rand) (#s(alt (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) (patch (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) (taylor -inf rand) (#s(alt (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) (patch (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) (taylor -inf rand) (#s(alt (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) (patch (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) (taylor -inf rand) (#s(alt (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) (patch (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))) (taylor 0 a) (#s(alt (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) (patch (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) (taylor 0 a) (#s(alt (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) (patch (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) #<representation binary64>) () ())) ())
#s(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))))) (taylor 0 a) (#s(alt (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) (patch (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) #<representation binary64>) () ())) ())
#s(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))))) (taylor 0 a) (#s(alt (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) (patch (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3) (taylor 0 a) (#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) #<representation binary64>) () ())) ())
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#s(alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a)))) (taylor inf a) (#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf a) (#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1))) (taylor -inf a) (#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf a) (#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf a) (#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 rand) (#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3) (taylor 0 rand) (#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3) (taylor 0 rand) (#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3) (taylor 0 rand) (#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) #<representation binary64>) () ())) ())
#s(alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))) (taylor inf rand) (#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) #<representation binary64>) () ())) ())
#s(alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))) (taylor -inf rand) (#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand))))) (taylor -inf rand) (#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand))))) (taylor -inf rand) (#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand))))) (taylor -inf rand) (#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor 0 a) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 a) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 a) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 a) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1))) (taylor -inf a) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1))) (taylor -inf a) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1))) (taylor -inf a) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1))) (taylor -inf a) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 rand) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 rand) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 rand) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 rand) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor inf rand) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) (taylor inf rand) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) (taylor inf rand) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) (taylor inf rand) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor -inf rand) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a))))) (taylor -inf rand) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a))))) (taylor -inf rand) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a))))) (taylor -inf rand) (#s(alt (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) (patch (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 rand) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 rand) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 rand) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 rand) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf rand) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf rand) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf rand) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf rand) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf rand) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf rand) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 a)) (taylor 0 a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 a)) (taylor 0 a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 a)) (taylor 0 a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 a)) (taylor 0 a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 a)) (taylor inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 a)) (taylor inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 a)) (taylor inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 a)) (taylor inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (sqrt -1/3) (taylor 0 a) (#s(alt (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (patch (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3)))) (taylor 0 a) (#s(alt (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (patch (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (patch (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (patch (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (sqrt a) (taylor inf a) (#s(alt (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (patch (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3)))))) (taylor inf a) (#s(alt (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (patch (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5))))))) (taylor inf a) (#s(alt (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (patch (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor inf a) (#s(alt (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (patch (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (patch (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf a) (#s(alt (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (patch (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf a) (#s(alt (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (patch (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor 0 rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor 0 rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor 0 rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor 0 rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor inf rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor inf rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor inf rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor inf rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor -inf rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor -inf rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor -inf rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor -inf rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
Calls

90 calls:

TimeVariablePointExpression
36.0ms
a
@-inf
(sqrt (/ 1 a))
5.0ms
rand
@inf
(* (sqrt (/ 1 a)) (* rand 1/3))
1.0ms
rand
@0
(* (sqrt (/ 1 a)) (* rand 1/3))
1.0ms
a
@-inf
(+ (* a (* (sqrt (/ 1 a)) (* rand 1/3))) a)
1.0ms
a
@inf
(+ (* a (* (sqrt (/ 1 a)) (* rand 1/3))) a)

simplify322.0ms (2.8%)

Memory
-33.4MiB live, 501.2MiB allocated
Algorithm
1×egg-herbie
Rules
13 262×lower-fma.f64
13 262×lower-fma.f32
6 152×lower-*.f64
6 152×lower-*.f32
3 894×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06116595
119905717
271315717
080615303
Stop Event
1×iter limit
1×node limit
Counts
360 → 354
Calls
Call 1
Inputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1/3 (+ 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))))))
(* rand (sqrt -1/3))
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))
(* (sqrt a) rand)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1/3 (+ 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))))))
(- 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 (sqrt -1/3))
(+ (* 1/6 (/ a (sqrt -1/3))) (* 1/3 (sqrt -1/3)))
(+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (* 1/6 (/ 1 (sqrt -1/3))))))
(+ (* 1/3 (sqrt -1/3)) (* a (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/6 (/ 1 (sqrt -1/3))))))
(* 1/3 (sqrt a))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (* 1/3 (sqrt (/ 1 a))))))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* -1/1296 (sqrt (/ 1 (pow a 7)))) (* 1/3 (sqrt (/ 1 a)))))))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (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 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
-1/3
(- 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))))
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/3 (/ (pow (sqrt -1) 2) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1/3 (/ (pow (sqrt -1) 2) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1/3 (/ (pow (sqrt -1) 2) a)) (pow (sqrt -1) 2))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(- (* -1/3 (* 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) 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))
(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)
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 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(fma.f64 a (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (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 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) 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 (+ (* -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 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (+.f64 #s(literal 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 (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (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)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64))) (neg.f64 a) a)
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) a)) (neg.f64 a) a)
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(fma.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64))) (/.f64 (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1/18 binary64) #s(literal -1/3 binary64)) a)) (neg.f64 a) a)
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(fma.f64 (fma.f64 rand (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.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)))) (neg.f64 a))) (neg.f64 a))) (neg.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 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) (neg.f64 rand))) (neg.f64 rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) (neg.f64 rand))) (neg.f64 rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) (neg.f64 rand))) (neg.f64 rand))
(* -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 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))) (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))))))))))
(+.f64 a (fma.f64 a (fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 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)))))))))))))
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a
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a
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
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(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
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(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
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(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
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(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
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(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
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(- a 1/3)
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(- (+ 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)
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(- (+ 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))))
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(* 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))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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-1/3
#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))))
(+.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)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 a) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 a) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 a) 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 a (fma.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))) (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 (+ (* -1/2 (/ 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)
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(- (+ (* -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)
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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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)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64))) (neg.f64 a) a)
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
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(* -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)))
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(* -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)))
(fma.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64))) (/.f64 (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 0 binary64) (*.f64 rand (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)))) a))) a)) (neg.f64 a) a)
(- a 1/3)
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(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 rand (+.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 #s(literal -1/3 binary64) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 rand (+.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 #s(literal -1/3 binary64) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 rand (+.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 #s(literal -1/3 binary64) a))
(* (* 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))))
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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))))
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(* -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 a) rand))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (neg.f64 a) a)
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (neg.f64 a) a)
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (neg.f64 a) a)
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (neg.f64 a) a)
a
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(* 1/3 (* (sqrt a) rand))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
(* 1/3 (* (sqrt a) rand))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 a) (/.f64 a (neg.f64 rand))) (neg.f64 rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 a) (/.f64 a (neg.f64 rand))) (neg.f64 rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 a) (/.f64 a (neg.f64 rand))) (neg.f64 rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (-.f64 (/.f64 (*.f64 a #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (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) (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 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))))))
(* -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)))))
(*.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) a)) #s(literal -1 binary64))) (neg.f64 a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(neg.f64 (*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64))))))
(* -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 #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 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 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)

rewrite350.0ms (3%)

Memory
11.1MiB live, 425.6MiB allocated
Rules
5 050×lower-fma.f32
5 046×lower-fma.f64
4 838×lower-/.f32
4 836×lower-/.f64
4 146×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048256
065244
1255227
22399225
09133215
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 597
Calls
Call 1
Inputs
(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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #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)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))))
(*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))
#s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.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))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(+.f64 a #s(literal -1/3 binary64))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
(*.f64 rand #s(literal 1/3 binary64))
Outputs
(+.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a)
(-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))))
(-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal 1/3 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.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 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a)) (-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))))
(fma.f64 a #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
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(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand 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 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))))) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand 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 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))))
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(/.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))))
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(/.f64 (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (*.f64 a (*.f64 a a))) (fma.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) (-.f64 (*.f64 a a) (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a))))
(pow.f64 (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 rand #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)))))
(*.f64 (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.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 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)
(*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a #s(literal -1/3 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/4 binary64)))
(fabs.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(fabs.f64 (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.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) (sqrt.f64 (/.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (sqrt.f64 (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 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (sqrt.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (sqrt.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.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 1/9 binary64) (*.f64 a a))) (sqrt.f64 (-.f64 #s(literal -1/3 binary64) a)))
(/.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 (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 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.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 (*.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 (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 (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 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(/.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 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (sqrt.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (sqrt.f64 (*.f64 #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) (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 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.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 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (sqrt.f64 (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (fabs.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (fabs.f64 (sqrt.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (fabs.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (fabs.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(/.f64 (fabs.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (fabs.f64 (sqrt.f64 (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (fabs.f64 (sqrt.f64 (-.f64 #s(literal -1/3 binary64) a))))
(/.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 (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 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(/.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)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (neg.f64 (sqrt.f64 (-.f64 #s(literal -1/3 binary64) a))))
(pow.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 2 binary64))
(pow.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 a #s(literal -1/3 binary64)))) #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 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))) (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) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 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) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(*.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 (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 (pow.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #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)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))))
(*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64))))
(*.f64 #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64))) rand)
#s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64))
(*.f64 #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) a)
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) a))
(+.f64 (*.f64 #s(literal 1 binary64) a) #s(literal -1/3 binary64))
(exp.f64 (log.f64 (+.f64 a #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/2 binary64)))
(fabs.f64 (+.f64 a #s(literal -1/3 binary64)))
(fabs.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))
(fabs.f64 (-.f64 #s(literal 1/3 binary64) a))
(fabs.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(fabs.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64)))))
(fabs.f64 (-.f64 (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(-.f64 a #s(literal 1/3 binary64))
(-.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 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)))
(-.f64 (/.f64 (*.f64 a (*.f64 a a)) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/27 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #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 #s(literal 1 binary64) (/.f64 (-.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 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
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(pow.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 2 binary64))
(pow.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 a #s(literal -1/3 binary64)))) #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 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))) (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) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 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) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(*.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 (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 (pow.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64)))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)

eval236.0ms (2%)

Memory
36.7MiB live, 391.1MiB allocated
Compiler

Compiled 34 360 to 2 706 computations (92.1% saved)

prune238.0ms (2.1%)

Memory
-3.7MiB live, 606.5MiB allocated
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1 60091 609
Fresh358
Picked415
Done011
Total1 607161 623
Accuracy
100.0%
Counts
1 623 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.5%
(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)))
▶99.8%
(*.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))))))
97.4%
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 a #s(literal 1/3 binary64)) a))
▶97.5%
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
97.4%
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a))
97.4%
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a))) a a))
▶97.4%
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a))
41.0%
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* a (* (sqrt (/ 1 a)) (* rand 1/3))) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
42.0%
#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 rand #s(literal 1/3 binary64))))
▶61.3%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
99.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a))
✓58.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
36.7%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
58.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 a) a)))
✓1.6%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
▶57.4%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
Compiler

Compiled 325 to 203 computations (37.5% saved)

simplify364.0ms (3.2%)

Memory
-18.4MiB live, 285.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 rand #s(literal 1/3 binary64))
cost-diff0
(/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
cost-diff0
(fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a)
cost-diff0
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a))
cost-diff0
(sqrt.f64 a)
cost-diff0
(*.f64 (sqrt.f64 a) rand)
cost-diff0
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
cost-diff0
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
cost-diff0
(+.f64 a #s(literal -1/3 binary64))
cost-diff0
(*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
cost-diff0
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
cost-diff1024
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
cost-diff0
#s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a)
cost-diff0
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
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-diff0
(*.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))))))
Rules
13 350×lower-fma.f32
13 344×lower-fma.f64
4 310×lower-*.f32
4 302×lower-*.f64
2 380×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044216
061200
1107186
2257186
3624186
41949186
55424186
08253186
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.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)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
#s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a)
a
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
rand
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(*.f64 (sqrt.f64 a) rand)
(sqrt.f64 a)
a
rand
#s(literal 1/3 binary64)
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a))
(fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a)
a
(/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(*.f64 rand #s(literal 1/3 binary64))
rand
#s(literal 1/3 binary64)
(sqrt.f64 a)
Outputs
(*.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 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.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)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
#s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a)
a
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
(*.f64 rand (+.f64 a #s(literal -1/3 binary64)))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
rand
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(*.f64 (sqrt.f64 a) rand)
(*.f64 rand (sqrt.f64 a))
(sqrt.f64 a)
a
rand
#s(literal 1/3 binary64)
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 a (*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a))) a))
(fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a)
(fma.f64 a (*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a))) a)
a
(/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))
(*.f64 rand #s(literal 1/3 binary64))
rand
#s(literal 1/3 binary64)
(sqrt.f64 a)

localize217.0ms (1.9%)

Memory
7.6MiB live, 101.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0859375
(fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a)
accuracy0.29134750976844204
(/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
accuracy0.30859375
(*.f64 rand #s(literal 1/3 binary64))
accuracy1.5213383492685435
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a))
accuracy0
(sqrt.f64 a)
accuracy0.09375
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
accuracy0.21875
(*.f64 (sqrt.f64 a) rand)
accuracy1.5213383492685435
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
accuracy0.00390625
(+.f64 a #s(literal -1/3 binary64))
accuracy0.015625
(*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
accuracy15.073509817982526
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
accuracy26.36486532406993
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
accuracy1.5419537939661214
#s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a)
accuracy26.36486532406993
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
accuracy0.0078125
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
accuracy0.09375
(*.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))))))
accuracy0.13671875
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
accuracy0.26171875
(/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
Samples
180.0ms249×0valid
2.0ms5×1valid
1.0ms2×2valid
Compiler

Compiled 195 to 40 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-mult: 81.0ms (72.2% of total)
ival-div: 9.0ms (8% of total)
ival-add: 7.0ms (6.2% of total)
const: 7.0ms (6.2% of total)
ival-sqrt: 6.0ms (5.3% of total)
ival-sub: 1.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series81.0ms (0.7%)

Memory
-0.2MiB live, 38.7MiB allocated
Counts
18 → 372
Calls
Call 1
Inputs
#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())
#s(alt (+.f64 a #s(literal -1/3 binary64)) (patch (+.f64 a #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (patch (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a)) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a)) #<representation binary64>) () ())
#s(alt #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a) (patch #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand) (patch (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand) #<representation binary64>) () ())
#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (patch (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a) (patch (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())
#s(alt (sqrt.f64 a) (patch (sqrt.f64 a) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a)) (patch #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a)) #<representation binary64>) () ())
#s(alt (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a) (patch (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (patch (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) #<representation binary64>) () ())
#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (taylor 0 a) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) (taylor 0 a) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 a) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 a) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (taylor inf a) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf a) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor inf a) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor -inf a) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a))))) (taylor -inf a) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf a) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf a) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 rand) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3) (taylor 0 rand) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3) (taylor 0 rand) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3) (taylor 0 rand) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))) (taylor inf rand) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))) (taylor -inf rand) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand))))) (taylor -inf rand) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand))))) (taylor -inf rand) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand))))) (taylor -inf rand) (#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 a) (#s(alt (+.f64 a #s(literal -1/3 binary64)) (patch (+.f64 a #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 a) (#s(alt (+.f64 a #s(literal -1/3 binary64)) (patch (+.f64 a #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 a) (#s(alt (+.f64 a #s(literal -1/3 binary64)) (patch (+.f64 a #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 a) (#s(alt (+.f64 a #s(literal -1/3 binary64)) (patch (+.f64 a #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt a (taylor inf a) (#s(alt (+.f64 a #s(literal -1/3 binary64)) (patch (+.f64 a #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- 1 (* 1/3 (/ 1 a)))) (taylor inf a) (#s(alt (+.f64 a #s(literal -1/3 binary64)) (patch (+.f64 a #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- 1 (* 1/3 (/ 1 a)))) (taylor inf a) (#s(alt (+.f64 a #s(literal -1/3 binary64)) (patch (+.f64 a #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- 1 (* 1/3 (/ 1 a)))) (taylor inf a) (#s(alt (+.f64 a #s(literal -1/3 binary64)) (patch (+.f64 a #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (+.f64 a #s(literal -1/3 binary64)) (patch (+.f64 a #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1))) (taylor -inf a) (#s(alt (+.f64 a #s(literal -1/3 binary64)) (patch (+.f64 a #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1))) (taylor -inf a) (#s(alt (+.f64 a #s(literal -1/3 binary64)) (patch (+.f64 a #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1))) (taylor -inf a) (#s(alt (+.f64 a #s(literal -1/3 binary64)) (patch (+.f64 a #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 rand) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3))))) (taylor 0 rand) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3))))) (taylor 0 rand) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3))))) (taylor 0 rand) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (/ 1 (- (* 9 a) 3)))) (taylor inf rand) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand))) (taylor inf rand) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand))) (taylor inf rand) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf rand) (#s(alt (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (patch (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf rand) (#s(alt (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (patch (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf rand) (#s(alt (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (patch (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf rand) (#s(alt (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (patch (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 a) (#s(alt (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (patch (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 a) (#s(alt (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (patch (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 a) (#s(alt (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (patch (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 a) (#s(alt (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (patch (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf a) (#s(alt (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (patch (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf a) (#s(alt (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (patch (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf a) (#s(alt (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (patch (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf a) (#s(alt (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (patch (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf a) (#s(alt (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (patch (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf a) (#s(alt (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (patch (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf a) (#s(alt (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (patch (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf a) (#s(alt (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (patch (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor 0 rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor 0 rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor 0 rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor 0 rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor inf rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor inf rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor inf rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor inf rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor -inf rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor -inf rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor -inf rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 rand) (taylor -inf rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt -3) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt -3) (* 9/2 (/ a (sqrt -3)))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt a)) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a))))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a)))))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt a) (pow (sqrt -1) 2))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #<representation binary64>) () ())) ())
Calls

93 calls:

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

simplify700.0ms (6.1%)

Memory
-19.6MiB live, 377.1MiB allocated
Algorithm
1×egg-herbie
Rules
10 122×lower-fma.f64
10 122×lower-fma.f32
5 736×lower-*.f64
5 736×lower-*.f32
3 208×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04615548
114614892
251334715
081274308
Stop Event
1×iter limit
1×node limit
Counts
372 → 365
Calls
Call 1
Inputs
(* -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)))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
1
(+ 1 (* 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))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/3 (/ (pow (sqrt -1) 2) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1/3 (/ (pow (sqrt -1) 2) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1/3 (/ (pow (sqrt -1) 2) 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)))
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1/3 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))
(- (* -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) 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)))))
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(sqrt a)
(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))) (* 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) 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)) 1)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 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))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(sqrt -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 (+ 1 (* rand (sqrt -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 (+ 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 rand (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (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 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 (*.f64 rand #s(literal 9/4 binary64)) (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))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 rand (*.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 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(fma.f64 a (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a) (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 0 binary64))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(fma.f64 a (fma.f64 rand (*.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 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a)) 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 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 -1/6 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)))))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) rand) (sqrt.f64 a) #s(literal 0 binary64)) a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64))) a)) (neg.f64 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 #s(literal -1/3 binary64) (fma.f64 (*.f64 rand (+.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)))) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 rand (+.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)))) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 rand (+.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)))) a))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (*.f64 rand (+.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 (*.f64 rand (+.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)))
-1/3
#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))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
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 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 #s(literal -1/2 binary64) a) (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))))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 rand #s(literal -1/2 binary64)) (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))) (* 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 rand (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 a (*.f64 rand #s(literal 45/8 binary64))) (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 rand #s(literal 1/3 binary64)) #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 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) #s(literal 1 binary64))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 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 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))) (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)))) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #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 #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 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 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64))) #s(literal 1 binary64)) (/.f64 (*.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 #s(literal 1/54 binary64) (sqrt.f64 a)))) (*.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 (*.f64 #s(literal -1/2 binary64) (*.f64 rand a)) (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 (*.f64 a #s(literal -1/2 binary64)) (fma.f64 a (/.f64 (*.f64 rand #s(literal 9/4 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* 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 rand (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 a (*.f64 rand #s(literal 45/8 binary64))) (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 rand #s(literal 1/3 binary64)))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 rand (fma.f64 (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 #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)) (* 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 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (*.f64 rand (fma.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 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))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(+ (* -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))))
(*.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 (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))))
(-.f64 (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64)))) (/.f64 (*.f64 rand (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3/2 binary64)) (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)) (*.f64 #s(literal 1/54 binary64) (sqrt.f64 a)))) (*.f64 a (*.f64 a 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))
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
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(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
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(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
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(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
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(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 rand (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.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 -1/2 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 (-.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) #s(literal -1/3 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sqrt.f64 a) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 0 binary64)) a)) a)))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) (+.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 rand #s(literal 1/3 binary64)) (+.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 rand #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 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 rand #s(literal 1/3 binary64)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1 (* a (pow (sqrt -1) 2)))
a
(* -1 (* a (+ (* -1/3 (/ (pow (sqrt -1) 2) a)) (pow (sqrt -1) 2))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1 (* a (+ (* -1/3 (/ (pow (sqrt -1) 2) a)) (pow (sqrt -1) 2))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1 (* a (+ (* -1/3 (/ (pow (sqrt -1) 2) a)) (pow (sqrt -1) 2))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
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#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))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
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(+.f64 #s(literal -1/3 binary64) a)
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(+.f64 #s(literal -1/3 binary64) a)
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(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
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(+.f64 #s(literal -1/3 binary64) a)
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(+.f64 #s(literal -1/3 binary64) a)
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(+.f64 #s(literal -1/3 binary64) a)
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(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
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(* -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))
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(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
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(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
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(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) (+.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 rand #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
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(* 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))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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(* -1/3 rand)
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(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
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(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
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(- (* -1/3 (* rand (sqrt -1/3))) 1/3)
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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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))))
(+.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 (+.f64 #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)))
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(fma.f64 a (fma.f64 rand (*.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 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a)) 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)))
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(* -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)))
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(- 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 rand (+.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)))) 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)
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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))))
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(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
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(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
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(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
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(* 1/3 (* (sqrt a) rand))
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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a
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a
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(* -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 -1/2 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 7 binary64)))) #s(literal -1/144 binary64))))) (neg.f64 a))

rewrite482.0ms (4.2%)

Memory
-12.0MiB live, 368.7MiB allocated
Rules
4 338×lower-fma.f32
4 332×lower-fma.f64
3 836×lower-/.f32
3 830×lower-/.f64
3 698×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044191
061171
1243157
22222157
08687157
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 875
Calls
Call 1
Inputs
(*.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))
(+.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))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
#s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a)
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(*.f64 (sqrt.f64 a) rand)
(sqrt.f64 a)
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a))
(fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a)
(/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(*.f64 rand #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 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(+.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(+.f64 (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64))
(+.f64 (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a))
(+.f64 (*.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal -1/3 binary64)) a)
(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(-.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal 1/3 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (/.f64 (/.f64 (*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(-.f64 (/.f64 (*.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)) (-.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64))))
(fma.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (neg.f64 (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 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #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 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (+.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 rand (/.f64 #s(literal 1 binary64) (+.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)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #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)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(fma.f64 (neg.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 rand)) (/.f64 (*.f64 rand (+.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)) (/.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 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)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64)) (/.f64 (*.f64 rand (+.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)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 rand #s(literal 1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (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(literal 1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (pow.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/2 binary64)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (sqrt.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 #s(literal 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 #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (neg.f64 (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)) rand) (/.f64 rand #s(literal 1 binary64)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) rand) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (pow.f64 rand #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) #s(literal 1 binary64)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (pow.f64 rand #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #s(literal 1 binary64)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (pow.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal 1 binary64)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal 1 binary64)) (pow.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (pow.f64 (neg.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 rand)) #s(literal 1 binary64)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (pow.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 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 binary64)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (pow.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (pow.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (pow.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (sqrt.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (fabs.f64 rand) (fabs.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand))) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (fabs.f64 rand) (fabs.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (fabs.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) rand)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) rand)) (fabs.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (fabs.f64 (neg.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))))) (fabs.f64 (/.f64 #s(literal 1 binary64) (neg.f64 rand))) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (fabs.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (fabs.f64 (/.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 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (fabs.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (fabs.f64 (fma.f64 a a #s(literal -1/9 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64)))) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -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 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1 binary64)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -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)) #s(literal 3 binary64)) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #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))) (+.f64 a #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 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (neg.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 rand)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.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 #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)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.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 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) rand) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.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 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.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(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) rand) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (neg.f64 rand) #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 (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)) #s(literal -1 binary64)) (/.f64 rand (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 rand) rand) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -3 binary64)) (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #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)))) (+.f64 a #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 a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.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))) (+.f64 a #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)))) (+.f64 a #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 a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (+.f64 a #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))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 rand (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))) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #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 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal 3 binary64)) (/.f64 rand (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 (*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 (+.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 rand (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 27 binary64))))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a) (-.f64 (*.f64 (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64))) (*.f64 (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a)) (*.f64 (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))) (*.f64 (*.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (*.f64 a (*.f64 a a))) (fma.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal -1/3 binary64)) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal -1/3 binary64)) (-.f64 (*.f64 a a) (*.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal -1/3 binary64)) a))))
(/.f64 (-.f64 (*.f64 a (*.f64 a a)) (pow.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))))
(/.f64 (-.f64 (*.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (*.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a))) #s(literal 1/27 binary64)) (fma.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (+.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (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 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(*.f64 (fma.f64 (+.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 rand (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 (*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
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#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 #s(literal 1/3 binary64) (neg.f64 rand) (*.f64 rand a))
(fma.f64 #s(literal 1/3 binary64) (neg.f64 rand) (*.f64 a rand))
(fma.f64 #s(literal -1 binary64) (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand a))
(fma.f64 #s(literal -1 binary64) (*.f64 rand #s(literal 1/3 binary64)) (*.f64 a rand))
(fma.f64 (neg.f64 rand) #s(literal 1/3 binary64) (*.f64 rand a))
(fma.f64 (neg.f64 rand) #s(literal 1/3 binary64) (*.f64 a rand))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) rand) (-.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)) rand) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) rand) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (*.f64 rand (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 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(/.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 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 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) rand)) (neg.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) rand)) (neg.f64 (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 rand (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 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (neg.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64)))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))))
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(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 3 binary64)) (pow.f64 (*.f64 a rand) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (*.f64 #s(literal -1/3 binary64) rand) (-.f64 (*.f64 (*.f64 a rand) (*.f64 a rand)) (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (*.f64 a rand)))))
(/.f64 (+.f64 (pow.f64 (*.f64 rand a) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 3 binary64))) (fma.f64 (*.f64 rand a) (*.f64 rand a) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (*.f64 #s(literal -1/3 binary64) rand)) (*.f64 (*.f64 rand a) (*.f64 #s(literal -1/3 binary64) rand)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a rand) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 3 binary64))) (fma.f64 (*.f64 a rand) (*.f64 a rand) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (*.f64 #s(literal -1/3 binary64) rand)) (*.f64 (*.f64 a rand) (*.f64 #s(literal -1/3 binary64) rand)))))
(*.f64 rand (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)) a))
(+.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(+.f64 (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) a)
(-.f64 (/.f64 (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))) (/.f64 (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(fma.f64 a (*.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a)
(fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) a)
(fma.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a) a)
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)
(fma.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) a)
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
(fma.f64 (*.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a a)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (/.f64 a (/.f64 #s(literal 1 binary64) (*.f64 rand #s(literal 1/3 binary64)))) a)
(fma.f64 (*.f64 a (*.f64 rand #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) a)
(fma.f64 (*.f64 a rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand a)
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
(fma.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 a (pow.f64 a #s(literal 1/4 binary64))) a)
(fma.f64 (/.f64 a (pow.f64 a #s(literal 1/4 binary64))) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal 1/4 binary64))) a)
(fma.f64 (/.f64 (*.f64 a #s(literal 1/3 binary64)) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 a #s(literal 1/4 binary64))) a)
(fma.f64 (/.f64 (*.f64 a rand) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 1/4 binary64))) a)
(fma.f64 (/.f64 a (sqrt.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 rand #s(literal 1/3 binary64)))) a)
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 a)) a)
(fma.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 a (sqrt.f64 a)) a)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))))) (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (neg.f64 a) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))))) (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (neg.f64 a) a)))))
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))))) (fma.f64 a (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))))) (fma.f64 a a (-.f64 (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 a)) a)))))
(/.f64 (fma.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (neg.f64 a) a)) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a)))
(/.f64 (neg.f64 (fma.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (neg.f64 a) a))) (neg.f64 (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand)))))) (neg.f64 (fma.f64 a (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand)))))) (neg.f64 (fma.f64 a a (-.f64 (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 a)) a))))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))))) (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (neg.f64 a) a)))) (neg.f64 (neg.f64 (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a)))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))))) (neg.f64 (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))) (/.f64 (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))) (fma.f64 (/.f64 (*.f64 a a) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))) (*.f64 (/.f64 (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a)))))))
(pow.f64 (/.f64 (fma.f64 a (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))))) (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (neg.f64 a) a))) #s(literal -1 binary64))
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))))))
(*.f64 (fma.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (neg.f64 a) a)) (/.f64 #s(literal 1 binary64) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))))
(*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a)
(*.f64 rand (sqrt.f64 a))
(*.f64 (sqrt.f64 a) rand)
(exp.f64 (*.f64 (log.f64 a) #s(literal 1/2 binary64)))
(sqrt.f64 a)
(pow.f64 a #s(literal 1/2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 a #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) a)
(*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/4 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)) a))
(+.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(+.f64 (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) a)
(-.f64 (/.f64 (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))) (/.f64 (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(fma.f64 a (*.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) a)
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(fma.f64 (*.f64 a rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand a)
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
(fma.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 a (pow.f64 a #s(literal 1/4 binary64))) a)
(fma.f64 (/.f64 a (pow.f64 a #s(literal 1/4 binary64))) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal 1/4 binary64))) a)
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(fma.f64 (/.f64 (*.f64 a rand) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 1/4 binary64))) a)
(fma.f64 (/.f64 a (sqrt.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 rand #s(literal 1/3 binary64)))) a)
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(fma.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 a (sqrt.f64 a)) a)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))))) (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (neg.f64 a) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))))) (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (neg.f64 a) a)))))
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))))) (fma.f64 a (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))))) (fma.f64 a a (-.f64 (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 a)) a)))))
(/.f64 (fma.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (neg.f64 a) a)) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a)))
(/.f64 (neg.f64 (fma.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (neg.f64 a) a))) (neg.f64 (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand)))))) (neg.f64 (fma.f64 a (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand)))))) (neg.f64 (fma.f64 a a (-.f64 (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 a)) a))))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))))) (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (neg.f64 a) a)))) (neg.f64 (neg.f64 (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a)))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))))) (neg.f64 (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))) (/.f64 (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))) (fma.f64 (/.f64 (*.f64 a a) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))) (*.f64 (/.f64 (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a)))))))
(pow.f64 (/.f64 (fma.f64 a (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))))) (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (neg.f64 a) a))) #s(literal -1 binary64))
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 #s(literal 1/27 binary64) (*.f64 rand (*.f64 rand rand))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))))))
(*.f64 (fma.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (neg.f64 a) a)) (/.f64 #s(literal 1 binary64) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (neg.f64 a))))
(*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 a))) (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 a))))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 a))))
(neg.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))))))
(/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -1/3 binary64) rand) (neg.f64 (sqrt.f64 a)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) rand)) (neg.f64 (neg.f64 (sqrt.f64 a))))
(/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) (sqrt.f64 a))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) rand))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 a)))))
(/.f64 (neg.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 a)))
(pow.f64 (/.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 rand) (sqrt.f64 a)))
(*.f64 #s(literal 1 binary64) (*.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(*.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
(*.f64 (*.f64 #s(literal -1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 rand #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 rand #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
(*.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(*.f64 (/.f64 rand (pow.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 a #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 1/4 binary64))))
(*.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 a)))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(exp.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal -1 binary64)))
(sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (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 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal -1 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 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal 1 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 (sqrt.f64 (*.f64 #s(literal 9 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 9 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (sqrt.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 9 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 9 binary64))) (sqrt.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 9 binary64))) (sqrt.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 9 binary64))) (sqrt.f64 (+.f64 a #s(literal 1/3 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 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (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 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 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) (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 (sqrt.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (pow.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 9 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 9 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 (pow.f64 (*.f64 #s(literal 9 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (sqrt.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))

eval221.0ms (1.9%)

Memory
47.2MiB live, 345.3MiB allocated
Compiler

Compiled 29 540 to 2 667 computations (91% saved)

prune228.0ms (2%)

Memory
-31.2MiB live, 453.7MiB allocated
Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New1 44531 448
Fresh189
Picked235
Done022
Total1 448161 464
Accuracy
100.0%
Counts
1 464 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.5%
(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)))
✓99.8%
(*.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))))))
97.4%
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 a #s(literal 1/3 binary64)) a))
97.4%
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a))
97.4%
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a))) a a))
✓97.4%
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a))
41.1%
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* (* (sqrt a) rand) 1/3) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
41.0%
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* a (* (sqrt (/ 1 a)) (* rand 1/3))) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
42.0%
#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 rand #s(literal 1/3 binary64))))
59.9%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
99.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a))
✓58.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
36.7%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
58.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)))
✓1.6%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
✓57.4%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
Compiler

Compiled 525 to 190 computations (63.8% saved)

regimes42.0ms (0.4%)

Memory
32.7MiB live, 108.7MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 a) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* a (* (sqrt (/ 1 a)) (* rand 1/3))) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* (* (sqrt a) rand) 1/3) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))))
#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 rand #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (*.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 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a))
#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))) (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))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a))) a a))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 a #s(literal 1/3 binary64)) 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))) #s(approx (/ (+ a -1/3) rand) (/.f64 a rand)))))
(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))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) 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))))
(*.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)))
(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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (fma.f64 a a #s(literal -1/9 binary64)))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
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)))
Calls

4 calls:

11.0ms
rand
10.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
10.0ms
a
9.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
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)

regimes45.0ms (0.4%)

Memory
-15.4MiB live, 97.1MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 a) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* a (* (sqrt (/ 1 a)) (* rand 1/3))) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* (* (sqrt a) rand) 1/3) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))))
#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 rand #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (*.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 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a))
#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))) (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))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a))) a a))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 a #s(literal 1/3 binary64)) 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))) #s(approx (/ (+ a -1/3) rand) (/.f64 a rand)))))
(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))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) 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))))
(*.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)))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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))))
Calls

4 calls:

13.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
12.0ms
a
10.0ms
rand
8.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Results
AccuracySegmentsBranch
99.8%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)

regimes25.0ms (0.2%)

Memory
23.5MiB live, 62.6MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 a) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* a (* (sqrt (/ 1 a)) (* rand 1/3))) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* (* (sqrt a) rand) 1/3) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))))
#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 rand #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (*.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 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a))
#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))))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a))
Calls

4 calls:

6.0ms
(*.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)))
6.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
6.0ms
rand
6.0ms
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)

regimes28.0ms (0.2%)

Memory
-33.8MiB live, 57.1MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 a) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* a (* (sqrt (/ 1 a)) (* rand 1/3))) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* (* (sqrt a) rand) 1/3) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))))
#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 rand #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
Calls

4 calls:

11.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
6.0ms
a
5.0ms
rand
5.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Results
AccuracySegmentsBranch
98.9%1a
98.9%1rand
98.9%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
98.9%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes21.0ms (0.2%)

Memory
14.8MiB live, 54.0MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 a) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* a (* (sqrt (/ 1 a)) (* rand 1/3))) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* (* (sqrt a) rand) 1/3) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))))
#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 rand #s(literal 1/3 binary64))))
Outputs
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
Calls

4 calls:

6.0ms
rand
5.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
5.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
5.0ms
a
Results
AccuracySegmentsBranch
97.5%1a
97.5%1rand
97.5%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)))
97.5%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes17.0ms (0.2%)

Memory
13.5MiB live, 52.8MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 a) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* a (* (sqrt (/ 1 a)) (* rand 1/3))) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* (* (sqrt a) rand) 1/3) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a))
Outputs
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a))
Calls

4 calls:

5.0ms
a
4.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
4.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
4.0ms
rand
Results
AccuracySegmentsBranch
97.4%1rand
97.4%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
97.4%1a
97.4%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes17.0ms (0.1%)

Memory
-1.2MiB live, 39.6MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 a) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* a (* (sqrt (/ 1 a)) (* rand 1/3))) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* (* (sqrt a) rand) 1/3) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
Outputs
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* (* (sqrt a) rand) 1/3) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* (* (sqrt a) rand) 1/3) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
Calls

4 calls:

5.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
4.0ms
a
4.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
3.0ms
rand
Results
AccuracySegmentsBranch
66.8%4a
92.6%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)))
66.8%4(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes5.0ms (0%)

Memory
-28.4MiB live, 10.9MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 a) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* a (* (sqrt (/ 1 a)) (* rand 1/3))) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
Outputs
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* a (* (sqrt (/ 1 a)) (* rand 1/3))) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* a (* (sqrt (/ 1 a)) (* rand 1/3))) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
Calls

1 calls:

4.0ms
rand
Results
AccuracySegmentsBranch
92.6%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
21.4MiB live, 21.4MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 a) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
Calls

2 calls:

3.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
3.0ms
rand
Results
AccuracySegmentsBranch
65.1%2(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
65.2%2rand
Compiler

Compiled 25 to 15 computations (40% saved)

regimes2.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
Outputs
#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 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
Calls

1 calls:

2.0ms
rand
Results
AccuracySegmentsBranch
65.2%2rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes44.0ms (0.4%)

Memory
-19.1MiB live, 20.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) 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))) (+.f64 a #s(literal -1/3 binary64)))
Calls

4 calls:

38.0ms
rand
2.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
2.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
2.0ms
a
Results
AccuracySegmentsBranch
58.8%1a
58.8%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
58.8%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)))
58.8%1rand
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes7.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Accuracy

Total -36.1b remaining (-132.5%)

Threshold costs -36.1b (-132.5%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
Calls

4 calls:

2.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
2.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms
rand
1.0ms
a
Results
AccuracySegmentsBranch
57.4%1rand
57.4%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
57.4%1a
57.4%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

bsearch42.0ms (0.4%)

Memory
-17.2MiB live, 61.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
5.666211402410014e+88
3.919227941432378e+90
25.0ms
-2.9670013220090737e+78
-2.511159843571589e+73
Samples
29.0ms256×0valid
Compiler

Compiled 377 to 226 computations (40.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sub: 11.0ms (46.5% of total)
ival-div: 5.0ms (21.1% of total)
ival-mult: 4.0ms (16.9% of total)
ival-sqrt: 2.0ms (8.5% of total)
ival-add: 1.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.666211402410014e+88
3.919227941432378e+90
1.0ms
-2.9670013220090737e+78
-2.511159843571589e+73
Compiler

Compiled 377 to 226 computations (40.1% saved)

bsearch11.0ms (0.1%)

Memory
-13.2MiB live, 24.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
1.2176398749301009e+154
4.683604912068135e+154
Samples
6.0ms80×0valid
Compiler

Compiled 130 to 73 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (26% of total)
ival-mult: 1.0ms (26% of total)
ival-sqrt: 1.0ms (26% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.2176398749301009e+154
4.683604912068135e+154
Compiler

Compiled 110 to 68 computations (38.2% saved)

simplify9.0ms (0.1%)

Memory
24.3MiB live, 24.3MiB allocated
Algorithm
1×egg-herbie
Rules
14×*-commutative_binary64
4×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091526
1103526
Stop Event
1×saturated
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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a))
(if (<=.f64 rand #s(literal -749999999999999995121649765454345303317917797060932244265828370547547832320 binary64)) #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* (* (sqrt a) rand) 1/3) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))) (if (<=.f64 rand #s(literal 489999999999999996015818566617136704680755590614007847885527186685855545340423480136433664 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a))) #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* (* (sqrt a) rand) 1/3) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal -749999999999999995121649765454345303317917797060932244265828370547547832320 binary64)) #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* a (* (sqrt (/ 1 a)) (* rand 1/3))) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))) (if (<=.f64 rand #s(literal 489999999999999996015818566617136704680755590614007847885527186685855545340423480136433664 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a))) #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* a (* (sqrt (/ 1 a)) (* rand 1/3))) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal 41000000000000000175140236588724667519703994603185064932251636044952580292480865218833367899177121867695353514508649894391301889063431790010311667175391232 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand)))
(if (<=.f64 rand #s(literal 41000000000000000175140236588724667519703994603185064932251636044952580292480865218833367899177121867695353514508649894391301889063431790010311667175391232 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 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) 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))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))
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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (*.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))) (fma.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) a))
#s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a))
(if (<=.f64 rand #s(literal -749999999999999995121649765454345303317917797060932244265828370547547832320 binary64)) #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* (* (sqrt a) rand) 1/3) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))) (if (<=.f64 rand #s(literal 489999999999999996015818566617136704680755590614007847885527186685855545340423480136433664 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a))) #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* (* (sqrt a) rand) 1/3) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal -749999999999999995121649765454345303317917797060932244265828370547547832320 binary64)) #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* a (* (sqrt (/ 1 a)) (* rand 1/3))) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))) (if (<=.f64 rand #s(literal 489999999999999996015818566617136704680755590614007847885527186685855545340423480136433664 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a))) #s(approx (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3)) #s(approx (+ (* a (* (sqrt (/ 1 a)) (* rand 1/3))) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal 41000000000000000175140236588724667519703994603185064932251636044952580292480865218833367899177121867695353514508649894391301889063431790010311667175391232 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand)))
(if (<=.f64 rand #s(literal 41000000000000000175140236588724667519703994603185064932251636044952580292480865218833367899177121867695353514508649894391301889063431790010311667175391232 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (* (+ a -1/3) rand) rand) (fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 a rand)) rand)))
(if (<=.f64 rand #s(literal 41000000000000000175140236588724667519703994603185064932251636044952580292480865218833367899177121867695353514508649894391301889063431790010311667175391232 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 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand)))
(if (<=.f64 rand #s(literal 41000000000000000175140236588724667519703994603185064932251636044952580292480865218833367899177121867695353514508649894391301889063431790010311667175391232 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 #s(approx (* (+ a -1/3) rand) (*.f64 a rand)) 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))) #s(approx (* (sqrt (+ a -1/3)) (sqrt (+ a -1/3))) a))

soundness1.3s (11.6%)

Memory
-6.0MiB live, 1 245.1MiB allocated
Rules
13 334×lower-fma.f64
13 334×lower-fma.f32
13 262×lower-fma.f64
13 262×lower-fma.f32
12 122×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04615548
114614892
251334715
081274308
03331781
110131561
233781491
379251491
083211388
01346
02246
17840
254640
3649340
0817336
07236038
122785225
276255225
080024856
06116595
119905717
271315717
080615303
048256
065244
1255227
22399225
09133215
033182
052177
1231166
22183166
08635165
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 551 to 291 computations (47.2% saved)

preprocess92.0ms (0.8%)

Memory
12.8MiB live, 89.4MiB allocated
Compiler

Compiled 388 to 108 computations (72.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...