Octave 3.8, oct_fill_randg

Time bar (total: 10.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze18.0ms (0.2%)

Memory
-11.0MiB live, 26.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%50%0.1%0%50%0%2
0%0%50%0.1%0%50%0%3
50%25%25%0.1%0%50%0%4
50%25%25%0.1%0%50%0%5
66.7%25%12.5%0.1%0%62.4%0%6
66.7%25%12.5%0.1%0%62.4%0%7
80%25%6.2%0.1%0%68.7%0%8
80%25%6.2%0.1%0%68.7%0%9
88.9%25%3.1%0.1%0%71.8%0%10
88.9%25%3.1%0.1%0%71.8%0%11
94.1%25%1.6%0.1%0%73.4%0%12
Compiler

Compiled 22 to 15 computations (31.8% saved)

sample1.8s (18.1%)

Memory
-100.5MiB live, 1 481.5MiB allocated
Samples
1.4s8 256×0valid
57.0ms454×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 361.0ms (33% of total)
ival-add: 307.0ms (28% of total)
ival-div: 174.0ms (15.9% of total)
ival-sub: 153.0ms (14% of total)
ival-sqrt: 76.0ms (6.9% of total)
exact: 12.0ms (1.1% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain292.0ms (2.9%)

Memory
-15.6MiB live, 323.4MiB 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
49.0ms480×0valid
5.0ms10×5exit
3.0ms10×2valid
2.0ms12×1valid
Compiler

Compiled 276 to 56 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 18.0ms (45.4% of total)
ival-div: 9.0ms (22.7% of total)
ival-sqrt: 4.0ms (10.1% of total)
ival-sub: 3.0ms (7.6% of total)
ival-add: 3.0ms (7.6% of total)
adjust: 2.0ms (5% of total)
ival-true: 1.0ms (2.5% of total)
exact: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)

preprocess393.0ms (3.9%)

Memory
1.6MiB live, 154.4MiB allocated
Algorithm
1×egg-herbie
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 (/.f64 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)))
Compiler

Compiled 20 to 13 computations (35% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

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

Compiled 20 to 13 computations (35% saved)

simplify103.0ms (1%)

Memory
-7.5MiB live, 64.7MiB 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))
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 (/.f64 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)))
(-.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 (/.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) (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 #s(literal 9 binary64) a #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 #s(literal 9 binary64) a #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 #s(literal 9 binary64) a #s(literal -3 binary64)))
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
(fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))
#s(literal 9 binary64)
rand

localize49.0ms (0.5%)

Memory
4.4MiB live, 88.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1015625
(*.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)))
accuracy0.125
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
accuracy0.24609375
(*.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)
accuracy0.28515625
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
Samples
23.0ms240×0valid
2.0ms5×5exit
1.0ms5×2valid
1.0ms6×1valid
Compiler

Compiled 170 to 28 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 5.0ms (32.4% of total)
ival-div: 4.0ms (26% of total)
ival-sqrt: 2.0ms (13% of total)
adjust: 1.0ms (6.5% of total)
ival-sub: 1.0ms (6.5% of total)
ival-add: 1.0ms (6.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
0.4MiB live, 38.8MiB 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 -3 (taylor 0 a) (#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 (- (* 9 a) 3) (taylor 0 a) (#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 (- (* 9 a) 3) (taylor 0 a) (#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 (- (* 9 a) 3) (taylor 0 a) (#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 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (taylor 0 a) (#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 (+ (* -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 (*.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 (+ (* -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 (*.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 (+ (* -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 (*.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 (* 1/3 (sqrt -3)) (taylor 0 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>) () ())) ())
#s(alt (+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3))) (taylor 0 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>) () ())) ())
#s(alt (+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3)))))) (taylor 0 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>) () ())) ())
#s(alt (+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3)))))) (taylor 0 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>) () ())) ())
#s(alt (* 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 (+ (* 3/2 (/ 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>) () ())) ())
#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 (* 9 a) (taylor inf a) (#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 (* a (- 9 (* 3 (/ 1 a)))) (taylor inf a) (#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 (* a (- 9 (* 3 (/ 1 a)))) (taylor inf a) (#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 (* a (- 9 (* 3 (/ 1 a)))) (taylor inf a) (#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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#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 (* 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 (/.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 (* 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 (/.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 (* 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 (/.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 (* 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>) () ())) ())
#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>) () ())) ())
#s(alt (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 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>) () ())) ())
#s(alt (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a)))))) (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>) () ())) ())
#s(alt (* 3 (sqrt 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>) () ())) ())
#s(alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 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>) () ())) ())
#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 (*.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 (* 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>) () ())) ())
#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 (* 9 a) (taylor -inf a) (#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 (* -1 (* a (- (* 3 (/ 1 a)) 9))) (taylor -inf a) (#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 (* -1 (* a (- (* 3 (/ 1 a)) 9))) (taylor -inf a) (#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 (* -1 (* a (- (* 3 (/ 1 a)) 9))) (taylor -inf a) (#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 (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (taylor -inf a) (#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 (* -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 (*.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 (* -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 (*.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 (* -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))))) (taylor -inf a) (#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 (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))) (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>) () ())) ())
#s(alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))) (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>) () ())) ())
#s(alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))) (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>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))) (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>) () ())) ())
#s(alt (* -1 (* (sqrt 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 (+ (* 1/6 (* (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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (- a 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))) (taylor inf 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>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))) (taylor inf 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>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))) (taylor inf 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>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))) (taylor inf 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>) () ())) ())
#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>) () ())) ())
#s(alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) (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>) () ())) ())
#s(alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) (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>) () ())) ())
#s(alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) (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>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))) (taylor -inf 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>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))) (taylor -inf 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>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))) (taylor -inf 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>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))) (taylor -inf 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
a
@-inf
((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* 9 (- a (/ 1 3))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))))
3.0ms
a
@inf
((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* 9 (- a (/ 1 3))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))))
3.0ms
a
@0
((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* 9 (- a (/ 1 3))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))))
2.0ms
rand
@0
((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* 9 (- a (/ 1 3))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))))
1.0ms
rand
@inf
((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* 9 (- a (/ 1 3))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))))

simplify311.0ms (3.1%)

Memory
-0.4MiB live, 201.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03331781
110131561
233751491
379501491
080181388
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))))))))
-3
(- (* 9 a) 3)
(- (* 9 a) 3)
(- (* 9 a) 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)))))))))))))
(* 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))))))
(* 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))))))
(* 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)))))
(* 9 a)
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (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))))))))
(* 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))))))
(* 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)))))))
(* (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)))))
(* 9 a)
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* 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)))))
(* (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)))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
(* 1/3 (* 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)))))
(- 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 (/ 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 (- 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 (/ 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 (- 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))))))
Outputs
(* 1/3 (* rand (sqrt -3)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) rand (*.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) a))
(+ (* 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 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 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 (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (fma.f64 (*.f64 #s(literal 405/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64)))
-3
#s(literal -3 binary64)
(- (* 9 a) 3)
(fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))
(- (* 9 a) 3)
(fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))
(- (* 9 a) 3)
(fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -3/2 binary64))) (fma.f64 (*.f64 #s(literal 9/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -3/2 binary64))) (fma.f64 (fma.f64 (*.f64 rand (+.f64 (/.f64 #s(literal 45/16 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 #s(literal 9/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
(* 1/3 (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))
(fma.f64 (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 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 (fma.f64 #s(literal -27/8 binary64) (/.f64 a (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 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 (fma.f64 (fma.f64 #s(literal -135/16 binary64) (/.f64 a (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))
(* 3 (sqrt -1/3))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(fma.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(fma.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 3/16 binary64) (/.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* 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 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))))
(* 9 a)
(*.f64 #s(literal 9 binary64) a)
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)) a)
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)) a)
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) (fma.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) a) #s(literal 1 binary64))) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) (fma.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) a) #s(literal 1 binary64))) a)
(* 1/3 (sqrt (/ 1 a)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))))
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) a)
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(*.f64 (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 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 (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 -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))) a)
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 rand (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 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (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 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) (sqrt.f64 #s(literal -9 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/18 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))))) (neg.f64 (pow.f64 a #s(literal 3 binary64)))))
(* 9 a)
(*.f64 #s(literal 9 binary64) a)
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)) a)
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)) a)
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)) a)
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.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)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 a (sqrt.f64 #s(literal -9 binary64))) a) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 a (sqrt.f64 #s(literal -9 binary64))) a))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) #s(literal -1/2 binary64) #s(literal -1/3 binary64)) a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 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 (+.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) #s(literal 0 binary64)) (neg.f64 a))) a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64))) a)
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (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 -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))))) (neg.f64 (pow.f64 a #s(literal 3 binary64)))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(*.f64 (neg.f64 a) (*.f64 (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(*.f64 (neg.f64 a) (*.f64 (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 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 (neg.f64 a) (*.f64 (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (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)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (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)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (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)) rand)

rewrite162.0ms (1.6%)

Memory
1.5MiB live, 161.3MiB allocated
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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval106.0ms (1.1%)

Memory
4.4MiB live, 122.5MiB allocated
Compiler

Compiled 13 784 to 1 968 computations (85.7% saved)

prune24.0ms (0.2%)

Memory
1.2MiB live, 39.0MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New50310513
Fresh000
Picked101
Done000
Total50410514
Accuracy
100.0%
Counts
514 → 10
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 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (-.f64 a #s(literal 1/3 binary64)))
99.8%
(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)))
90.5%
(fma.f64 (/.f64 (*.f64 rand (-.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #s(literal -1 binary64) (-.f64 a #s(literal 1/3 binary64)))
99.8%
(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)))
▶99.8%
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
▶99.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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))))
▶60.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
97.7%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
▶76.7%
#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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
40.6%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
Compiler

Compiled 252 to 174 computations (31% saved)

simplify148.0ms (1.5%)

Memory
-2.1MiB live, 149.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
cost-diff0
(/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
cost-diff0
(*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
cost-diff192
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
cost-diff0
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
cost-diff0
(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))
cost-diff0
#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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
cost-diff832
(*.f64 (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)) rand)
cost-diff0
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
cost-diff0
(*.f64 rand #s(literal 1/3 binary64))
cost-diff0
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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))))
cost-diff128
(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)))
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 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #s(literal -3 binary64))))
cost-diff64
(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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032227
052223
1102212
2222212
3648212
41584212
52903212
65448212
08208207
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 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (-.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(-.f64 a #s(literal 1/3 binary64))
a
#s(literal 1/3 binary64)
(sqrt.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 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 (*.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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 rand #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(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (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)) rand))
(*.f64 (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)) 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))
(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)
rand
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
#s(literal 1/3 binary64)
(*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
(/.f64 rand (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
Outputs
(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)))
(*.f64 (-.f64 (/.f64 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)))
(/.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)) (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 a #s(literal 9 binary64) #s(literal -3 binary64)))
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
(fma.f64 a #s(literal 9 binary64) #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 (*.f64 rand #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)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand #s(literal -1 binary64)) #s(literal 1/3 binary64) a))
(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 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand #s(literal -1 binary64)) #s(literal 1/3 binary64) a)
(*.f64 rand #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(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (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)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand #s(literal -1 binary64)) #s(literal 1/3 binary64) a))
(*.f64 (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)) rand)
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand #s(literal -1 binary64)) #s(literal 1/3 binary64) a)
(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))
(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)
rand
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (-.f64 #s(literal 1/3 binary64) a) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand #s(literal -1 binary64)))
#s(literal 1/3 binary64)
(*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
(/.f64 (*.f64 rand (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 a #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)))
(-.f64 a #s(literal 1/3 binary64))
a

localize140.0ms (1.4%)

Memory
-6.9MiB live, 239.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy0.08984375
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
accuracy0.171875
(/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
accuracy7.22609748443016
(*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
accuracy0.015625
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy0.02734375
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
accuracy0.14453125
(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))
accuracy14.87707610558375
(*.f64 (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)) rand)
accuracy0.00390625
(-.f64 a #s(literal 1/3 binary64))
accuracy0.015625
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy0.07421875
(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)))
accuracy0.34375
(*.f64 rand #s(literal 1/3 binary64))
accuracy0.00390625
(-.f64 a #s(literal 1/3 binary64))
accuracy25.28931947908894
#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))
accuracy0.07421875
(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)))
accuracy0.1328125
(sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
accuracy0.25390625
(/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
Samples
74.0ms245×0valid
3.0ms5×2valid
3.0ms6×1valid
Compiler

Compiled 399 to 58 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 18.0ms (38.6% of total)
ival-div: 8.0ms (17.2% of total)
ival-add: 7.0ms (15% of total)
ival-sqrt: 5.0ms (10.7% of total)
const: 4.0ms (8.6% of total)
ival-sub: 3.0ms (6.4% of total)
adjust: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series42.0ms (0.4%)

Memory
19.1MiB live, 96.2MiB allocated
Counts
16 → 324
Calls
Call 1
Inputs
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (patch (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (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))) #<representation binary64>) () ())
#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<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 (-.f64 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<representation binary64>) () ())
#s(alt #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))) #s(literal 1/3 binary64) (/.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 (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)) rand)) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.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 (-.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 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (sqrt -1/3)) (taylor 0 a) (#s(alt (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (patch (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3)))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (patch (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3))))))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (patch (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (+ (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/6 (/ (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (sqrt -1/3)))))) (* 1/2 (/ 1 (sqrt -1/3))))))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (patch (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 (sqrt -3) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt -3) (* 9/2 (/ a (sqrt -3)))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -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))) (-.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 (+ (* -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))) (-.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 (+ (* -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))) (-.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 (+ (* -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))) (-.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 (- (* 1/3 (* rand (sqrt -1/3))) 1/3) (taylor 0 a) (#s(alt (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))) (patch (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))) #<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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (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))) #<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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (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))) #<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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (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))) #<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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt -1/3) (taylor 0 a) (#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 (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3)))) (taylor 0 a) (#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 (+ (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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #<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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))) (taylor 0 a) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<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 (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)) rand) (patch (*.f64 (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)) rand) #<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 (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)) rand) (patch (*.f64 (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)) rand) #<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 (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)) rand) (patch (*.f64 (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)) rand) #<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))) (*.f64 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<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))) (*.f64 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<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))) (*.f64 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<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))) (*.f64 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))) (taylor 0 a) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand))) (taylor 0 a) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) (taylor 0 a) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) (taylor 0 a) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3) (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<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 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<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 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<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 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt -1/3)) (taylor 0 a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))) (taylor 0 a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3))) (taylor 0 a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3))) (taylor 0 a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.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 (/ -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 (+ 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 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt a)) (taylor inf a) (#s(alt (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (patch (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))) (taylor inf a) (#s(alt (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (patch (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))) (taylor inf a) (#s(alt (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (patch (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))))) (taylor inf a) (#s(alt (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (patch (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -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 (* 3 (sqrt a)) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -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))) (-.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 (* 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))) (-.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 (* 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))) (-.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 (* 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))) (-.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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a)))) (taylor inf a) (#s(alt (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))) (patch (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))) #<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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (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))) #<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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (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))) #<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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt a) (taylor inf a) (#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 (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3)))))) (taylor inf a) (#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 (* 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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #<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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (taylor inf a) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<representation binary64>) () ())) ())
#s(alt (* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a)))) (taylor inf a) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a)))) (taylor inf a) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a)))) (taylor inf a) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<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))) (*.f64 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<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))) (*.f64 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<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))) (*.f64 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<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))) (*.f64 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (taylor inf a) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand))))) (taylor inf a) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand)))) (taylor inf a) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand)))) (taylor inf a) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<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 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<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 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor inf a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))) (taylor inf a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand))))) (taylor inf a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.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 (/ 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 (* -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 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#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 (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))) (patch (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))) #<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 (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))) (patch (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))) #<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 (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt a)) (taylor -inf a) (#s(alt (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (patch (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/9 (sqrt (/ 1 (pow a 3))))))) (taylor -inf a) (#s(alt (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (patch (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (+ (* -1/9 (sqrt (/ 1 a))) (* -1/18 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a)))))) (taylor -inf a) (#s(alt (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (patch (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 a))) (* 1/18 (sqrt a)))) a)) (* -1/9 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a)))))) (taylor -inf a) (#s(alt (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (patch (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -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 (* -3 (* (sqrt a) (pow (sqrt -1) 2))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 a #s(literal 9 binary64) #s(literal -3 binary64))) (patch (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -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))) (-.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 (* -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))) (-.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 (* -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 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 (* -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))))) (taylor -inf a) (#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 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1))) (taylor -inf a) (#s(alt (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))) (patch (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))) #<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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (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))) #<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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (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))) #<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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (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))) #<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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 (/ (+ (* -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))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a))))) (taylor -inf a) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt a) (pow (sqrt -1) 2))) (taylor -inf a) (#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 (* -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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #<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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #<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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))) (taylor -inf a) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a))))) (taylor -inf a) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<representation binary64>) () ())) ())
#s(alt (* -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)))))) (taylor -inf a) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<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)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))) (taylor -inf a) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<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))) (*.f64 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<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))) (*.f64 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<representation binary64>) () ())) ())
#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 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a))))) (taylor -inf a) (#s(alt #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))) #s(literal 1/3 binary64) (/.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 (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)) rand)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))) (taylor -inf a) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand)))) (taylor -inf a) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand)))) (taylor -inf a) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand)))) (taylor -inf a) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor -inf a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand))))) (taylor -inf a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand)))))) (taylor -inf a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand))))))) (taylor -inf a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.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 (/ 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) (taylor 0 rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3) (taylor 0 rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3) (taylor 0 rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3) (taylor 0 rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 rand) (#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 (- (+ 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 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 (- (+ 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 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 (- (+ 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 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 (- a 1/3) (taylor 0 rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 rand) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<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))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<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))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<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))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<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 (- a 1/3) (taylor 0 rand) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 rand) (#s(alt #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))) #s(literal 1/3 binary64) (/.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 (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)) rand)) #<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 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<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 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<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 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<representation binary64>) () ())) ())
#s(alt (/ (- a 1/3) rand) (taylor 0 rand) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand) (taylor 0 rand) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand) (taylor 0 rand) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand) (taylor 0 rand) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 rand) (#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor 0 rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor 0 rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor 0 rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor 0 rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (/ 1 (- a 1/3)))) (taylor 0 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 0 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 0 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 0 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 (/ (- 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 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))) (taylor inf rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt (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))) (patch (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))) #<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 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 (* 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 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 (* 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 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 (* 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 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 (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor inf rand) (#s(alt (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))) (patch (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))) #<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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (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))) #<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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (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))) #<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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (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))) #<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))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<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))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<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))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<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))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<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 (sqrt (- a 1/3)))) (taylor inf rand) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<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 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<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 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<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 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<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 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (- a 1/3))) (taylor inf rand) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))) (taylor inf rand) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))) (taylor inf rand) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))) (taylor inf rand) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor inf rand) (#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) (taylor inf rand) (#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor inf rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor inf rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor inf rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor inf rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.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 (/ 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 (/ (- 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 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))) (taylor -inf rand) (#s(alt (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))) (patch (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))) #<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 (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))) (patch (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))) #<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 (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))) (patch (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))) #<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 (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))) (patch (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))) #<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 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 (* -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 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 (* -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 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 (* -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 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 (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor -inf rand) (#s(alt (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))) (patch (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))) #<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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (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))) #<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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (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))) #<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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (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))) #<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))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<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))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<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))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<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))) (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)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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)))) #<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 (sqrt (- a 1/3)))) (taylor -inf rand) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) (taylor -inf rand) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) (taylor -inf rand) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) (taylor -inf rand) (#s(alt (*.f64 (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)) rand) (patch (*.f64 (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)) rand) #<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 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<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 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<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 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<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 (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)) rand)) (patch #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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (- a 1/3))) (taylor -inf rand) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))) (taylor -inf rand) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))) (taylor -inf rand) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))) (taylor -inf rand) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor -inf rand) (#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) (taylor -inf rand) (#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) (taylor -inf rand) (#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) (taylor -inf rand) (#s(alt (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor -inf rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor -inf rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor -inf rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor -inf rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.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 (/ 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 (/ (- 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

6 calls:

TimeVariablePointExpression
7.0ms
a
@-inf
((+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (- a 1/3) (sqrt (+ (* a 9) -3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (* rand 1/3) (sqrt (- a 1/3))) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* rand 1/3) (sqrt (- a 1/3)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (/ rand (sqrt (- a 1/3))) (/ (- a 1/3) rand))
6.0ms
a
@inf
((+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (- a 1/3) (sqrt (+ (* a 9) -3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (* rand 1/3) (sqrt (- a 1/3))) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* rand 1/3) (sqrt (- a 1/3)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (/ rand (sqrt (- a 1/3))) (/ (- a 1/3) rand))
4.0ms
a
@0
((+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (- a 1/3) (sqrt (+ (* a 9) -3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (* rand 1/3) (sqrt (- a 1/3))) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* rand 1/3) (sqrt (- a 1/3)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (/ rand (sqrt (- a 1/3))) (/ (- a 1/3) rand))
3.0ms
rand
@0
((+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (- a 1/3) (sqrt (+ (* a 9) -3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (* rand 1/3) (sqrt (- a 1/3))) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* rand 1/3) (sqrt (- a 1/3)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (/ rand (sqrt (- a 1/3))) (/ (- a 1/3) rand))
3.0ms
rand
@-inf
((+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (- a 1/3) (sqrt (+ (* a 9) -3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (* rand 1/3) (sqrt (- a 1/3))) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* rand 1/3) (sqrt (- a 1/3)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (/ rand (sqrt (- a 1/3))) (/ (- a 1/3) rand))

simplify203.0ms (2%)

Memory
-8.2MiB live, 181.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07566313
124065476
081165093
Stop Event
1×iter limit
1×node limit
Counts
324 → 322
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)
(* -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
(- a 1/3)
(- a 1/3)
(- a 1/3)
(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))))))
(* -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)))))))))))))
(- (* 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)
(* -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)))))))))))))
(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))))))
(* 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)))))
(* -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)))))))))))))
(- (* 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)))
(- (* 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)
(* 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)))
(* 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)))
(/ -1/3 rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(* 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))))
(* 1/3 (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))))))))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* 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)))))))
(* 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))))
(* 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))))
(* 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))))))))
(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))))))))
(* 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))))
(* 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 (+ (* 1/3 (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))))
(* 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))))
(* (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)))))
(* (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))))
(/ 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)))))
(* -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)))
(* 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))))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -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))))))))
(* 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)))))
(* -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 (* (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)))))
(* -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 (* 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))))))
(* 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)))))
(* -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))))
(* -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)))
(* (sqrt a) rand)
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) 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)))
(/ 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)
(- (+ 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)
(- 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)
(- 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)
(- 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)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- 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)
(/ (- 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)
(- 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)
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (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))))
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(* (* 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))))
(* 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))))
(* 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))))
(* 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)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 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))))
(* 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 (sqrt (- a 1/3)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(* 1/3 (* rand (sqrt (- 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))))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (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))))
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) 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 (* 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 (- 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 (- 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)
(* 1/3 rand)
(* 1/3 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 (- 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 (- a 1/3)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(* 1/3 (* rand (sqrt (- 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 (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (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))))
(/ (- 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 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #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 (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #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)
(fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 rand (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #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 (+.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 rand (/.f64 #s(literal 15/16 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 rand (/.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 #s(literal -1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 rand (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal -1/3 binary64) #s(literal -1/3 binary64)))
(* -1/3 (sqrt -1/3))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #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 (fma.f64 (-.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)))) a (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #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 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 15/16 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) 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))))) a (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(sqrt -3)
(sqrt.f64 #s(literal -3 binary64))
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(fma.f64 (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64))) a (sqrt.f64 #s(literal -3 binary64)))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(fma.f64 (fma.f64 #s(literal 27/8 binary64) (/.f64 a (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (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 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) #s(literal 729/16 binary64)) (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (sqrt.f64 #s(literal -3 binary64)))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (+.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (+.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (fma.f64 (+.f64 (/.f64 (*.f64 #s(literal 45/16 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal -1/3 binary64))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand #s(literal 1 binary64)) a (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand #s(literal 1 binary64))) a (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand #s(literal 1 binary64))) a (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal -1/3 binary64)))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (+.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (+.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (fma.f64 (+.f64 (/.f64 (*.f64 #s(literal 45/16 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (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 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64)))
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand)) rand)
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand)) rand (*.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand #s(literal 1 binary64)) a))
(+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand #s(literal 1 binary64))) a (*.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand)) rand))
(+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand #s(literal 1 binary64))) a (*.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand)) rand))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (+.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (+.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (fma.f64 (+.f64 (/.f64 (*.f64 #s(literal 45/16 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (+.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand)))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal -1/3 binary64))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand #s(literal 1 binary64)) a (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand #s(literal 1 binary64))) a (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand #s(literal 1 binary64))) a (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal -1/3 binary64)))
(* rand (sqrt -1/3))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
(* rand (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) rand)
(+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))
(fma.f64 (*.f64 #s(literal -9/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
(+ (* 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 (fma.f64 (/.f64 (*.f64 #s(literal -81/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) a (*.f64 #s(literal -9/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
(+ (* 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 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (fma.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (*.f64 #s(literal 405/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 #s(literal -9/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
(/ -1/3 rand)
(/.f64 #s(literal -1/3 binary64) rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/9 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) 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 (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) 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 (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) #s(literal 0 binary64) (*.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a)
(* 1/3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/9 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) a)
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
(*.f64 (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 0 binary64) (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) a)
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64))) 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 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) #s(literal 0 binary64) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))))) a a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a)
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(*.f64 (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a)
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 (fma.f64 rand (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1/3 binary64) a))) a))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64))) 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 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) #s(literal 0 binary64) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))))) a a)
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(*.f64 (fma.f64 #s(literal -1/72 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 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) 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 (+.f64 (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a)
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))
(*.f64 (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a)
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 (fma.f64 rand (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1/3 binary64) a))) a))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64))) 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 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) #s(literal 0 binary64) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))))) a a)
(* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(fma.f64 (*.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 a rand))
(* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand)) a)
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))
(*.f64 (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand))) a)
(* 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))))
(*.f64 (+.f64 (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand))) (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -1/3 binary64) a) rand))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a)
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(*.f64 (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a)
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 (fma.f64 rand (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1/3 binary64) a))) a))
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(*.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (*.f64 #s(literal -1/72 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))) a)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))
(*.f64 (fma.f64 rand (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 #s(literal -1/72 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 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) a)
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(+ (* 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) (pow.f64 a #s(literal 3 binary64)))) (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 (*.f64 #s(literal 1/18 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(fma.f64 (*.f64 #s(literal 1/18 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(/ a rand)
(/.f64 a rand)
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand)) a)
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand)) a)
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand)) a)
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)))
(* -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 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (fma.f64 (*.f64 #s(literal -1/9 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #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)))
(neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.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))) 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/18 binary64))) a) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/9 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64))) (neg.f64 a))) a (neg.f64 a)))
(* 1/3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/9 (sqrt (/ 1 (pow a 3)))))))
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/9 (sqrt (/ 1 a))) (* -1/18 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1/6 binary64) a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 a))) (* 1/18 (sqrt a)))) a)) (* -1/9 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) (/.f64 (fma.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 0 binary64) (*.f64 (sqrt.f64 a) #s(literal 1/18 binary64))) (neg.f64 a))) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.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 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/24 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.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))) (+ (* 1/144 (* (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 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/24 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal 1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #s(literal -1/3 binary64))) (neg.f64 a)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -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 (neg.f64 a) (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))))) (neg.f64 a))) (neg.f64 a)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) a) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
(* -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)))
(neg.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand (/.f64 (fma.f64 (/.f64 (*.f64 rand (fma.f64 #s(literal 1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 a)))) (neg.f64 a)) #s(literal -1 binary64) #s(literal 1/3 binary64)) a)) a (neg.f64 a)))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal 1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #s(literal -1/3 binary64))) (neg.f64 a)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -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 (neg.f64 a) (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))))) (neg.f64 a))) (neg.f64 a)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 a) #s(literal 1 binary64))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 1/72 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 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))
(*.f64 (*.f64 (neg.f64 a) rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) rand)))
(* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))
(*.f64 (neg.f64 a) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) rand)) rand (/.f64 #s(literal 1/3 binary64) 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))))))
(*.f64 (neg.f64 a) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) rand)) rand (/.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) rand)) rand) (/.f64 (-.f64 (/.f64 (*.f64 rand (fma.f64 #s(literal 1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 a)))) (neg.f64 a)) #s(literal 1/3 binary64)) a)))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal 1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #s(literal -1/3 binary64))) (neg.f64 a)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -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 (neg.f64 a) (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))))) (neg.f64 a))) (neg.f64 a)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) rand)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))
(*.f64 (neg.f64 a) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand)) (/.f64 #s(literal 1 binary64) 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))))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/18 binary64) (/.f64 #s(literal -1/3 binary64) rand)) a) #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) 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))))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 a))) (neg.f64 a)) (/.f64 #s(literal 1/3 binary64) rand)) a) #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) rand))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64))))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) a) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
(* -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 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand (/.f64 (fma.f64 (/.f64 (*.f64 rand (fma.f64 #s(literal 1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 a)))) (neg.f64 a)) #s(literal -1 binary64) #s(literal 1/3 binary64)) a)) a (neg.f64 a)))
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)))))
(*.f64 (neg.f64 a) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand))))))
(*.f64 (neg.f64 a) (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.f64 (*.f64 #s(literal 1/72 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand)))))))
(*.f64 (neg.f64 a) (fma.f64 rand (fma.f64 #s(literal 1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (*.f64 #s(literal -1/18 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/18 binary64))) (neg.f64 (pow.f64 a #s(literal 3 binary64)))))
(/ a rand)
(/.f64 a rand)
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand) (/.f64 #s(literal 1 binary64) rand)))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand) (/.f64 #s(literal 1 binary64) rand)))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand) (/.f64 #s(literal 1 binary64) rand)))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (-.f64 a #s(literal 1/3 binary64)))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(/ (- a 1/3) rand)
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) rand)
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) rand)
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) rand)
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) rand)
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) rand)
(/ (- a 1/3) rand)
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(/ (- a 1/3) rand)
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(/ (- a 1/3) rand)
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(/ (- a 1/3) rand)
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) 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 (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* 1/3 (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 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))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 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))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 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))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) rand)
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) rand)
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) rand)
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) rand)
(/ (- a 1/3) rand)
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(/ (- a 1/3) rand)
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(/ (- a 1/3) rand)
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(/ (- a 1/3) rand)
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (neg.f64 rand) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (neg.f64 rand) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (neg.f64 rand) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #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 (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)))
(* 1/3 (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 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))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 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))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 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))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)))
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) rand)
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) rand)
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) rand)
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) rand)
(/ (- a 1/3) rand)
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(/ (- a 1/3) rand)
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(/ (- a 1/3) rand)
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(/ (- a 1/3) rand)
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)

rewrite374.0ms (3.7%)

Memory
-6.2MiB live, 244.0MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032187
052189
1218177
21892161
08192161
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 1 798
Calls
Call 1
Inputs
(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)))
(/.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))
(sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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 (*.f64 rand #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)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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))))
(*.f64 rand #s(literal 1/3 binary64))
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (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)) rand)
#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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) 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 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (/.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 (-.f64 a #s(literal 1/3 binary64)) rand)
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval1.0s (10.1%)

Memory
26.0MiB live, 553.4MiB allocated
Compiler

Compiled 83 496 to 5 295 computations (93.7% saved)

prune170.0ms (1.7%)

Memory
7.1MiB live, 188.3MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New2 686132 699
Fresh505
Picked415
Done000
Total2 695142 709
Accuracy
100.0%
Counts
2 709 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.2%
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand #s(approx (- a 1/3) #s(literal -1/3 binary64)))
▶99.8%
(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)))
40.1%
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
▶98.6%
(fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64)))
99.8%
(-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)))
▶97.7%
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
35.4%
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand)))
40.6%
#s(approx (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
▶35.7%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))))
✓60.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
37.4%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
40.6%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand))
60.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
▶1.5%
#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 274 to 237 computations (13.5% saved)

simplify445.0ms (4.5%)

Memory
-17.1MiB live, 99.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/3 binary64) rand)
cost-diff0
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
cost-diff0
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
cost-diff0
(sqrt.f64 a)
cost-diff0
(*.f64 (sqrt.f64 a) rand)
cost-diff0
#s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand))
cost-diff0
(fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64)))
cost-diff0
(-.f64 a #s(literal -1/3 binary64))
cost-diff0
(fma.f64 a a #s(literal -1/9 binary64))
cost-diff0
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))
cost-diff0
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))))
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
(-.f64 a #s(literal 1/3 binary64))
cost-diff0
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
cost-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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046207
067207
1118201
2225201
3517201
41094201
51695201
62746201
73924201
84619201
95109201
105252201
115373201
126236201
136712201
146808201
156832201
166844201
176848201
186859201
196863201
206863201
216863201
227167201
237612201
247612201
257612201
267618201
07618197
Stop Event
1×iter limit
1×saturated
1×iter limit
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)))
(*.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(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 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))
(fma.f64 a a #s(literal -1/9 binary64))
a
#s(literal -1/9 binary64)
(-.f64 a #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64)))
#s(literal 1/3 binary64)
#s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) rand)
(sqrt.f64 a)
a
rand
(-.f64 a #s(literal 1/3 binary64))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
#s(literal 1/3 binary64)
rand
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
Outputs
(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 (fma.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 1/3 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(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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #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 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))
(fma.f64 a a #s(literal -1/9 binary64))
a
#s(literal -1/9 binary64)
(-.f64 a #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))
#s(literal 1/3 binary64)
#s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) rand)
(sqrt.f64 a)
a
rand
(-.f64 a #s(literal 1/3 binary64))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) a))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) a) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) a)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
(*.f64 rand #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
rand
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a

localize135.0ms (1.4%)

Memory
25.6MiB live, 259.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0859375
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
accuracy0.125
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
accuracy0.34375
(*.f64 #s(literal 1/3 binary64) rand)
accuracy1.3234759436036154
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
accuracy0.00390625
(-.f64 a #s(literal 1/3 binary64))
accuracy0.08984375
(fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64)))
accuracy0.26953125
(*.f64 (sqrt.f64 a) rand)
accuracy1.314652756876557
#s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand))
accuracy0
(fma.f64 a a #s(literal -1/9 binary64))
accuracy0
(-.f64 a #s(literal -1/3 binary64))
accuracy25.28931947908894
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))))
accuracy30.53312471846094
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))
accuracy25.28931947908894
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
accuracy63.30839171345123
#s(approx (- a 1/3) #s(literal -1/3 binary64))
accuracy0.00390625
(-.f64 a #s(literal 1/3 binary64))
accuracy0.015625
(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)))
accuracy0.26171875
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
Samples
108.0ms256×0valid
Compiler

Compiled 317 to 72 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 26.0ms (36.5% of total)
ival-add: 12.0ms (16.9% of total)
const: 11.0ms (15.5% of total)
ival-div: 9.0ms (12.7% of total)
ival-sqrt: 9.0ms (12.7% of total)
ival-sub: 4.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series38.0ms (0.4%)

Memory
-9.7MiB live, 101.9MiB allocated
Counts
18 → 336
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 (*.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 (-.f64 a #s(literal 1/3 binary64)) (patch (-.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 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) (patch (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 a a #s(literal -1/9 binary64)) (patch (fma.f64 a a #s(literal -1/9 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 a #s(literal -1/3 binary64)) (patch (-.f64 a #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) rand) (patch (*.f64 #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 (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 (* rand (sqrt -1/3)) (taylor 0 a) (#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 (+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))) (taylor 0 a) (#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 (+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3))) (taylor 0 a) (#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 (+ (* 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))) (taylor 0 a) (#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 -1/3) (taylor 0 a) (#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 (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3)))) (taylor 0 a) (#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 (+ (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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #<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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.f64 a #s(literal 1/3 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 (* -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))) #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 (+ (* -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))) #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 (+ (* -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))) #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 (+ (* -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))) #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 -1/3 (taylor 0 a) (#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 (- a 1/3) (taylor 0 a) (#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 (- a 1/3) (taylor 0 a) (#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 (- a 1/3) (taylor 0 a) (#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 (* -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))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) (patch (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) (patch (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) (patch (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) (patch (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/9 (taylor 0 a) (#s(alt (fma.f64 a a #s(literal -1/9 binary64)) (patch (fma.f64 a a #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow a 2) 1/9) (taylor 0 a) (#s(alt (fma.f64 a a #s(literal -1/9 binary64)) (patch (fma.f64 a a #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow a 2) 1/9) (taylor 0 a) (#s(alt (fma.f64 a a #s(literal -1/9 binary64)) (patch (fma.f64 a a #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow a 2) 1/9) (taylor 0 a) (#s(alt (fma.f64 a a #s(literal -1/9 binary64)) (patch (fma.f64 a a #s(literal -1/9 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 (+ 1/3 a) (taylor 0 a) (#s(alt (-.f64 a #s(literal -1/3 binary64)) (patch (-.f64 a #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 a) (taylor 0 a) (#s(alt (-.f64 a #s(literal -1/3 binary64)) (patch (-.f64 a #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 a) (taylor 0 a) (#s(alt (-.f64 a #s(literal -1/3 binary64)) (patch (-.f64 a #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3) (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) 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)))))) 1/3) (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.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 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) 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 (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3) (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt -1/3)) (taylor 0 a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))) (taylor 0 a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3))) (taylor 0 a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3))) (taylor 0 a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (sqrt a) (taylor 0 a) (#s(alt (sqrt.f64 a) (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt (sqrt a) (taylor 0 a) (#s(alt (sqrt.f64 a) (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt (sqrt a) (taylor 0 a) (#s(alt (sqrt.f64 a) (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt (sqrt a) (taylor 0 a) (#s(alt (sqrt.f64 a) (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt (- (* -1/3 (* rand (sqrt -1/3))) 1/3) (taylor 0 a) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 a) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a) (taylor 0 a) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a) (taylor 0 a) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a) (taylor 0 a) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (* (sqrt a) rand) (taylor inf a) (#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 (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))) (taylor inf a) (#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 (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#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 (* 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))))) (taylor inf a) (#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 a) (taylor inf a) (#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 (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3)))))) (taylor inf a) (#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 (* 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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #<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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.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 (+ 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))) #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 (* 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))) #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 (* 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))) #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 (* 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))) #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 a (taylor inf a) (#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 (* a (- 1 (* 1/3 (/ 1 a)))) (taylor inf a) (#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 (* a (- 1 (* 1/3 (/ 1 a)))) (taylor inf a) (#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 (* a (- 1 (* 1/3 (/ 1 a)))) (taylor inf a) (#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 (* 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))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt a (taylor inf a) (#s(alt (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) (patch (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (- 1 (* 1/3 (/ 1 a)))) (taylor inf a) (#s(alt (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) (patch (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (- 1 (* 1/3 (/ 1 a)))) (taylor inf a) (#s(alt (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) (patch (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (- 1 (* 1/3 (/ 1 a)))) (taylor inf a) (#s(alt (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) (patch (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (fma.f64 a a #s(literal -1/9 binary64)) (patch (fma.f64 a a #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2))))) (taylor inf a) (#s(alt (fma.f64 a a #s(literal -1/9 binary64)) (patch (fma.f64 a a #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2))))) (taylor inf a) (#s(alt (fma.f64 a a #s(literal -1/9 binary64)) (patch (fma.f64 a a #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2))))) (taylor inf a) (#s(alt (fma.f64 a a #s(literal -1/9 binary64)) (patch (fma.f64 a a #s(literal -1/9 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 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.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 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.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 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.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 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor inf a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))) (taylor inf a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand))))) (taylor inf a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (sqrt a) (taylor inf a) (#s(alt (sqrt.f64 a) (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt (sqrt a) (taylor inf a) (#s(alt (sqrt.f64 a) (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt (sqrt a) (taylor inf a) (#s(alt (sqrt.f64 a) (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt (sqrt a) (taylor inf a) (#s(alt (sqrt.f64 a) (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (taylor -inf a) (#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 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (taylor -inf a) (#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 (* -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))))))) (taylor -inf a) (#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 (* -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)))))))) (taylor -inf a) (#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 (* -1 (* (sqrt a) (pow (sqrt -1) 2))) (taylor -inf a) (#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 (* -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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #<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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #<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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.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 (* 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))) #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 (* -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))) #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 (* -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))) #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 (* -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))))) (taylor -inf a) (#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 a (taylor -inf a) (#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 (* -1 (* a (- (* 1/3 (/ 1 a)) 1))) (taylor -inf a) (#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 (* -1 (* a (- (* 1/3 (/ 1 a)) 1))) (taylor -inf a) (#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 (* -1 (* a (- (* 1/3 (/ 1 a)) 1))) (taylor -inf a) (#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 (* 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))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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 (/ (+ (* -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 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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 (/ (+ (* -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))))) (taylor -inf a) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) (patch (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) (patch (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) (patch (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) (patch (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (fma.f64 a a #s(literal -1/9 binary64)) (patch (fma.f64 a a #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 a a #s(literal -1/9 binary64)) (patch (fma.f64 a a #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 a a #s(literal -1/9 binary64)) (patch (fma.f64 a a #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 a a #s(literal -1/9 binary64)) (patch (fma.f64 a a #s(literal -1/9 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 (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor -inf a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand))))) (taylor -inf a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand)))))) (taylor -inf a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand))))))) (taylor -inf a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt a) (pow (sqrt -1) 2))) (taylor -inf a) (#s(alt (sqrt.f64 a) (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt a) (pow (sqrt -1) 2))) (taylor -inf a) (#s(alt (sqrt.f64 a) (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt a) (pow (sqrt -1) 2))) (taylor -inf a) (#s(alt (sqrt.f64 a) (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt a) (pow (sqrt -1) 2))) (taylor -inf a) (#s(alt (sqrt.f64 a) (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1))) (taylor -inf a) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) #<representation binary64>) () ())) ())
#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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (* rand (sqrt (- a 1/3))) (taylor 0 rand) (#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 (* rand (sqrt (- a 1/3))) (taylor 0 rand) (#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 (* rand (sqrt (- a 1/3))) (taylor 0 rand) (#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 (* rand (sqrt (- a 1/3))) (taylor 0 rand) (#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 (- a 1/3) (taylor 0 rand) (#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 (- (+ 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))) #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 (- (+ 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))) #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 (- (+ 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))) #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 (- a 1/3) (taylor 0 rand) (#s(alt #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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 #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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 #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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 #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 rand) (#s(alt (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.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 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.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 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.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 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor 0 rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor 0 rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor 0 rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor 0 rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor 0 rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor 0 rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor 0 rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor 0 rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 rand) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 rand) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 rand) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 rand) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 rand) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 rand) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (taylor 0 rand) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (taylor 0 rand) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (taylor 0 rand) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (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 (* rand (sqrt (- a 1/3))) (taylor inf rand) (#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 (* rand (sqrt (- a 1/3))) (taylor inf rand) (#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 (* rand (sqrt (- a 1/3))) (taylor inf rand) (#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 (* rand (sqrt (- a 1/3))) (taylor inf rand) (#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 (* 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))) #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 (* 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))) #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 (* 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))) #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 (* 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))) #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 (* 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 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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 #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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 #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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 #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.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 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.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 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.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 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor inf rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor inf rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor inf rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor inf rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor inf rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor inf rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor inf rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor inf rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))) (taylor inf rand) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor inf rand) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) (taylor inf rand) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) (taylor inf rand) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) (taylor inf rand) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf rand) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (taylor inf rand) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (taylor inf rand) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (taylor inf rand) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<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 (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 (* rand (sqrt (- a 1/3))) (taylor -inf rand) (#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 (* rand (sqrt (- a 1/3))) (taylor -inf rand) (#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 (* rand (sqrt (- a 1/3))) (taylor -inf rand) (#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 (* rand (sqrt (- a 1/3))) (taylor -inf rand) (#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 (* 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))) #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 (* -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))) #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 (* -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))) #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 (* -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))) #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 (* 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 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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 #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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 #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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 #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (patch #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 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 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.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 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.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 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.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 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor -inf rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor -inf rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor -inf rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor -inf rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor -inf rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor -inf rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor -inf rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor -inf rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))) (taylor -inf rand) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor -inf rand) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a))))) (taylor -inf rand) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a))))) (taylor -inf rand) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a))))) (taylor -inf rand) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf rand) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (taylor -inf rand) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (taylor -inf rand) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (taylor -inf rand) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #<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>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
7.0ms
rand
@0
((+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (+ (* a a) -1/9) (- a -1/3)) (+ (* a a) -1/9) (- a -1/3) (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (* (sqrt a) rand) (sqrt a) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) (* 1/3 rand))
6.0ms
rand
@-inf
((+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (+ (* a a) -1/9) (- a -1/3)) (+ (* a a) -1/9) (- a -1/3) (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (* (sqrt a) rand) (sqrt a) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) (* 1/3 rand))
4.0ms
a
@inf
((+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (+ (* a a) -1/9) (- a -1/3)) (+ (* a a) -1/9) (- a -1/3) (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (* (sqrt a) rand) (sqrt a) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) (* 1/3 rand))
4.0ms
a
@-inf
((+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (+ (* a a) -1/9) (- a -1/3)) (+ (* a a) -1/9) (- a -1/3) (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (* (sqrt a) rand) (sqrt a) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) (* 1/3 rand))
2.0ms
rand
@inf
((+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (+ (* a a) -1/9) (- a -1/3)) (+ (* a a) -1/9) (- a -1/3) (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (* (sqrt a) rand) (sqrt a) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) (* 1/3 rand))

simplify197.0ms (2%)

Memory
6.9MiB live, 259.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05244703
116664154
259323979
081623678
Stop Event
1×iter limit
1×node limit
Counts
336 → 327
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)
(* 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 -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))))))
-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)))))))))))))
-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)))))))))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
-1/9
(- (pow a 2) 1/9)
(- (pow a 2) 1/9)
(- (pow a 2) 1/9)
1/3
(+ 1/3 a)
(+ 1/3 a)
(+ 1/3 a)
(- (* 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)
(* 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)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(- (* -1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(* 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))))
(* (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)))))
(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))))))))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (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
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (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
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(pow a 2)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* 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))))
(* (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)))))
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* 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))))
(* 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 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* -1 (* (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 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* 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 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* 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 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(pow a 2)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 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)))
(* (sqrt a) rand)
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) 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))))
(* -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 (* 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 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(- 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)
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (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)
(- 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)
(- 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)
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(- 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)
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
1
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 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))))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 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))))
(* 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))))
(* 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))))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (* 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))))
(* 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 (/ 1 a)) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 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 (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* 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 (- 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 (- 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 (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) 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))
(* -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 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
Outputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #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 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) a) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64) #s(literal -1/3 binary64)))
(* rand (sqrt -1/3))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) a (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (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 (fma.f64 (fma.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (+.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -3/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) a))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (+.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -3/2 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (+.f64 #s(literal 1/18 binary64) (*.f64 a #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 45/16 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) a)) a))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (+.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -3/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) a))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (+.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -3/2 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (+.f64 #s(literal 1/18 binary64) (*.f64 a #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 45/16 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) a)) a))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow a 2) 1/9)
(fma.f64 a a #s(literal -1/9 binary64))
(- (pow a 2) 1/9)
(fma.f64 a a #s(literal -1/9 binary64))
(- (pow a 2) 1/9)
(fma.f64 a a #s(literal -1/9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 a)
(+.f64 a #s(literal 1/3 binary64))
(+ 1/3 a)
(+.f64 a #s(literal 1/3 binary64))
(+ 1/3 a)
(+.f64 a #s(literal 1/3 binary64))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #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 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) a) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64) #s(literal -1/3 binary64)))
(* rand (sqrt -1/3))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(- (* -1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand #s(literal -1/3 binary64))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)
(fma.f64 (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand #s(literal -1/3 binary64)))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ 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 (+.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 a #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) a)) (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand #s(literal -1/3 binary64)))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ 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 (+.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 a #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 9/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 a #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 15/16 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) a)) a)) (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(*.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(*.f64 (*.f64 rand (fma.f64 #s(literal -1/72 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 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) a)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))
(*.f64 (*.f64 rand (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a)
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(*.f64 (fma.f64 #s(literal -1/72 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 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) 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 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(-.f64 a #s(literal 1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(-.f64 a #s(literal 1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(-.f64 a #s(literal 1/3 binary64))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #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 (fma.f64 (/.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 0 binary64))) a a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(-.f64 a #s(literal 1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(-.f64 a #s(literal 1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(-.f64 a #s(literal 1/3 binary64))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #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 (fma.f64 (/.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 0 binary64))) a a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(-.f64 a #s(literal 1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(-.f64 a #s(literal 1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(-.f64 a #s(literal 1/3 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) a) a)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) a) a)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) a) a)
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal 1/3 binary64))
(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal 1/3 binary64))
(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal 1/3 binary64))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(*.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(*.f64 (*.f64 rand (fma.f64 #s(literal -1/72 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 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) a)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))
(*.f64 (*.f64 rand (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/9 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* 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))))
(fma.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* 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))))
(fma.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(fma.f64 (neg.f64 a) (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (-.f64 a #s(literal 1/3 binary64)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 (neg.f64 a) (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) a)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 (neg.f64 a) (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 rand (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 a) #s(literal 1/18 binary64)))) a) #s(literal 1/3 binary64)) a)))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a)
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(*.f64 (neg.f64 a) (*.f64 (neg.f64 rand) (fma.f64 #s(literal -1/72 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 3 binary64)))) #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(*.f64 (neg.f64 a) (*.f64 rand (fma.f64 #s(literal 1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 1/72 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 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(-.f64 a #s(literal 1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(-.f64 a #s(literal 1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(-.f64 a #s(literal 1/3 binary64))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (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 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal 1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/2 binary64))) a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (+.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) #s(literal 0 binary64)) (neg.f64 a))) a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(-.f64 a #s(literal 1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(-.f64 a #s(literal 1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(-.f64 a #s(literal 1/3 binary64))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (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 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal 1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/2 binary64))) a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (+.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) #s(literal 0 binary64)) (neg.f64 a))) a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(-.f64 a #s(literal 1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(-.f64 a #s(literal 1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(-.f64 a #s(literal 1/3 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) a) a)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) a) a)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) a) a)
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal 1/3 binary64))
(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal 1/3 binary64))
(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal 1/3 binary64))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(fma.f64 (neg.f64 a) (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (-.f64 a #s(literal 1/3 binary64)))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (neg.f64 a) (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) a)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (neg.f64 a) (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 rand (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 a) #s(literal 1/18 binary64)))) a) #s(literal 1/3 binary64)) a)))
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)))))
(*.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a)
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand))))))
(*.f64 (neg.f64 a) (*.f64 (neg.f64 rand) (fma.f64 #s(literal -1/72 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 3 binary64)))) #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand)))))))
(*.f64 (neg.f64 a) (*.f64 rand (fma.f64 #s(literal 1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (neg.f64 a) (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/9 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) 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 (neg.f64 a) (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/6 binary64)) #s(literal -1/3 binary64)) a)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (neg.f64 a) (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/9 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/18 binary64) #s(literal 0 binary64)) a)) a)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (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)) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (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)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (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)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (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)) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (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)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (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)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (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)) rand)
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (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)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (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)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (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)) rand)
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (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)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (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)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (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)) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 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))

rewrite189.0ms (1.9%)

Memory
11.0MiB live, 239.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046183
067178
1267164
22018156
08966150
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 362
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)))
(*.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))
#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 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))
(fma.f64 a a #s(literal -1/9 binary64))
(-.f64 a #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) rand)
(sqrt.f64 a)
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval157.0ms (1.6%)

Memory
-7.9MiB live, 232.8MiB allocated
Compiler

Compiled 14 129 to 1 729 computations (87.8% saved)

prune28.0ms (0.3%)

Memory
10.4MiB live, 86.6MiB allocated
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New8058813
Fresh538
Picked415
Done011
Total81413827
Accuracy
100.0%
Counts
827 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.2%
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand #s(approx (- a 1/3) #s(literal -1/3 binary64)))
40.1%
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
40.1%
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
▶98.6%
(-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))))
▶97.7%
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a))
35.4%
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand)))
▶59.8%
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))
97.8%
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
▶39.3%
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
▶40.6%
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
13.1%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(approx (- a -1/3) #s(literal 1/3 binary64))))
✓60.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
✓1.5%
#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 229 to 208 computations (9.2% saved)

simplify151.0ms (1.5%)

Memory
-25.2MiB live, 134.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 rand (sqrt.f64 a))
cost-diff0
(*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))
cost-diff0
(fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)
cost-diff0
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a))
cost-diff0
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
cost-diff0
(*.f64 rand #s(literal 1/3 binary64))
cost-diff0
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
cost-diff0
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
cost-diff0
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
cost-diff0
#s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))
cost-diff0
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
cost-diff0
#s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)
cost-diff0
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))
cost-diff0
#s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand))
cost-diff0
(*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))
cost-diff0
(-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))))
cost-diff128
(-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047302
064302
1120302
2212302
3393296
4788296
51595296
62701296
74435296
85900296
96373296
106760296
117260296
127878296
08168284
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))))
a
(-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))
#s(literal 1/3 binary64)
(*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))
#s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) rand)
(sqrt.f64 a)
rand
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))
(*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)
#s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
a
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
#s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(sqrt.f64 a)
a
#s(literal 1/3 binary64)
rand
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(*.f64 rand #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(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a))
(fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)
a
(*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))
(/.f64 rand (sqrt.f64 a))
rand
(sqrt.f64 a)
#s(literal 1/3 binary64)
Outputs
(-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))))
(fma.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 rand (sqrt.f64 a))) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))
a
(-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal -1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 rand (sqrt.f64 a))) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))
(*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 rand (sqrt.f64 a))) #s(literal 1/3 binary64))
#s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand))
#s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) rand)
(*.f64 rand (sqrt.f64 a))
(sqrt.f64 a)
rand
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))
(*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)
#s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
a
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
#s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(sqrt.f64 a)
a
#s(literal 1/3 binary64)
rand
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(*.f64 rand #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(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a a))
(fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a a)
a
(*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))
(/.f64 rand (sqrt.f64 a))
rand
(sqrt.f64 a)
#s(literal 1/3 binary64)

localize115.0ms (1.2%)

Memory
26.3MiB live, 261.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)
accuracy0.17578125
(/.f64 rand (sqrt.f64 a))
accuracy0.3125
(*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))
accuracy1.3234759436036154
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a))
accuracy0.015625
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy0.27734375
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
accuracy0.34375
(*.f64 rand #s(literal 1/3 binary64))
accuracy37.90190300265116
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
accuracy0.1875
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
accuracy0.35546875
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
accuracy1.3234759436036154
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
accuracy37.901903002692414
#s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))
accuracy0.0859375
(*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)
accuracy1.3234759436036154
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))
accuracy25.35218873405474
#s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64))
accuracy0.03515625
(-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))
accuracy0.265625
(*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))
accuracy0.26953125
(*.f64 (sqrt.f64 a) rand)
accuracy1.314652756876557
#s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand))
Samples
93.0ms256×0valid
Compiler

Compiled 368 to 66 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 22.0ms (35.7% of total)
ival-div: 14.0ms (22.7% of total)
ival-sqrt: 9.0ms (14.6% of total)
const: 8.0ms (13% of total)
ival-add: 5.0ms (8.1% of total)
ival-sub: 4.0ms (6.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series65.0ms (0.6%)

Memory
-3.3MiB live, 73.9MiB allocated
Counts
20 → 444
Calls
Call 1
Inputs
#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (patch (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<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 (-.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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) #<representation binary64>) () ())
#s(alt (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())
Outputs
#s(alt (- 1/3 (* 1/3 (* rand (sqrt -1/3)))) (taylor 0 a) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/3 (* -1/6 (/ (* a rand) (sqrt -1/3)))) (* 1/3 (* rand (sqrt -1/3)))) (taylor 0 a) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/3 (* a (- (* 1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3)))))) (* 1/3 (* rand (sqrt -1/3)))) (taylor 0 a) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/3 (* a (- (* a (- (* -1/48 (/ (* a rand) (pow (sqrt -1/3) 5))) (* -1/24 (/ rand (pow (sqrt -1/3) 3))))) (* 1/6 (/ rand (sqrt -1/3)))))) (* 1/3 (* rand (sqrt -1/3)))) (taylor 0 a) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3) (taylor 0 a) (#s(alt (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #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 (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #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 (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #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 (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt -1/3))) (taylor 0 a) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3)))) (taylor 0 a) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3)))))) (taylor 0 a) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5)))))))) (taylor 0 a) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt -1/3)) (taylor 0 a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))) (taylor 0 a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3))) (taylor 0 a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3))) (taylor 0 a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/3 (* rand (sqrt -1/3))) 1/3) (taylor 0 a) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor 0 a) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 a) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 a) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 a) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 a) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a) (taylor 0 a) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a) (taylor 0 a) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a) (taylor 0 a) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/3 (* rand (sqrt -1/3))) 1/3) (taylor 0 a) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor 0 a) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 a) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 a) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 a) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt a)) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (patch (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt a)) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (patch (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt a)) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (patch (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt a)) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (patch (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3) (taylor 0 a) (#s(alt #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.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 #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.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 #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.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 #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt -1/3))) (taylor 0 a) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3)))) (taylor 0 a) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3)))))) (taylor 0 a) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5)))))))) (taylor 0 a) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt -1/3) (taylor 0 a) (#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 (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3)))) (taylor 0 a) (#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 (+ (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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #<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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/3 (* rand (sqrt -1/3))) 1/3) (taylor 0 a) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor 0 a) (#s(alt (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor 0 a) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor 0 a) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor 0 a) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor 0 a) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt a) rand)) (taylor inf a) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (- (* 1/3 (/ 1 a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (/ 1 a))) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (/ 1 a))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (taylor inf a) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #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 (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #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 (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #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 (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor inf a) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (taylor inf a) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) (taylor inf a) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor inf a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))) (taylor inf a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand))))) (taylor inf a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (taylor inf a) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (taylor inf a) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (taylor inf a) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (taylor inf a) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<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 (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor inf a) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor inf a) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor inf a) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor inf a) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt a)) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (patch (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt a)) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (patch (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt a)) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (patch (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt a)) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (patch (*.f64 (sqrt.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 (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.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 #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.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 #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.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 #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor inf a) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (taylor inf a) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (taylor inf a) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) (taylor inf a) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt a) (taylor inf a) (#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 (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3)))))) (taylor inf a) (#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 (* 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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #<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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) #<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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor inf a) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor inf a) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor inf a) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor inf a) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt a) rand)) (taylor -inf a) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a)))) (taylor -inf a) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (+ 1/3 (* -1/18 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))))) (taylor -inf a) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (+ 1/3 (* -1 (/ (- (* -1/216 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt a) rand))) a))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))))) (taylor -inf a) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1))) (taylor -inf a) (#s(alt (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1))) (taylor -inf a) (#s(alt (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1))) (taylor -inf a) (#s(alt (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1))) (taylor -inf a) (#s(alt (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor -inf a) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand))))) (taylor -inf a) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)))))) (taylor -inf a) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand))))))) (taylor -inf a) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor -inf a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand))))) (taylor -inf a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand)))))) (taylor -inf a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand))))))) (taylor -inf a) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1))) (taylor -inf a) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) #<representation binary64>) () ())) ())
#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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (taylor -inf a) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (taylor -inf a) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (taylor -inf a) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (taylor -inf a) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) (taylor -inf a) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) (taylor -inf a) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) (taylor -inf a) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) (taylor -inf a) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1))) (taylor -inf a) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<representation binary64>) () ())) ())
#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 (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<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 (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<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 (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (taylor -inf a) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (taylor -inf a) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (taylor -inf a) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (taylor -inf a) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (patch (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (patch (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (patch (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (patch (*.f64 (sqrt.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 #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.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 #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.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 #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.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 #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt a) (pow (sqrt -1) 2))) (taylor -inf a) (#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 (* -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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #<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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #<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 a #s(literal 1/3 binary64))) (patch (sqrt.f64 (-.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 #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) #<representation binary64>) () ())) ())
#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 (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1))) (taylor -inf a) (#s(alt (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1))) (taylor -inf a) (#s(alt (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1))) (taylor -inf a) (#s(alt (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1))) (taylor -inf a) (#s(alt (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf a) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor -inf a) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor -inf a) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor -inf a) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor -inf a) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 rand) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* -1/3 (* rand (sqrt (- a 1/3))))) (taylor 0 rand) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* -1/3 (* rand (sqrt (- a 1/3))))) (taylor 0 rand) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* -1/3 (* rand (sqrt (- a 1/3))))) (taylor 0 rand) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 rand) (#s(alt (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (taylor 0 rand) (#s(alt (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor 0 rand) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor 0 rand) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor 0 rand) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor 0 rand) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor 0 rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor 0 rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor 0 rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor 0 rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 rand) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 rand) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 rand) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 rand) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 rand) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 rand) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (taylor 0 rand) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (taylor 0 rand) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (taylor 0 rand) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 rand) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<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 (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<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 (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<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 (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 rand) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 rand) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 rand) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (+ a (* 1/3 (* (sqrt a) rand))) (taylor 0 rand) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor 0 rand) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor 0 rand) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor 0 rand) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor 0 rand) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 rand) (#s(alt #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.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 #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.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 #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.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 #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor 0 rand) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor 0 rand) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor 0 rand) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor 0 rand) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 0 rand) (#s(alt (*.f64 rand #s(literal 1/3 binary64)) (patch (*.f64 rand #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- a 1/3) (taylor 0 rand) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 rand) (#s(alt (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor 0 rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor 0 rand) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor 0 rand) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor 0 rand) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor 0 rand) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor 0 rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor 0 rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor 0 rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor 0 rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* rand (sqrt (- a 1/3)))) (taylor inf rand) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (* 1/3 (/ 1 rand)) (* 1/3 (sqrt (- a 1/3))))) (taylor inf rand) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (* 1/3 (/ 1 rand)) (* 1/3 (sqrt (- a 1/3))))) (taylor inf rand) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (- (* 1/3 (/ 1 rand)) (* 1/3 (sqrt (- a 1/3))))) (taylor inf rand) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor inf rand) (#s(alt (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #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 (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #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 (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #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 (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor inf rand) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor inf rand) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor inf rand) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor inf rand) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor inf rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor inf rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor inf rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor inf rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))) (taylor inf rand) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor inf rand) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) (taylor inf rand) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) (taylor inf rand) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) (taylor inf rand) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf rand) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (taylor inf rand) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (taylor inf rand) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (taylor inf rand) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))) (taylor inf rand) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<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 (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<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 (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<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 (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor inf rand) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) (taylor inf rand) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) (taylor inf rand) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) (taylor inf rand) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor inf rand) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor inf rand) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor inf rand) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor inf rand) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor inf rand) (#s(alt #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.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 #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.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 #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.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 #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor inf rand) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor inf rand) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor inf rand) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor inf rand) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))) (taylor inf rand) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor inf rand) (#s(alt (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor inf rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor inf rand) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor inf rand) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor inf rand) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor inf rand) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor inf rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor inf rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor inf rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor inf rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* rand (sqrt (- a 1/3)))) (taylor -inf rand) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand)))) (taylor -inf rand) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand)))) (taylor -inf rand) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* rand (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand)))) (taylor -inf rand) (#s(alt (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) (patch (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor -inf rand) (#s(alt (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #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 (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #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 (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #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 (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) (patch (-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor -inf rand) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor -inf rand) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor -inf rand) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor -inf rand) (#s(alt (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor -inf rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor -inf rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor -inf rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* rand (sqrt (- a 1/3))) (taylor -inf rand) (#s(alt #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (patch #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #<representation binary64>) () ())) ())
#s(alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))) (taylor -inf rand) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 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 (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor -inf rand) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a))))) (taylor -inf rand) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a))))) (taylor -inf rand) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a))))) (taylor -inf rand) (#s(alt (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf rand) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (taylor -inf rand) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (taylor -inf rand) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (taylor -inf rand) (#s(alt #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))) (taylor -inf rand) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<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 (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<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 (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<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 (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor -inf rand) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a))))) (taylor -inf rand) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a))))) (taylor -inf rand) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a))))) (taylor -inf rand) (#s(alt #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) (patch #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor -inf rand) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor -inf rand) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor -inf rand) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor -inf rand) (#s(alt (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (patch (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor -inf rand) (#s(alt #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.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 #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.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 #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.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 #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (patch #s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor -inf rand) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor -inf rand) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor -inf rand) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* rand (sqrt (- a 1/3)))) (taylor -inf rand) (#s(alt (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (patch (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))) (taylor -inf rand) (#s(alt #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) (patch #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt a) rand)) (taylor -inf rand) (#s(alt (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #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 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) (patch (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 a)) rand)) (taylor -inf rand) (#s(alt (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor -inf rand) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor -inf rand) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor -inf rand) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 a)) rand) (taylor -inf rand) (#s(alt (/.f64 rand (sqrt.f64 a)) (patch (/.f64 rand (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor -inf rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor -inf rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor -inf rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
#s(alt (* (sqrt a) rand) (taylor -inf rand) (#s(alt (*.f64 (sqrt.f64 a) rand) (patch (*.f64 (sqrt.f64 a) rand) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
a
@-inf
((- 1/3 (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3)) (- a (- 1/3 (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3))) (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (* (* (sqrt a) 1/3) rand) (* (sqrt a) 1/3) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (* rand 1/3) (sqrt (- a 1/3))) (* rand 1/3) (sqrt (- a 1/3)) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (+ (* a (* (/ rand (sqrt a)) 1/3)) a) (* (/ rand (sqrt a)) 1/3) (/ rand (sqrt a)) (* (sqrt a) rand))
4.0ms
a
@inf
((- 1/3 (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3)) (- a (- 1/3 (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3))) (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (* (* (sqrt a) 1/3) rand) (* (sqrt a) 1/3) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (* rand 1/3) (sqrt (- a 1/3))) (* rand 1/3) (sqrt (- a 1/3)) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (+ (* a (* (/ rand (sqrt a)) 1/3)) a) (* (/ rand (sqrt a)) 1/3) (/ rand (sqrt a)) (* (sqrt a) rand))
3.0ms
rand
@-inf
((- 1/3 (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3)) (- a (- 1/3 (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3))) (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (* (* (sqrt a) 1/3) rand) (* (sqrt a) 1/3) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (* rand 1/3) (sqrt (- a 1/3))) (* rand 1/3) (sqrt (- a 1/3)) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (+ (* a (* (/ rand (sqrt a)) 1/3)) a) (* (/ rand (sqrt a)) 1/3) (/ rand (sqrt a)) (* (sqrt a) rand))
2.0ms
rand
@0
((- 1/3 (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3)) (- a (- 1/3 (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3))) (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (* (* (sqrt a) 1/3) rand) (* (sqrt a) 1/3) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (* rand 1/3) (sqrt (- a 1/3))) (* rand 1/3) (sqrt (- a 1/3)) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (+ (* a (* (/ rand (sqrt a)) 1/3)) a) (* (/ rand (sqrt a)) 1/3) (/ rand (sqrt a)) (* (sqrt a) rand))
2.0ms
rand
@inf
((- 1/3 (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3)) (- a (- 1/3 (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3))) (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (* (* (sqrt a) 1/3) rand) (* (sqrt a) 1/3) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (* rand 1/3) (sqrt (- a 1/3))) (* rand 1/3) (sqrt (- a 1/3)) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (+ (* a (* (/ rand (sqrt a)) 1/3)) a) (* (/ rand (sqrt a)) 1/3) (/ rand (sqrt a)) (* (sqrt a) rand))

simplify206.0ms (2.1%)

Memory
9.6MiB live, 251.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04945962
115765569
255455437
081515003
Stop Event
1×iter limit
1×node limit
Counts
444 → 441
Calls
Call 1
Inputs
(- 1/3 (* 1/3 (* rand (sqrt -1/3))))
(- (+ 1/3 (* -1/6 (/ (* a rand) (sqrt -1/3)))) (* 1/3 (* rand (sqrt -1/3))))
(- (+ 1/3 (* a (- (* 1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3)))))) (* 1/3 (* rand (sqrt -1/3))))
(- (+ 1/3 (* a (- (* a (- (* -1/48 (/ (* a rand) (pow (sqrt -1/3) 5))) (* -1/24 (/ rand (pow (sqrt -1/3) 3))))) (* 1/6 (/ rand (sqrt -1/3)))))) (* 1/3 (* rand (sqrt -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)
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(* 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)))
(- (* -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)
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(- (* -1/3 (* 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)
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(- (* 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)
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(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))))))
(- (* -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)
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* -1/3 (* (sqrt a) rand))
(* a (- (* 1/3 (/ 1 a)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (/ 1 a))) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (/ 1 a))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 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))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* (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)))))
(* 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))))
(* 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 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(* 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))))
(* 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))))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 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))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(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))))))))
(* 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))))
(* 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))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* -1/3 (* (sqrt a) rand))
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* -1 (/ (+ 1/3 (* -1/18 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))
(* -1 (* a (- (* -1 (/ (+ 1/3 (* -1 (/ (- (* -1/216 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt a) rand))) a))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand))))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)))))))
(* (sqrt a) rand)
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand)))))))
(* -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 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(* -1 (* 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 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(* -1 (* (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 (* 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)))
(* -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)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 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))))
1/3
(+ 1/3 (* -1/3 (* rand (sqrt (- a 1/3)))))
(+ 1/3 (* -1/3 (* rand (sqrt (- a 1/3)))))
(+ 1/3 (* -1/3 (* rand (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))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 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)))
(- 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)
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
1
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(- 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)
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(- 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))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(- 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)
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* -1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (* 1/3 (/ 1 rand)) (* 1/3 (sqrt (- a 1/3)))))
(* rand (- (* 1/3 (/ 1 rand)) (* 1/3 (sqrt (- a 1/3)))))
(* rand (- (* 1/3 (/ 1 rand)) (* 1/3 (sqrt (- a 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))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 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 (- 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))))
(* 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 (/ 1 a)) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* (* 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))))
(* 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))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 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))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* (* 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))))
(* 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 (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* -1/3 (* rand (sqrt (- a 1/3))))
(* rand (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand))))
(* rand (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand))))
(* rand (+ (* -1/3 (sqrt (- a 1/3))) (* 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 (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* (* 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))
(* -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 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* (* 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))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) 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 (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 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))
(* -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))
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
Outputs
(- 1/3 (* 1/3 (* rand (sqrt -1/3))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal -1/3 binary64) #s(literal 1/3 binary64))
(- (+ 1/3 (* -1/6 (/ (* a rand) (sqrt -1/3)))) (* 1/3 (* rand (sqrt -1/3))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal -1/3 binary64) #s(literal 1/3 binary64)))
(- (+ 1/3 (* a (- (* 1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3)))))) (* 1/3 (* rand (sqrt -1/3))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/6 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal -1/3 binary64) #s(literal 1/3 binary64)))
(- (+ 1/3 (* a (- (* a (- (* -1/48 (/ (* a rand) (pow (sqrt -1/3) 5))) (* -1/24 (/ rand (pow (sqrt -1/3) 3))))) (* 1/6 (/ rand (sqrt -1/3)))))) (* 1/3 (* rand (sqrt -1/3))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/6 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal -1/3 binary64) #s(literal 1/3 binary64)))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #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 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64) #s(literal -1/3 binary64)))
(* 1/3 (* rand (sqrt -1/3)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64)) a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
(* rand (sqrt -1/3))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
(fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
(- (* -1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand #s(literal -1/3 binary64))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)
(fma.f64 (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand #s(literal -1/3 binary64)))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ 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 (+.f64 (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 (*.f64 #s(literal 3/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) a)) (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand #s(literal -1/3 binary64)))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ 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 (+.f64 (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 (fma.f64 (*.f64 #s(literal 9/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal 15/16 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) a)) a)) (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a) a)
(- (* -1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand #s(literal -1/3 binary64))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)
(fma.f64 (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand #s(literal -1/3 binary64)))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ 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 (+.f64 (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 (*.f64 #s(literal 3/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) a)) (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand #s(literal -1/3 binary64)))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ 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 (+.f64 (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 (fma.f64 (*.f64 #s(literal 9/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal 15/16 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) a)) a)) (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(* 1/3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(* 1/3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(* 1/3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #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 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64) #s(literal -1/3 binary64)))
(* 1/3 (* rand (sqrt -1/3)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64)) a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) a (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (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 (fma.f64 (fma.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64)))
(- (* -1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand #s(literal -1/3 binary64))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)
(fma.f64 (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand #s(literal -1/3 binary64)))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ 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 (+.f64 (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 (*.f64 #s(literal 3/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) a)) (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand #s(literal -1/3 binary64)))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ 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 (+.f64 (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 (fma.f64 (*.f64 #s(literal 9/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal 15/16 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) a)) a)) (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* -1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal -1/3 binary64)) rand)
(* a (- (* 1/3 (/ 1 a)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 a rand)) #s(literal -1/3 binary64) #s(literal 1/3 binary64))
(* a (- (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (/ 1 a))) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) a)
(* a (- (+ (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (/ 1 a))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64))) (fma.f64 (*.f64 #s(literal 1/216 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 #s(literal 1/3 binary64) a))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 rand (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (*.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))) a)
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 (*.f64 rand (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) a)
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 (*.f64 rand (+.f64 (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/1296 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) a)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(*.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(*.f64 (*.f64 rand (fma.f64 #s(literal -1/72 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 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) a)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))
(*.f64 (*.f64 rand (+.f64 (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 rand (fma.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* 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))))
(fma.f64 (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* 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))))
(fma.f64 (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 rand (fma.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* 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))))
(fma.f64 (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* 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))))
(fma.f64 (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(* 1/3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(* 1/3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(* 1/3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 rand (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (*.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))) a)
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 (*.f64 rand (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) a)
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 (*.f64 rand (+.f64 (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/1296 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) a)
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(*.f64 (fma.f64 #s(literal -1/72 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 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) 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 (+.f64 (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 rand (fma.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* 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))))
(fma.f64 (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* 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))))
(fma.f64 (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* -1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal -1/3 binary64)) rand)
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 a rand)) #s(literal -1/3 binary64) #s(literal 1/3 binary64))
(* -1 (* a (- (* -1 (/ (+ 1/3 (* -1/18 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) a)) a)
(* -1 (* a (- (* -1 (/ (+ 1/3 (* -1 (/ (- (* -1/216 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt a) rand))) a))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 rand (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)))) a)) a)) a)
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(fma.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) a)
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 rand (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)))) a) #s(literal 1/3 binary64)) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) a)
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))
(*.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))) a)
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand))))))
(*.f64 (neg.f64 a) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/216 binary64))))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)))))))
(*.f64 (neg.f64 a) (*.f64 rand (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/1296 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/216 binary64))))))
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)))))
(*.f64 (*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) a)
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand))))))
(*.f64 (neg.f64 a) (*.f64 rand (fma.f64 #s(literal 1/72 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 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand)))))))
(*.f64 (neg.f64 a) (*.f64 rand (fma.f64 #s(literal 1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (neg.f64 a) (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/9 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) 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 (neg.f64 a) (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) rand) #s(literal -1/3 binary64)) a)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (neg.f64 a) (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 a) rand) a) #s(literal -1/18 binary64) (fma.f64 (*.f64 #s(literal -1/9 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64))) a)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (neg.f64 a) (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/9 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) 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 (neg.f64 a) (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) rand) #s(literal -1/3 binary64)) a)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (neg.f64 a) (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 a) rand) a) #s(literal -1/18 binary64) (fma.f64 (*.f64 #s(literal -1/9 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64))) a)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(fma.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) a)
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 rand (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)))) a) #s(literal 1/3 binary64)) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) a)
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(*.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))) a)
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(*.f64 (neg.f64 a) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/216 binary64))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(*.f64 (neg.f64 a) (*.f64 rand (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/1296 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/216 binary64))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 1/72 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 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (neg.f64 a) (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/9 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) 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 (neg.f64 a) (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) rand) #s(literal -1/3 binary64)) a)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (neg.f64 a) (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 a) rand) a) #s(literal -1/18 binary64) (fma.f64 (*.f64 #s(literal -1/9 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64))) a)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/3 (* rand (sqrt (- a 1/3)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(+ 1/3 (* -1/3 (* rand (sqrt (- a 1/3)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(+ 1/3 (* -1/3 (* rand (sqrt (- a 1/3)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (-.f64 a #s(literal 1/3 binary64)))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (-.f64 a #s(literal 1/3 binary64)))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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))
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (-.f64 a #s(literal 1/3 binary64)))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (-.f64 a #s(literal 1/3 binary64)))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* -1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (- (* 1/3 (/ 1 rand)) (* 1/3 (sqrt (- a 1/3)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(* rand (- (* 1/3 (/ 1 rand)) (* 1/3 (sqrt (- a 1/3)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(* rand (- (* 1/3 (/ 1 rand)) (* 1/3 (sqrt (- a 1/3)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* -1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(* rand (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(* rand (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 a rand)) rand #s(literal -1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)

rewrite184.0ms (1.8%)

Memory
1.2MiB live, 226.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047279
064269
1247267
21772247
09128231
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 338
Calls
Call 1
Inputs
(-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))
(-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))))
(*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))
#s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))
(*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a)
#s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
#s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(*.f64 rand #s(literal 1/3 binary64))
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a))
(fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a)
(*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))
(/.f64 rand (sqrt.f64 a))
(*.f64 (sqrt.f64 a) rand)
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval133.0ms (1.3%)

Memory
-46.5MiB live, 195.2MiB allocated
Compiler

Compiled 14 239 to 1 646 computations (88.4% saved)

prune47.0ms (0.5%)

Memory
2.9MiB live, 81.1MiB allocated
Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New7718779
Fresh246
Picked235
Done022
Total77517792
Accuracy
100.0%
Counts
792 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.2%
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand #s(approx (- a 1/3) #s(literal -1/3 binary64)))
40.1%
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
97.8%
(-.f64 a #s(approx (- 1/3 (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3)) (*.f64 (*.f64 (sqrt.f64 a) #s(literal -1/3 binary64)) rand)))
97.8%
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) a))
97.7%
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a))
35.4%
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand)))
✓59.8%
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))
39.3%
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (+ (* a (* (/ rand (sqrt a)) 1/3)) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
39.3%
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 a #s(literal 1/3 binary64)))))
39.3%
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) a) #s(literal 1/3 binary64))))
✓39.3%
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
39.3%
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
40.6%
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
✓40.6%
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
13.1%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(approx (- a -1/3) #s(literal 1/3 binary64))))
✓60.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
✓1.5%
#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 573 to 279 computations (51.3% saved)

regimes51.0ms (0.5%)

Memory
21.7MiB live, 104.6MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
#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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(approx (- a -1/3) #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (+ (* a (* (/ rand (sqrt a)) 1/3)) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #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 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
(-.f64 a #s(approx (- 1/3 (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3)) (*.f64 (*.f64 (sqrt.f64 a) #s(literal -1/3 binary64)) rand)))
(fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
(-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))
(-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) a) #s(literal 1/3 binary64))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a))
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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))) (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
#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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #s(approx (- a 1/3) #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 (-.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)))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.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 rand (-.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal -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 (/.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 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (-.f64 a #s(literal 1/3 binary64)))
Calls

4 calls:

13.0ms
rand
13.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
12.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
11.0ms
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 27 to 23 computations (14.8% saved)

regimes44.0ms (0.4%)

Memory
-2.0MiB live, 75.8MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
#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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(approx (- a -1/3) #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (+ (* a (* (/ rand (sqrt a)) 1/3)) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #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 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
(-.f64 a #s(approx (- 1/3 (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3)) (*.f64 (*.f64 (sqrt.f64 a) #s(literal -1/3 binary64)) rand)))
(fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
(-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))
(-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) a) #s(literal 1/3 binary64))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a))
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #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))) (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
#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))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) #s(approx (- a 1/3) #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)))
Outputs
(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:

11.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
11.0ms
(*.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
10.0ms
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 27 to 23 computations (14.8% saved)

regimes50.0ms (0.5%)

Memory
2.3MiB live, 40.4MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(approx (- a -1/3) #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (+ (* a (* (/ rand (sqrt a)) 1/3)) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #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 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
(-.f64 a #s(approx (- 1/3 (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3)) (*.f64 (*.f64 (sqrt.f64 a) #s(literal -1/3 binary64)) rand)))
(fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
(-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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))))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (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))))
Calls

4 calls:

28.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
7.0ms
rand
7.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
7.0ms
a
Results
AccuracySegmentsBranch
99.8%1a
99.8%1rand
99.8%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
99.8%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes41.0ms (0.4%)

Memory
-14.1MiB live, 27.0MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
#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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(approx (- a -1/3) #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (+ (* a (* (/ rand (sqrt a)) 1/3)) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #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 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
(-.f64 a #s(approx (- 1/3 (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3)) (*.f64 (*.f64 (sqrt.f64 a) #s(literal -1/3 binary64)) rand)))
(fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
(-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64))))
Outputs
(fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64)))
Calls

4 calls:

19.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
7.0ms
a
7.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
7.0ms
rand
Results
AccuracySegmentsBranch
98.6%1a
98.6%1rand
98.6%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)))
98.6%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes91.0ms (0.9%)

Memory
-11.9MiB live, 26.8MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(approx (- a -1/3) #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (+ (* a (* (/ rand (sqrt a)) 1/3)) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (fma.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #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 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
(-.f64 a #s(approx (- 1/3 (* (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) 1/3)) (*.f64 (*.f64 (sqrt.f64 a) #s(literal -1/3 binary64)) rand)))
Outputs
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
Calls

4 calls:

72.0ms
a
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
Results
AccuracySegmentsBranch
97.8%1a
97.8%1rand
97.8%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)))
97.8%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes16.0ms (0.2%)

Memory
26.2MiB live, 26.3MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(approx (- a -1/3) #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (+ (* a (* (/ rand (sqrt a)) 1/3)) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
Outputs
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (+ (* a (* (/ rand (sqrt a)) 1/3)) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
Calls

4 calls:

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
4.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
4.0ms
a
Results
AccuracySegmentsBranch
64.8%2a
93.0%3rand
84.1%3(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
64.8%2(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes84.0ms (0.8%)

Memory
-29.6MiB live, 6.9MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(approx (- a -1/3) #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
Outputs
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
Calls

1 calls:

3.0ms
rand
Results
AccuracySegmentsBranch
93.0%3rand
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(approx (- a -1/3) #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
Outputs
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
#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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
Calls

1 calls:

3.0ms
rand
Results
AccuracySegmentsBranch
92.9%3rand
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(approx (- a -1/3) #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(approx (- a -1/3) #s(literal 1/3 binary64))))
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
67.7%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)))
67.9%2rand
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes9.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
Calls

4 calls:

2.0ms
a
2.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
2.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
2.0ms
rand
Results
AccuracySegmentsBranch
60.5%1a
60.5%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
60.5%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)))
60.5%1rand
Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes89.0ms (0.9%)

Memory
-23.4MiB live, 13.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

1.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
1.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms
a
1.0ms
rand
Results
AccuracySegmentsBranch
1.5%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)))
1.5%1a
1.5%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.5%1rand
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch27.0ms (0.3%)

Memory
26.4MiB live, 26.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
2.379631424317227e+72
6.388461650463077e+72
14.0ms
-2.1173482415154251e+24
-1.2178846263540544e+21
Samples
15.0ms208×0valid
Compiler

Compiled 179 to 213 computations (-19% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 3.0ms (29.2% of total)
ival-mult: 3.0ms (29.2% of total)
ival-sub: 1.0ms (9.7% of total)
ival-add: 1.0ms (9.7% of total)
ival-sqrt: 1.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.379631424317227e+72
6.388461650463077e+72
1.0ms
-2.1173482415154251e+24
-1.2178846263540544e+21
Compiler

Compiled 179 to 213 computations (-19% saved)

bsearch2.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.379631424317227e+72
6.388461650463077e+72
1.0ms
-2.1173482415154251e+24
-1.2178846263540544e+21
Compiler

Compiled 179 to 213 computations (-19% saved)

bsearch85.0ms (0.9%)

Memory
-32.5MiB live, 12.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
83.0ms
2.308713760853867e+130
1.004927035643674e+133
Samples
77.0ms128×0valid
Compiler

Compiled 119 to 138 computations (-16% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 70.0ms (94.1% of total)
ival-div: 2.0ms (2.7% of total)
ival-sub: 1.0ms (1.3% of total)
ival-add: 1.0ms (1.3% of total)
ival-sqrt: 1.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify55.0ms (0.6%)

Memory
3.2MiB live, 40.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086501
198501
2102501
3104501
4105501
Stop Event
1×saturated
Calls
Call 1
Inputs
(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 (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 #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 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
(if (<=.f64 rand #s(literal -2100000000000000125829120 binary64)) #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (if (<=.f64 rand #s(literal 3000000000000000027564862077217486942040091862301227097830979315670450176 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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (+ (* a (* (/ rand (sqrt a)) 1/3)) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))))
(if (<=.f64 rand #s(literal -2100000000000000125829120 binary64)) #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (if (<=.f64 rand #s(literal 3000000000000000027564862077217486942040091862301227097830979315670450176 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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))))
(if (<=.f64 rand #s(literal -2100000000000000125829120 binary64)) #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)))) (if (<=.f64 rand #s(literal 3000000000000000027564862077217486942040091862301227097830979315670450176 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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))))
(if (<=.f64 rand #s(literal 9800000000000000319910624985643094131830783771321935710273392232713803032985127838925727176639097748330471131926256495093827829235712 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 (fma.f64 a a #s(literal -1/9 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 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)))
Outputs
(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 (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 #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 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 a) rand)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
(if (<=.f64 rand #s(literal -2100000000000000125829120 binary64)) #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (if (<=.f64 rand #s(literal 3000000000000000027564862077217486942040091862301227097830979315670450176 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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (+ (* a (* (/ rand (sqrt a)) 1/3)) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))))
(if (<=.f64 rand #s(literal -2100000000000000125829120 binary64)) #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (if (<=.f64 rand #s(literal 3000000000000000027564862077217486942040091862301227097830979315670450176 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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))))
(if (<=.f64 rand #s(literal -2100000000000000125829120 binary64)) #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)))) (if (<=.f64 rand #s(literal 3000000000000000027564862077217486942040091862301227097830979315670450176 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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))))
(if (<=.f64 rand #s(literal -2100000000000000125829120 binary64)) #s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))))) (if (<=.f64 rand #s(literal 3000000000000000027564862077217486942040091862301227097830979315670450176 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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))))))
(if (<=.f64 rand #s(literal 9800000000000000319910624985643094131830783771321935710273392232713803032985127838925727176639097748330471131926256495093827829235712 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 (fma.f64 a a #s(literal -1/9 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 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)))

soundness1.8s (18%)

Memory
49.4MiB live, 1 145.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047279
064269
1247267
21772247
09128231
05244703
116664154
259323979
081623678
01346
02246
17840
254640
3649340
0817336
04945962
115765569
255455437
081515003
032187
052189
1218177
21892161
08192161
046183
067178
1267164
22018156
08966150
07566313
124065476
081165093
03331781
110131561
233751491
379501491
080181388
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter 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
1×iter limit
Compiler

Compiled 452 to 290 computations (35.8% saved)

preprocess63.0ms (0.6%)

Memory
3.1MiB live, 122.4MiB allocated
Compiler

Compiled 366 to 136 computations (62.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...