Octave 3.8, oct_fill_randg

Time bar (total: 12.0s)

analyze29.0ms (0.2%)

Memory
-13.5MiB live, 26.3MiB 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)

sample1.3s (11.2%)

Memory
4.9MiB live, 1 833.8MiB allocated
Samples
1.0s8 256×0valid
31.0ms462×0invalid
Precisions
Click to see histograms. Total time spent on operations: 713.0ms
ival-mult: 219.0ms (30.7% of total)
ival-div: 186.0ms (26.1% of total)
ival-sqrt: 124.0ms (17.4% of total)
ival-sub: 122.0ms (17.1% of total)
ival-add: 41.0ms (5.8% of total)
exact: 11.0ms (1.5% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

preprocess244.0ms (2%)

Memory
-2.8MiB live, 188.9MiB allocated
Algorithm
2×egg-herbie
Rules
2 560×accelerator-lowering-fma.f32
2 560×accelerator-lowering-fma.f64
1 346×unsub-neg
1 036×div-sub
864×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035104
110490
236884
3129984
4361984
5595784
6716684
7773484
01416
13114
27814
317614
437314
559714
683314
7141014
8246514
9291114
10306814
11322014
12330514
13331114
0331113
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
Outputs
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal 0 binary64))
Call 2
Inputs
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(* (- (neg a) (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- (neg a) (/ 1 3))))) rand)))
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand))))
(neg (* (- (neg a) (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- (neg a) (/ 1 3))))) rand))))
(neg (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand)))))
(* (- rand (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- rand (/ 1 3))))) a)))
Outputs
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(* (+ a -1/3) (+ 1 (/ rand (sqrt (+ -3 (* a 9))))))
(* (- (neg a) (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- (neg a) (/ 1 3))))) rand)))
(* (- -1/3 a) (+ 1 (/ rand (sqrt (+ -3 (* a -9))))))
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand))))
(* (+ a -1/3) (- 1 (/ rand (sqrt (+ -3 (* a 9))))))
(neg (* (- (neg a) (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- (neg a) (/ 1 3))))) rand))))
(* (- -1/3 a) (- -1 (/ rand (sqrt (+ -3 (* a -9))))))
(neg (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand)))))
(* (+ a -1/3) (+ (/ rand (sqrt (+ -3 (* a 9)))) -1))
(* (- rand (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- rand (/ 1 3))))) a)))
(* (+ rand -1/3) (+ 1 (/ a (sqrt (* 9 (+ rand -1/3))))))

explain176.0ms (1.5%)

Memory
36.6MiB live, 348.5MiB 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
44.0ms476×0valid
4.0ms16×2valid
3.0ms18×1valid
1.0ms2×5exit
Compiler

Compiled 216 to 56 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 10.0ms (32.1% of total)
ival-mult: 9.0ms (28.9% of total)
ival-sqrt: 4.0ms (12.8% of total)
ival-sub: 3.0ms (9.6% of total)
ival-add: 3.0ms (9.6% of total)
adjust: 1.0ms (3.2% of total)
exact: 1.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Compiler

Compiled 22 to 13 computations (40.9% saved)

simplify168.0ms (1.4%)

Memory
1.4MiB live, 121.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize43.0ms (0.4%)

Memory
-27.5MiB live, 88.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
Samples
21.0ms238×0valid
2.0ms8×2valid
1.0ms9×1valid
0.0ms1×5exit
Compiler

Compiled 86 to 15 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (34.7% of total)
ival-div: 4.0ms (27.8% of total)
ival-sqrt: 2.0ms (13.9% of total)
ival-sub: 1.0ms (6.9% of total)
ival-add: 1.0ms (6.9% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
28.7MiB live, 28.7MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (/ 1 3)>
#<alt (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)>
#<alt (* 9 (- a (/ 1 3)))>
#<alt (- a (/ 1 3))>
#<alt (/ 1 (sqrt (* 9 (- a (/ 1 3)))))>
#<alt (sqrt (* 9 (- a (/ 1 3))))>
Outputs
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))>
#<alt (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))>
#<alt (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt -3>
#<alt (- (* 9 a) 3)>
#<alt (- (* 9 a) 3)>
#<alt (- (* 9 a) 3)>
#<alt (* 9 a)>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* 9 a)>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* 1/3 (sqrt -3))>
#<alt (+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))>
#<alt (+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))>
#<alt (+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))>
#<alt (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))>
#<alt (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))>
#<alt (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))>
#<alt (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))>
#<alt (* 3 (sqrt -1/3))>
#<alt (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))>
#<alt (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))>
#<alt (* 3 (sqrt a))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))>
#<alt (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))>
Calls

18 calls:

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

rewrite649.0ms (5.4%)

Memory
-120.2MiB live, 751.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 006×/-lowering-/.f32
5 006×/-lowering-/.f64
3 828×*-lowering-*.f32
3 828×*-lowering-*.f64
2 518×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

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

simplify539.0ms (4.5%)

Memory
-8.6MiB live, 826.9MiB allocated
Algorithm
1×egg-herbie
Rules
14 984×accelerator-lowering-fma.f32
14 984×accelerator-lowering-fma.f64
7 410×*-lowering-*.f32
7 410×*-lowering-*.f64
3 292×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval153.0ms (1.3%)

Memory
-11.1MiB live, 229.5MiB allocated
Compiler

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

prune160.0ms (1.3%)

Memory
4.5MiB live, 281.1MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New86810878
Fresh000
Picked101
Done000
Total86910879
Accuracy
100.0%
Counts
879 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
99.9%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
88.2%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))))
▶99.8%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))))
87.8%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) a) (*.f64 #s(literal 9 binary64) a)) #s(literal 9 binary64))) (sqrt.f64 (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64))))) rand)))
▶0.0%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand)))
▶98.6%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
▶99.9%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))))
40.6%
(*.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
▶62.4%
(*.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Compiler

Compiled 442 to 318 computations (28.1% saved)

simplify306.0ms (2.6%)

Memory
34.4MiB live, 555.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓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-diff320
(*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
✓cost-diff0
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓cost-diff0
(/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓cost-diff0
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
✓cost-diff192
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓cost-diff0
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand)
✓cost-diff0
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓cost-diff0
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
✓cost-diff128
(neg.f64 (/.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))
✓cost-diff192
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
Rules
10 506×accelerator-lowering-fma.f32
10 506×accelerator-lowering-fma.f64
3 810×*-lowering-*.f32
3 810×*-lowering-*.f64
1 294×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044313
1115301
2364301
31359301
43438301
55744301
08044284
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (- a (/ 1 3)) (+ 1 (neg (/ rand (* (sqrt (+ a -1/3)) -3)))))
(- a (/ 1 3))
a
(/ 1 3)
1
3
(+ 1 (neg (/ rand (* (sqrt (+ a -1/3)) -3))))
(neg (/ rand (* (sqrt (+ a -1/3)) -3)))
(/ rand (* (sqrt (+ a -1/3)) -3))
rand
(* (sqrt (+ a -1/3)) -3)
(sqrt (+ a -1/3))
(+ a -1/3)
-1/3
-3
(* (- a (/ 1 3)) (+ 1 (* (* 1/3 (sqrt -3)) rand)))
(- a (/ 1 3))
a
(/ 1 3)
1
3
(+ 1 (* (* 1/3 (sqrt -3)) rand))
(* (* 1/3 (sqrt -3)) rand)
(* 1/3 (sqrt -3))
1/3
(sqrt -3)
-3
rand
(* (- a (/ 1 3)) (+ 1 (* (/ rand (sqrt (+ a -1/3))) 1/3)))
(- a (/ 1 3))
a
(/ 1 3)
1
3
(+ 1 (* (/ rand (sqrt (+ a -1/3))) 1/3))
(* (/ rand (sqrt (+ a -1/3))) 1/3)
(/ rand (sqrt (+ a -1/3)))
rand
(sqrt (+ a -1/3))
(+ a -1/3)
-1/3
1/3
(* (- a (/ 1 3)) (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
(- a (/ 1 3))
a
(/ 1 3)
1
3
(+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand)))
(* (sqrt (/ 1 a)) (* 1/3 rand))
(sqrt (/ 1 a))
(/ 1 a)
(* 1/3 rand)
1/3
rand
(* (* (+ (* a a) -1/9) (/ 1 (+ 1/3 a))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(* (+ (* a a) -1/9) (/ 1 (+ 1/3 a)))
(+ (* a a) -1/9)
a
-1/9
(/ 1 (+ 1/3 a))
1
(+ 1/3 a)
1/3
(+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
(sqrt (* 9 (- a (/ 1 3))))
(* 9 (- a (/ 1 3)))
9
(- a (/ 1 3))
(/ 1 3)
3
rand
Outputs
(* (- a (/ 1 3)) (+ 1 (neg (/ rand (* (sqrt (+ a -1/3)) -3)))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(- a (/ 1 3))
(+.f64 a #s(literal -1/3 binary64))
a
(/ 1 3)
#s(literal 1/3 binary64)
1
#s(literal 1 binary64)
3
#s(literal 3 binary64)
(+ 1 (neg (/ rand (* (sqrt (+ a -1/3)) -3))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(neg (/ rand (* (sqrt (+ a -1/3)) -3)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) rand #s(literal 0 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/ rand (* (sqrt (+ a -1/3)) -3))
(/.f64 (fma.f64 rand #s(literal -1/3 binary64) #s(literal 0 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
rand
(* (sqrt (+ a -1/3)) -3)
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64) #s(literal 0 binary64))
(sqrt (+ a -1/3))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
-3
#s(literal -3 binary64)
(* (- a (/ 1 3)) (+ 1 (* (* 1/3 (sqrt -3)) rand)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(- a (/ 1 3))
(+.f64 a #s(literal -1/3 binary64))
a
(/ 1 3)
#s(literal 1/3 binary64)
1
#s(literal 1 binary64)
3
#s(literal 3 binary64)
(+ 1 (* (* 1/3 (sqrt -3)) rand))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1 binary64))
(* (* 1/3 (sqrt -3)) rand)
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))
(* 1/3 (sqrt -3))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))
1/3
#s(literal 1/3 binary64)
(sqrt -3)
(sqrt.f64 #s(literal -3 binary64))
-3
#s(literal -3 binary64)
rand
(* (- a (/ 1 3)) (+ 1 (* (/ rand (sqrt (+ a -1/3))) 1/3)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(- a (/ 1 3))
(+.f64 a #s(literal -1/3 binary64))
a
(/ 1 3)
#s(literal 1/3 binary64)
1
#s(literal 1 binary64)
3
#s(literal 3 binary64)
(+ 1 (* (/ rand (sqrt (+ a -1/3))) 1/3))
(fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(* (/ rand (sqrt (+ a -1/3))) 1/3)
(/.f64 (fma.f64 #s(literal 1/3 binary64) rand #s(literal 0 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/ rand (sqrt (+ a -1/3)))
(/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
rand
(sqrt (+ a -1/3))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
1/3
#s(literal 1/3 binary64)
(* (- a (/ 1 3)) (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal 1/3 binary64) rand #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(- a (/ 1 3))
(+.f64 a #s(literal -1/3 binary64))
a
(/ 1 3)
#s(literal 1/3 binary64)
1
#s(literal 1 binary64)
3
#s(literal 3 binary64)
(+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal 1/3 binary64) rand #s(literal 0 binary64)) #s(literal 1 binary64))
(* (sqrt (/ 1 a)) (* 1/3 rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal 1/3 binary64) rand #s(literal 0 binary64)))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* 1/3 rand)
(fma.f64 #s(literal 1/3 binary64) rand #s(literal 0 binary64))
1/3
#s(literal 1/3 binary64)
rand
(* (* (+ (* a a) -1/9) (/ 1 (+ 1/3 a))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal 1/3 binary64))))
(* (+ (* a a) -1/9) (/ 1 (+ 1/3 a)))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(+ (* a a) -1/9)
(fma.f64 a a #s(literal -1/9 binary64))
a
-1/9
#s(literal -1/9 binary64)
(/ 1 (+ 1/3 a))
(/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64)))
1
#s(literal 1 binary64)
(+ 1/3 a)
(+.f64 a #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
(/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(sqrt (* 9 (- a (/ 1 3))))
(sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
(* 9 (- a (/ 1 3)))
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
9
#s(literal 9 binary64)
(- a (/ 1 3))
(+.f64 a #s(literal -1/3 binary64))
(/ 1 3)
#s(literal 1/3 binary64)
3
#s(literal 3 binary64)
rand

localize270.0ms (2.3%)

Memory
-3.2MiB live, 385.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.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)
✓accuracy100.0%
(*.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
✓accuracy100.0%
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
✓accuracy100.0%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
✓accuracy100.0%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
✓accuracy100.0%
(*.f64 #s(literal 1/3 binary64) rand)
✓accuracy100.0%
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64)))
✓accuracy100.0%
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))
✓accuracy100.0%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy100.0%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand)))
✓accuracy100.0%
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand)
✓accuracy100.0%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal -3 binary64))
✓accuracy100.0%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))))
✓accuracy100.0%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy100.0%
(neg.f64 (/.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))
Samples
123.0ms256×0invalid
Compiler

Compiled 353 to 46 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 19.0ms (32% of total)
ival-div: 10.0ms (16.8% of total)
const: 10.0ms (16.8% of total)
ival-add: 9.0ms (15.1% of total)
ival-sqrt: 7.0ms (11.8% of total)
ival-neg: 2.0ms (3.4% of total)
ival-sub: 1.0ms (1.7% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series112.0ms (0.9%)

Memory
-33.9MiB live, 63.4MiB allocated
Counts
26 → 432
Calls
Call 1
Inputs
#<alt (/ 1 3)>
#<alt (+ 1 (neg (/ rand (* (sqrt (+ a -1/3)) -3))))>
#<alt (neg (/ rand (* (sqrt (+ a -1/3)) -3)))>
#<alt (- a (/ 1 3))>
#<alt (+ 1 (* (* 1/3 (sqrt -3)) rand))>
#<alt (* (* 1/3 (sqrt -3)) rand)>
#<alt (+ 1 (* (/ rand (sqrt (+ a -1/3))) 1/3))>
#<alt (/ rand (sqrt (+ a -1/3)))>
#<alt (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand)))>
#<alt (* (sqrt (/ 1 a)) (* 1/3 rand))>
#<alt (* (+ (* a a) -1/9) (/ 1 (+ 1/3 a)))>
#<alt (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)>
#<alt (* 9 (- a (/ 1 3)))>
#<alt (sqrt (+ a -1/3))>
#<alt (* (sqrt (+ a -1/3)) -3)>
#<alt (* (- a (/ 1 3)) (+ 1 (neg (/ rand (* (sqrt (+ a -1/3)) -3)))))>
#<alt (sqrt -3)>
#<alt (* 1/3 (sqrt -3))>
#<alt (* (- a (/ 1 3)) (+ 1 (* (* 1/3 (sqrt -3)) rand)))>
#<alt (* (- a (/ 1 3)) (+ 1 (* (/ rand (sqrt (+ a -1/3))) 1/3)))>
#<alt (* (/ rand (sqrt (+ a -1/3))) 1/3)>
#<alt (sqrt (/ 1 a))>
#<alt (* 1/3 rand)>
#<alt (* (- a (/ 1 3)) (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))>
#<alt (sqrt (* 9 (- a (/ 1 3))))>
#<alt (* (* (+ (* a a) -1/9) (/ 1 (+ 1/3 a))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* rand (- (/ 1 rand) (* -1/3 (sqrt (/ 1 (- a 1/3))))))>
#<alt (* rand (- (/ 1 rand) (* -1/3 (sqrt (/ 1 (- a 1/3))))))>
#<alt (* rand (- (/ 1 rand) (* -1/3 (sqrt (/ 1 (- a 1/3))))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (- 1 (* -1/3 (* rand (sqrt -3))))>
#<alt (- (+ 1 (* -3/2 (/ (* a rand) (sqrt -3)))) (* -1/3 (* rand (sqrt -3))))>
#<alt (- (+ 1 (* a (- (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))) (* 3/2 (/ rand (sqrt -3)))))) (* -1/3 (* rand (sqrt -3))))>
#<alt (- (+ 1 (* a (- (* 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))))) (* 3/2 (/ rand (sqrt -3)))))) (* -1/3 (* rand (sqrt -3))))>
#<alt (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (- (+ 1 (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))) (* -1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (- (+ 1 (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand))))>
#<alt (- (+ 1 (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a)))))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)))))>
#<alt (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (- (+ 1 (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand))) (* -1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (- (+ 1 (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))>
#<alt (- (+ 1 (* -1 (/ (- (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a))))) (* -1/54 (* (sqrt a) rand))) (pow a 3)))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (- (* -3/2 (/ (* a rand) (sqrt -3))) (* -1/3 (* rand (sqrt -3))))>
#<alt (- (* a (- (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))) (* 3/2 (/ rand (sqrt -3))))) (* -1/3 (* rand (sqrt -3))))>
#<alt (- (* a (- (* 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))))) (* 3/2 (/ rand (sqrt -3))))) (* -1/3 (* rand (sqrt -3))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (- (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* -1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (- (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand))))>
#<alt (- (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (- (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* -1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (- (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))>
#<alt (- (* -1 (/ (- (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a))))) (* -1/54 (* (sqrt a) rand))) (pow a 3))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (* rand (sqrt -3))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt -3))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt -3))))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* rand (+ (* 1/3 (sqrt -3)) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt -3)) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt -3)) (/ 1 rand)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt -3)) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt -3)) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt -3)) (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt -3))))>
#<alt (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))>
#<alt (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt -3))>
#<alt (+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))>
#<alt (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))>
#<alt (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
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#<alt (- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))>
#<alt (* 3 (sqrt -1/3))>
#<alt (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))>
#<alt (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))>
#<alt (* 3 (sqrt a))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))>
#<alt (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))>
#<alt (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (+ (* 1/2 (/ rand (sqrt -3))) (* a (- (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (+ (* 1/2 (/ rand (sqrt -3))) (* a (- (+ (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* a (- (* 3 (+ (* -3/2 (/ rand (sqrt -3))) (* 1/54 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))) (* 3 (- (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (- (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a))))>
#<alt (* a (- (+ 1 (+ (* -1/162 (* (sqrt (/ 1 (pow a 7))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a))))>
#<alt (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (- (* -1 (/ (- (* -1 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* 1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* -1 (/ (- (* -1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/3 (- (* -1 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))) a))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* 1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))>
#<alt (/ (- (pow a 2) 1/9) (+ 1/3 a))>
#<alt (- (+ (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (+ 1/3 a))) (* 1/9 (/ 1 (+ 1/3 a))))>
#<alt (- (+ (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (+ 1/3 a))) (* 1/9 (/ 1 (+ 1/3 a))))>
#<alt (- (+ (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (+ 1/3 a))) (* 1/9 (/ 1 (+ 1/3 a))))>
#<alt (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3)))))>
#<alt (* rand (- (+ (* 1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (* rand (+ 1/3 a)))) (/ 1/9 (* rand (+ 1/3 a)))))>
#<alt (* rand (- (+ (* 1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (* rand (+ 1/3 a)))) (/ 1/9 (* rand (+ 1/3 a)))))>
#<alt (* rand (- (+ (* 1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (* rand (+ 1/3 a)))) (/ 1/9 (* rand (+ 1/3 a)))))>
#<alt (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3)))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- (/ (pow a 2) (+ 1/3 a)) (* 1/9 (/ 1 (+ 1/3 a)))) rand)) (* -1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- (/ (pow a 2) (+ 1/3 a)) (* 1/9 (/ 1 (+ 1/3 a)))) rand)) (* -1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- (/ (pow a 2) (+ 1/3 a)) (* 1/9 (/ 1 (+ 1/3 a)))) rand)) (* -1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))))))>
Calls

108 calls:

TimeVariablePointExpression
9.0ms
a
@-inf
(+ 1 (* (/ rand (sqrt (+ a -1/3))) 1/3))
2.0ms
rand
@inf
(+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand)))
1.0ms
a
@-inf
(sqrt (+ a -1/3))
1.0ms
a
@-inf
(* (* (+ (* a a) -1/9) (/ 1 (+ 1/3 a))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
1.0ms
a
@-inf
(+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand)))

rewrite463.0ms (3.9%)

Memory
36.6MiB live, 1 017.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 658×/-lowering-/.f32
4 658×/-lowering-/.f64
3 598×accelerator-lowering-fma.f32
3 598×accelerator-lowering-fma.f64
3 304×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044194
1257184
22598184
08407170
Stop Event
1×iter limit
1×node limit
Counts
26 → 1 734
Calls
Call 1
Inputs
(/ 1 3)
(+ 1 (neg (/ rand (* (sqrt (+ a -1/3)) -3))))
(neg (/ rand (* (sqrt (+ a -1/3)) -3)))
(- a (/ 1 3))
(+ 1 (* (* 1/3 (sqrt -3)) rand))
(* (* 1/3 (sqrt -3)) rand)
(+ 1 (* (/ rand (sqrt (+ a -1/3))) 1/3))
(/ rand (sqrt (+ a -1/3)))
(+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand)))
(* (sqrt (/ 1 a)) (* 1/3 rand))
(* (+ (* a a) -1/9) (/ 1 (+ 1/3 a)))
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
(* 9 (- a (/ 1 3)))
(sqrt (+ a -1/3))
(* (sqrt (+ a -1/3)) -3)
(* (- a (/ 1 3)) (+ 1 (neg (/ rand (* (sqrt (+ a -1/3)) -3)))))
(sqrt -3)
(* 1/3 (sqrt -3))
(* (- a (/ 1 3)) (+ 1 (* (* 1/3 (sqrt -3)) rand)))
(* (- a (/ 1 3)) (+ 1 (* (/ rand (sqrt (+ a -1/3))) 1/3)))
(* (/ rand (sqrt (+ a -1/3))) 1/3)
(sqrt (/ 1 a))
(* 1/3 rand)
(* (- a (/ 1 3)) (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
(sqrt (* 9 (- a (/ 1 3))))
(* (* (+ (* a a) -1/9) (/ 1 (+ 1/3 a))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
Outputs
#s(literal 1/3 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(+.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (/.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (/.f64 (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64))) #s(literal -27 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))))
(-.f64 (/.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (/.f64 rand (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 rand #s(literal -3 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 rand (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal -3 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) rand) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64))) #s(literal -27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))))
(/.f64 (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(/.f64 (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
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(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (/.f64 (*.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.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 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a))) (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal -1/729 binary64)) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal -1/729 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal -1/729 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1/81 binary64)) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1/81 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1/81 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -3 binary64)) (/.f64 rand (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -3 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 rand #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 rand #s(literal -3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal -1/729 binary64)) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal -1/729 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal -1/729 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1/81 binary64)) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1/81 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1/81 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -3 binary64)) (/.f64 rand (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -3 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 rand #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 rand #s(literal -3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal -1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (*.f64 (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (+.f64 #s(literal 1/3 binary64) a)) (*.f64 (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 #s(literal 1/3 binary64) a)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) a) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
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(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (/.f64 (*.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.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 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a))) (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal -1/729 binary64)) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal -1/729 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal -1/729 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1/81 binary64)) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1/81 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1/81 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -3 binary64)) (/.f64 rand (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -3 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 rand #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 rand #s(literal -3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
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(/.f64 (fma.f64 (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) #s(literal 3 binary64))) (fma.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (-.f64 (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (*.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (+.f64 #s(literal 1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (+.f64 #s(literal 1/3 binary64) a)) (fma.f64 a a #s(literal -1/9 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(*.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) a))))

simplify608.0ms (5.1%)

Memory
18.3MiB live, 1 055.6MiB allocated
Algorithm
1×egg-herbie
Rules
12 388×accelerator-lowering-fma.f32
12 388×accelerator-lowering-fma.f64
6 308×*-lowering-*.f32
6 308×*-lowering-*.f64
4 850×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07237589
123706766
279296766
080146288
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
1
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* rand (- (/ 1 rand) (* -1/3 (sqrt (/ 1 (- a 1/3))))))
(* rand (- (/ 1 rand) (* -1/3 (sqrt (/ 1 (- a 1/3))))))
(* rand (- (/ 1 rand) (* -1/3 (sqrt (/ 1 (- a 1/3))))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(- 1 (* -1/3 (* rand (sqrt -3))))
(- (+ 1 (* -3/2 (/ (* a rand) (sqrt -3)))) (* -1/3 (* rand (sqrt -3))))
(- (+ 1 (* a (- (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))) (* 3/2 (/ rand (sqrt -3)))))) (* -1/3 (* rand (sqrt -3))))
(- (+ 1 (* a (- (* 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))))) (* 3/2 (/ rand (sqrt -3)))))) (* -1/3 (* rand (sqrt -3))))
(- 1 (* -1/3 (* (sqrt (/ 1 a)) rand)))
(- (+ 1 (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))) (* -1/3 (* (sqrt (/ 1 a)) rand)))
(- (+ 1 (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand))))
(- (+ 1 (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a)))))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)))))
(- 1 (* -1/3 (* (sqrt (/ 1 a)) rand)))
(- (+ 1 (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand))) (* -1/3 (* (sqrt (/ 1 a)) rand)))
(- (+ 1 (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))
(- (+ 1 (* -1 (/ (- (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a))))) (* -1/54 (* (sqrt a) rand))) (pow a 3)))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt -3)))
(- (* -3/2 (/ (* a rand) (sqrt -3))) (* -1/3 (* rand (sqrt -3))))
(- (* a (- (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))) (* 3/2 (/ rand (sqrt -3))))) (* -1/3 (* rand (sqrt -3))))
(- (* a (- (* 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))))) (* 3/2 (/ rand (sqrt -3))))) (* -1/3 (* rand (sqrt -3))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(- (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* -1/3 (* (sqrt (/ 1 a)) rand)))
(- (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand))))
(- (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)))))
(* 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)) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))
(- (* -1 (/ (- (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a))))) (* -1/54 (* (sqrt a) rand))) (pow a 3))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
1
(+ 1 (* 1/3 (* rand (sqrt -3))))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(* 1/3 (* rand (sqrt -3)))
(* rand (+ (* 1/3 (sqrt -3)) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt -3)) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt -3)) (/ 1 rand)))
(* 1/3 (* rand (sqrt -3)))
(* -1 (* rand (- (* -1/3 (sqrt -3)) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt -3)) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt -3)) (/ 1 rand))))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
(* 1/3 (* rand (sqrt -3)))
1
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt -3))
(+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))
(* (sqrt (/ 1 a)) rand)
(+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(* (sqrt (/ 1 a)) rand)
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
1
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* 1/3 (* rand (sqrt -3)))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
-3
(- (* 9 a) 3)
(- (* 9 a) 3)
(- (* 9 a) 3)
(* 9 a)
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* 9 a)
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -3 (sqrt -1/3))
(+ (* -3 (sqrt -1/3)) (* -3/2 (/ a (sqrt -1/3))))
(+ (* -3 (sqrt -1/3)) (* a (- (* 3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+ (* -3 (sqrt -1/3)) (* a (- (* a (+ (* -3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(* -3 (sqrt a))
(* a (+ (* -3 (sqrt (/ 1 a))) (* 1/2 (sqrt (/ 1 (pow a 3))))))
(* a (+ (* -3 (sqrt (/ 1 a))) (+ (* 1/24 (sqrt (/ 1 (pow a 5)))) (* 1/2 (sqrt (/ 1 (pow a 3)))))))
(* a (+ (* -3 (sqrt (/ 1 a))) (+ (* 1/144 (sqrt (/ 1 (pow a 7)))) (+ (* 1/24 (sqrt (/ 1 (pow a 5)))) (* 1/2 (sqrt (/ 1 (pow a 3))))))))
(* 3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (+ (* -1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (* 1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))))))))
(* -1/3 (- 1 (* -1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (- 1 (* -1/3 (* rand (sqrt -3))))) (* a (- (+ 1 (* 1/2 (/ rand (sqrt -3)))) (* -1/3 (* rand (sqrt -3))))))
(+ (* -1/3 (- 1 (* -1/3 (* rand (sqrt -3))))) (* a (- (+ 1 (+ (* 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 (* rand (sqrt -3))))))
(+ (* -1/3 (- 1 (* -1/3 (* rand (sqrt -3))))) (* a (- (+ 1 (+ (* 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 -3))))))
(* a (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* -1/3 (/ (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand))) a))) (* -1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (+ (* -1/3 (/ (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))) (* -1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (+ (* -1/3 (/ (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))) (* -1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (+ (* -1 (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (* 1/3 (* rand (sqrt -3))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (* 1/3 (* rand (sqrt -3))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (* 1/3 (* rand (sqrt -3))))))
(* a (+ 1 (* 1/3 (* rand (sqrt -3)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)) (* 1/3 (* rand (sqrt -3))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)) (* 1/3 (* rand (sqrt -3))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)) (* 1/3 (* rand (sqrt -3))))))
(* a (+ 1 (* 1/3 (* rand (sqrt -3)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* 1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* 1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* 1/3 (/ (+ 1 (* 1/3 (* rand (sqrt -3)))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (* (sqrt -3) (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (* (sqrt -3) (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (* (sqrt -3) (- a 1/3))))) 1/3)
(* 1/3 (* rand (* (sqrt -3) (- a 1/3))))
(* rand (- (+ (* 1/3 (* (sqrt -3) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (* (sqrt -3) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (* (sqrt -3) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (* (sqrt -3) (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt -3) (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt -3) (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt -3) (- a 1/3))))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt -3)))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* -1/9 (* (sqrt (/ 1 a)) rand))
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (* 1/3 (* (sqrt a) rand)) 1/3))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(* 3 (sqrt -1/3))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(* 3 (sqrt a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (+ (* 1/2 (/ rand (sqrt -3))) (* a (- (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (+ (* 1/2 (/ rand (sqrt -3))) (* a (- (+ (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* a (- (* 3 (+ (* -3/2 (/ rand (sqrt -3))) (* 1/54 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))) (* 3 (- (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (- (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a))))
(* a (- (+ 1 (+ (* -1/162 (* (sqrt (/ 1 (pow a 7))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a))))
(* 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 (/ (- (* -1 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* 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 (/ (- (+ (* -1 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* -1 (/ (- (* -1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/3 (- (* -1 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))) a))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* 1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(/ (- (pow a 2) 1/9) (+ 1/3 a))
(- (+ (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (+ 1/3 a))) (* 1/9 (/ 1 (+ 1/3 a))))
(- (+ (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (+ 1/3 a))) (* 1/9 (/ 1 (+ 1/3 a))))
(- (+ (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (+ 1/3 a))) (* 1/9 (/ 1 (+ 1/3 a))))
(* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3)))))
(* rand (- (+ (* 1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (* rand (+ 1/3 a)))) (/ 1/9 (* rand (+ 1/3 a)))))
(* rand (- (+ (* 1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (* rand (+ 1/3 a)))) (/ 1/9 (* rand (+ 1/3 a)))))
(* rand (- (+ (* 1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (* rand (+ 1/3 a)))) (/ 1/9 (* rand (+ 1/3 a)))))
(* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3)))))
(* -1 (* rand (+ (* -1 (/ (- (/ (pow a 2) (+ 1/3 a)) (* 1/9 (/ 1 (+ 1/3 a)))) rand)) (* -1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))))))
(* -1 (* rand (+ (* -1 (/ (- (/ (pow a 2) (+ 1/3 a)) (* 1/9 (/ 1 (+ 1/3 a)))) rand)) (* -1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))))))
(* -1 (* rand (+ (* -1 (/ (- (/ (pow a 2) (+ 1/3 a)) (* 1/9 (/ 1 (+ 1/3 a)))) rand)) (* -1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (- (/ 1 rand) (* -1/3 (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (- (/ 1 rand) (* -1/3 (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (- (/ 1 rand) (* -1/3 (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(- 1 (* -1/3 (* rand (sqrt -3))))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(- (+ 1 (* -3/2 (/ (* a rand) (sqrt -3)))) (* -1/3 (* rand (sqrt -3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 a (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)))
(- (+ 1 (* a (- (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))) (* 3/2 (/ rand (sqrt -3)))))) (* -1/3 (* rand (sqrt -3))))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(- (+ 1 (* a (- (* 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))))) (* 3/2 (/ rand (sqrt -3)))))) (* -1/3 (* rand (sqrt -3))))
(fma.f64 a (fma.f64 a (*.f64 #s(literal -1/6 binary64) (fma.f64 a (*.f64 #s(literal 405/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(- 1 (* -1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(- (+ 1 (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))) (* -1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64))
(- (+ 1 (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand))))
(fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal 1/54 binary64)) #s(literal 1 binary64)))
(- (+ 1 (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a)))))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (*.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 rand (fma.f64 #s(literal -1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand))))
(- 1 (* -1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(- (+ 1 (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand))) (* -1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64))
(- (+ 1 (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))
(fma.f64 rand (fma.f64 #s(literal -1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(- (+ 1 (* -1 (/ (- (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a))))) (* -1/54 (* (sqrt a) rand))) (pow a 3)))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))
(fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)))) (*.f64 #s(literal 1/54 binary64) (*.f64 rand (sqrt.f64 a)))) (*.f64 a (*.f64 a a)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))
(- (* -3/2 (/ (* a rand) (sqrt -3))) (* -1/3 (* rand (sqrt -3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))))
(- (* a (- (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))) (* 3/2 (/ rand (sqrt -3))))) (* -1/3 (* rand (sqrt -3))))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand)))
(- (* a (- (* 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))))) (* 3/2 (/ rand (sqrt -3))))) (* -1/3 (* rand (sqrt -3))))
(fma.f64 a (fma.f64 a (*.f64 #s(literal -1/6 binary64) (fma.f64 a (*.f64 #s(literal 405/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(- (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* -1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(- (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 rand (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))))
(- (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (*.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) #s(literal 1/6 binary64))) (fma.f64 rand (fma.f64 #s(literal -1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(- (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* -1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(- (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))
(fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal -1/54 binary64))))
(- (* -1 (/ (- (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a))))) (* -1/54 (* (sqrt a) rand))) (pow a 3))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))
(fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)))) (*.f64 #s(literal 1/54 binary64) (*.f64 rand (sqrt.f64 a)))) (neg.f64 (*.f64 a (*.f64 a a)))))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a)) (neg.f64 a))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a)) (neg.f64 a))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a)) (neg.f64 a))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* rand (sqrt -3))))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* 1/3 (* rand (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (+ (* 1/3 (sqrt -3)) (/ 1 rand)))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt -3)) (/ 1 rand)))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt -3)) (/ 1 rand)))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* 1/3 (* rand (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (- (* -1/3 (sqrt -3)) (/ 1 rand))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) rand)) (neg.f64 rand))
(* -1 (* rand (- (* -1/3 (sqrt -3)) (/ 1 rand))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) rand)) (neg.f64 rand))
(* -1 (* rand (- (* -1/3 (sqrt -3)) (/ 1 rand))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) rand)) (neg.f64 rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) rand)) (neg.f64 rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) rand)) (neg.f64 rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) rand)) (neg.f64 rand))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 a (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))
(fma.f64 a (fma.f64 a (*.f64 #s(literal -1/6 binary64) (fma.f64 a (*.f64 #s(literal 405/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal 1/54 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal 1/54 binary64)) #s(literal 1 binary64)) (fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (*.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) #s(literal 1/6 binary64)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 #s(literal -1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)))) (*.f64 #s(literal 1/54 binary64) (*.f64 rand (sqrt.f64 a)))) (*.f64 a (*.f64 a a)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt -3))
(*.f64 rand (sqrt.f64 #s(literal -3 binary64)))
(+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))
(fma.f64 rand (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal -9/2 binary64) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) a)))
(+ (* 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 rand (sqrt.f64 #s(literal -3 binary64)) (*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -81/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -9/2 binary64)))))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))
(fma.f64 a (fma.f64 a (*.f64 #s(literal -1/2 binary64) (fma.f64 a (*.f64 #s(literal 405/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -9/2 binary64))) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(*.f64 rand (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(fma.f64 rand (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal 1/18 binary64))))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (*.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) #s(literal 1/2 binary64)))))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(*.f64 rand (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))
(fma.f64 rand (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal -1/18 binary64))))
(+ (* -1 (/ (+ (* 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 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/18 binary64) (*.f64 rand (sqrt.f64 a)))) (*.f64 a (*.f64 a a)))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)) a) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)) a) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)) a) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1 binary64) rand)) (neg.f64 rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1 binary64) rand)) (neg.f64 rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1 binary64) rand)) (neg.f64 rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a)) (neg.f64 a))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a)) (neg.f64 a))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a)) (neg.f64 a))
(* 1/3 (* rand (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(fma.f64 a (fma.f64 a (*.f64 #s(literal -1/6 binary64) (fma.f64 a (*.f64 #s(literal 405/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 rand (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (*.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (/.f64 (*.f64 rand (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)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(fma.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 rand (sqrt.f64 a))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))))) (neg.f64 (*.f64 a (*.f64 a a)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
-3
#s(literal -3 binary64)
(- (* 9 a) 3)
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(- (* 9 a) 3)
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(- (* 9 a) 3)
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 3 binary64) a)) (neg.f64 a))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 3 binary64) a)) (neg.f64 a))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 3 binary64) a)) (neg.f64 a))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 #s(literal 3/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(*.f64 a (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(*.f64 a (+.f64 (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))) (neg.f64 a))
(* -3 (sqrt -1/3))
(*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* -3 (sqrt -1/3)) (* -3/2 (/ a (sqrt -1/3))))
(fma.f64 #s(literal -3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* -3 (sqrt -1/3)) (* a (- (* 3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
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(* -1/3 (- 1 (* -1/3 (* rand (sqrt -3)))))
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(* a (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand))))
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(* -1 (* a (+ (* -1 (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
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(* 1/3 (* rand (* (sqrt -3) (- a 1/3))))
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(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
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(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 a (fma.f64 a (+.f64 (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 45/16 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(fma.f64 a (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) #s(literal 0 binary64) (fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/18 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64))) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) (/.f64 (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/18 binary64)) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 0 binary64))) a)) a)) (neg.f64 a))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(-.f64 #s(literal 0 binary64) (*.f64 rand (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(-.f64 #s(literal 0 binary64) (*.f64 rand (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(-.f64 #s(literal 0 binary64) (*.f64 rand (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(fma.f64 a (fma.f64 a (*.f64 #s(literal -1/6 binary64) (fma.f64 a (*.f64 #s(literal 405/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 rand (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (*.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal -1/54 binary64))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)))) (*.f64 #s(literal 1/54 binary64) (*.f64 rand (sqrt.f64 a)))) (neg.f64 (*.f64 a (*.f64 a a)))))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* -1/9 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)))
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (* 1/3 (* (sqrt a) rand)) 1/3))) a)
(/.f64 (fma.f64 (*.f64 rand (sqrt.f64 a)) #s(literal -1/9 binary64) (*.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)) #s(literal -1/3 binary64)))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(/.f64 (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal -1/9 binary64)) (*.f64 a (+.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)) a)))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(/.f64 (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal -1/9 binary64)) (*.f64 a (+.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)) a)))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
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(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/9 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) #s(literal 1/9 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 a) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))) (neg.f64 a))) a))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* -1 (/ (- (* -1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/3 (- (* -1 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))) a))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* 1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/9 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) #s(literal 1/9 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 a) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1/9 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) #s(literal 1/9 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 a) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))) (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (sqrt.f64 a) #s(literal -1/18 binary64)))) a))) a))) a))))
(/ (- (pow a 2) 1/9) (+ 1/3 a))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a))
(- (+ (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (+ 1/3 a))) (* 1/9 (/ 1 (+ 1/3 a))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) a))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a)))
(- (+ (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (+ 1/3 a))) (* 1/9 (/ 1 (+ 1/3 a))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) a))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a)))
(- (+ (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (+ 1/3 a))) (* 1/9 (/ 1 (+ 1/3 a))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) a))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a)))
(* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) a))))
(* rand (- (+ (* 1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (* rand (+ 1/3 a)))) (/ 1/9 (* rand (+ 1/3 a)))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 rand (+.f64 #s(literal 1/3 binary64) a)))))
(* rand (- (+ (* 1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (* rand (+ 1/3 a)))) (/ 1/9 (* rand (+ 1/3 a)))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 rand (+.f64 #s(literal 1/3 binary64) a)))))
(* rand (- (+ (* 1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (* rand (+ 1/3 a)))) (/ 1/9 (* rand (+ 1/3 a)))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 rand (+.f64 #s(literal 1/3 binary64) a)))))
(* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) a))))
(* -1 (* rand (+ (* -1 (/ (- (/ (pow a 2) (+ 1/3 a)) (* 1/9 (/ 1 (+ 1/3 a)))) rand)) (* -1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))))))
(-.f64 #s(literal 0 binary64) (*.f64 rand (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 #s(literal 1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 rand (+.f64 #s(literal 1/3 binary64) a))))))
(* -1 (* rand (+ (* -1 (/ (- (/ (pow a 2) (+ 1/3 a)) (* 1/9 (/ 1 (+ 1/3 a)))) rand)) (* -1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))))))
(-.f64 #s(literal 0 binary64) (*.f64 rand (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 #s(literal 1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 rand (+.f64 #s(literal 1/3 binary64) a))))))
(* -1 (* rand (+ (* -1 (/ (- (/ (pow a 2) (+ 1/3 a)) (* 1/9 (/ 1 (+ 1/3 a)))) rand)) (* -1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))))))
(-.f64 #s(literal 0 binary64) (*.f64 rand (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 #s(literal 1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 rand (+.f64 #s(literal 1/3 binary64) a))))))

eval854.0ms (7.1%)

Memory
-14.5MiB live, 688.3MiB allocated
Compiler

Compiled 83 180 to 5 869 computations (92.9% saved)

prune980.0ms (8.2%)

Memory
-3.2MiB live, 560.2MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New2 816102 826
Fresh505
Picked505
Done000
Total2 826102 836
Accuracy
100.0%
Counts
2 836 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
99.9%
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
36.4%
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a))
▶66.3%
(+.f64 a #s(literal -1/3 binary64))
▶98.6%
(*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
▶99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
▶35.2%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
77.2%
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
▶97.7%
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
97.7%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))))
Compiler

Compiled 250 to 174 computations (30.4% saved)

simplify74.0ms (0.6%)

Memory
33.8MiB live, 71.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) a)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
✓cost-diff0
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
✓cost-diff0
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
✓cost-diff0
(fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) rand)
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff0
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 rand (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)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
Rules
1 304×accelerator-lowering-fma.f32
1 304×accelerator-lowering-fma.f64
712×*-lowering-*.f32
712×*-lowering-*.f64
390×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027149
166149
2146149
3422149
4775149
5993149
61114149
71196149
01196140
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (+ a -1/3) (+ 1 (/ rand (sqrt (+ (* a 9) -3)))))
(+ a -1/3)
a
-1/3
(+ 1 (/ rand (sqrt (+ (* a 9) -3))))
1
(/ rand (sqrt (+ (* a 9) -3)))
rand
(sqrt (+ (* a 9) -3))
(+ (* a 9) -3)
9
-3
(+ a -1/3)
a
-1/3
(* (sqrt (+ a -1/3)) (* 1/3 rand))
(sqrt (+ a -1/3))
(+ a -1/3)
a
-1/3
(* 1/3 rand)
1/3
rand
(* (+ (* rand (/ 1/3 (sqrt a))) 1) (+ a -1/3))
(+ (* rand (/ 1/3 (sqrt a))) 1)
rand
(/ 1/3 (sqrt a))
1/3
(sqrt a)
a
1
(+ a -1/3)
-1/3
(* a (+ (* (sqrt (/ 1 a)) (* 1/3 rand)) 1))
a
(+ (* (sqrt (/ 1 a)) (* 1/3 rand)) 1)
(sqrt (/ 1 a))
(/ 1 a)
1
(* 1/3 rand)
1/3
rand
Outputs
(* (+ a -1/3) (+ 1 (/ rand (sqrt (+ (* a 9) -3)))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
(+ 1 (/ rand (sqrt (+ (* a 9) -3))))
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
1
#s(literal 1 binary64)
(/ rand (sqrt (+ (* a 9) -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
rand
(sqrt (+ (* a 9) -3))
(sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
(+ (* a 9) -3)
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
9
#s(literal 9 binary64)
-3
#s(literal -3 binary64)
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
(* (sqrt (+ a -1/3)) (* 1/3 rand))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))
(sqrt (+ a -1/3))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
rand
(* (+ (* rand (/ 1/3 (sqrt a))) 1) (+ a -1/3))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))
(+ (* rand (/ 1/3 (sqrt a))) 1)
(fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
rand
(/ 1/3 (sqrt a))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
1/3
#s(literal 1/3 binary64)
(sqrt a)
(sqrt.f64 a)
a
1
#s(literal 1 binary64)
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(* a (+ (* (sqrt (/ 1 a)) (* 1/3 rand)) 1))
(*.f64 a (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)))
a
(+ (* (sqrt (/ 1 a)) (* 1/3 rand)) 1)
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
rand

localize193.0ms (1.6%)

Memory
2.1MiB live, 202.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
✓accuracy99.9%
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
✓accuracy99.9%
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) rand)
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.9%
(*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.8%
(fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.5%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) rand)
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
✓accuracy99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
✓accuracy99.8%
(sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
✓accuracy99.7%
(/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
Samples
53.0ms239×0valid
21.0ms9×1valid
4.0ms8×2valid
Compiler

Compiled 142 to 29 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-sqrt: 25.0ms (42% of total)
ival-mult: 11.0ms (18.5% of total)
ival-add: 10.0ms (16.8% of total)
const: 7.0ms (11.8% of total)
ival-div: 5.0ms (8.4% of total)
adjust: 1.0ms (1.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series107.0ms (0.9%)

Memory
-24.5MiB live, 55.5MiB allocated
Counts
16 → 288
Calls
Call 1
Inputs
#<alt (* (+ a -1/3) (+ 1 (/ rand (sqrt (+ (* a 9) -3)))))>
#<alt (+ a -1/3)>
#<alt (+ 1 (/ rand (sqrt (+ (* a 9) -3))))>
#<alt (/ rand (sqrt (+ (* a 9) -3)))>
#<alt (* (sqrt (+ a -1/3)) (* 1/3 rand))>
#<alt (sqrt (+ a -1/3))>
#<alt (* 1/3 rand)>
#<alt (* (+ (* rand (/ 1/3 (sqrt a))) 1) (+ a -1/3))>
#<alt (+ (* rand (/ 1/3 (sqrt a))) 1)>
#<alt (/ 1/3 (sqrt a))>
#<alt (sqrt a)>
#<alt (* a (+ (* (sqrt (/ 1 a)) (* 1/3 rand)) 1))>
#<alt (+ (* (sqrt (/ 1 a)) (* 1/3 rand)) 1)>
#<alt (sqrt (/ 1 a))>
#<alt (/ 1 a)>
#<alt (sqrt (+ (* a 9) -3))>
Outputs
#<alt (* -1/3 (+ 1 (* rand (sqrt -1/3))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt 1>
#<alt (+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))>
#<alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))>
#<alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))>
#<alt (+ 1 (* rand (sqrt -1/3)))>
#<alt (+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))>
#<alt (+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))>
#<alt (+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a)))))))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt -1/3))>
#<alt (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* 1/3 (* rand (sqrt -1/3)))>
#<alt (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))>
#<alt (* -1/9 (* (sqrt (/ 1 a)) rand))>
#<alt (/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (* 1/3 (* (sqrt a) rand)) 1/3))) a)>
#<alt (/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)>
#<alt (/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt a>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (sqrt -3)>
#<alt (+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))>
#<alt (+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))>
#<alt (+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))>
#<alt (* 3 (sqrt a))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))>
Calls

72 calls:

TimeVariablePointExpression
47.0ms
a
@0
(* (+ a -1/3) (+ 1 (/ rand (sqrt (+ (* a 9) -3)))))
36.0ms
rand
@0
(* a (+ (* (sqrt (/ 1 a)) (* 1/3 rand)) 1))
5.0ms
rand
@inf
(* (+ a -1/3) (+ 1 (/ rand (sqrt (+ (* a 9) -3)))))
2.0ms
a
@-inf
(/ 1/3 (sqrt a))
1.0ms
rand
@0
(* (+ a -1/3) (+ 1 (/ rand (sqrt (+ (* a 9) -3)))))

rewrite559.0ms (4.7%)

Memory
17.8MiB live, 979.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 748×*-lowering-*.f32
4 748×*-lowering-*.f64
4 346×/-lowering-/.f32
4 346×/-lowering-/.f64
3 668×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027109
1154106
21251104
0822596
Stop Event
1×iter limit
1×node limit
Counts
16 → 1 038
Calls
Call 1
Inputs
(* (+ a -1/3) (+ 1 (/ rand (sqrt (+ (* a 9) -3)))))
(+ a -1/3)
(+ 1 (/ rand (sqrt (+ (* a 9) -3))))
(/ rand (sqrt (+ (* a 9) -3)))
(* (sqrt (+ a -1/3)) (* 1/3 rand))
(sqrt (+ a -1/3))
(* 1/3 rand)
(* (+ (* rand (/ 1/3 (sqrt a))) 1) (+ a -1/3))
(+ (* rand (/ 1/3 (sqrt a))) 1)
(/ 1/3 (sqrt a))
(sqrt a)
(* a (+ (* (sqrt (/ 1 a)) (* 1/3 rand)) 1))
(+ (* (sqrt (/ 1 a)) (* 1/3 rand)) 1)
(sqrt (/ 1 a))
(/ 1 a)
(sqrt (+ (* a 9) -3))
Outputs
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (/.f64 (*.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal -1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))))
(/.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(/.f64 (+.f64 (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) rand) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) rand)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) rand)) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) rand))))
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(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) rand) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) rand) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) rand) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal -1/9 binary64))))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) rand) (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))))
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(/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) rand)))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64))))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(/.f64 (+.f64 (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) rand) (*.f64 (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) rand)))
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(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal -1/9 binary64))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) rand) (+.f64 a #s(literal 1/3 binary64))) (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) rand) (+.f64 a #s(literal 1/3 binary64))) (neg.f64 (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal -1/9 binary64))) (-.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) rand) (+.f64 a #s(literal 1/3 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) rand) (+.f64 a #s(literal 1/3 binary64))) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal -1/9 binary64))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (neg.f64 (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (-.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 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)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 (*.f64 (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))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 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)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 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)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal -1/9 binary64))))) (*.f64 (*.f64 (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))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (neg.f64 (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (-.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
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(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 a (sqrt.f64 a))) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))))))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) #s(literal -1 binary64))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64))))
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(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) #s(literal -1 binary64))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 a (sqrt.f64 a))) #s(literal 1 binary64)) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 a (sqrt.f64 a))) #s(literal 1 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) #s(literal -1 binary64)) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) #s(literal -1 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)) (+.f64 a #s(literal 1/3 binary64))))
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(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) #s(literal -1/3 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) #s(literal -1/3 binary64)))) (-.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a) (fma.f64 #s(literal -1/3 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) #s(literal -1/3 binary64))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 a (sqrt.f64 a))) #s(literal 1 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) #s(literal -1 binary64))) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64))) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 a (sqrt.f64 a))) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) #s(literal -1 binary64)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 a (sqrt.f64 a))) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) (fma.f64 (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)) (*.f64 a (sqrt.f64 a)) (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) (fma.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 a (sqrt.f64 a))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) (*.f64 a a)))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 a (sqrt.f64 a))) #s(literal 1 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) (*.f64 a (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 a (sqrt.f64 a))) #s(literal 1 binary64))))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 a (sqrt.f64 a))) #s(literal 1 binary64))) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) #s(literal -1 binary64))))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 a (sqrt.f64 a))) #s(literal 1 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) (*.f64 (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 a (sqrt.f64 a))) #s(literal 1 binary64)) a))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 a (sqrt.f64 a))) #s(literal 1 binary64))) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) #s(literal -1 binary64)) a))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a))) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)) (*.f64 a (sqrt.f64 a)) (*.f64 a (*.f64 a a))))) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) (*.f64 a a)))) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) #s(literal -1 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)) (*.f64 a (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 a (sqrt.f64 a))) #s(literal 1 binary64))))) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64))) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 a (sqrt.f64 a))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)))))))
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 a (sqrt.f64 a))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 #s(literal 1/27 binary64) (*.f64 a (sqrt.f64 a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 a)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 a)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 a) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 a) #s(literal 1/2 binary64))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) (sqrt.f64 a))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 a))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 a)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a))))
(pow.f64 a #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 a) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 a #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) a)))
(*.f64 (pow.f64 a #s(literal -1/4 binary64)) (pow.f64 a #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
(*.f64 (pow.f64 (pow.f64 a #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 a #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 a)))
(exp.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 a)) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 a)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)))
(neg.f64 (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(pow.f64 a #s(literal -1 binary64))
(pow.f64 (sqrt.f64 a) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a))
(exp.f64 (*.f64 (log.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)) (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (sqrt.f64 (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (*.f64 a #s(literal -27 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64)))) (sqrt.f64 (-.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
(pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)))

simplify524.0ms (4.4%)

Memory
-23.7MiB live, 974.2MiB allocated
Algorithm
1×egg-herbie
Rules
15 108×accelerator-lowering-fma.f32
15 108×accelerator-lowering-fma.f64
6 076×*-lowering-*.f32
6 076×*-lowering-*.f64
5 100×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04333961
113523576
248143539
081053233
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* -1/3 (+ 1 (* rand (sqrt -1/3))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(- a 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
1
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(+ 1 (* rand (sqrt -1/3)))
(+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a)))))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt -1/3))
(+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(- a 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(* -1/9 (* (sqrt (/ 1 a)) rand))
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (* 1/3 (* (sqrt a) rand)) 1/3))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
1
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
1
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(sqrt -3)
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))
(* 3 (sqrt a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
Outputs
(* -1/3 (+ 1 (* rand (sqrt -1/3))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))
(fma.f64 a (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))) a))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 a (+.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal 15/16 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))) a))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(fma.f64 a (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a) (fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 0 binary64))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) a) (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(*.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/18 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64))) a)))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/18 binary64)) #s(literal 0 binary64)) a)) a))))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
1
#s(literal 1 binary64)
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(+ 1 (* rand (sqrt -1/3)))
(fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))
(fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (fma.f64 a (*.f64 #s(literal 9/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))
(fma.f64 a (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (fma.f64 a (*.f64 #s(literal 45/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 9/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (/.f64 (*.f64 rand #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64)) (fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64)))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a)))))))))
(+.f64 (fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.f64 #s(literal 3/2 binary64) (*.f64 rand (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal 1/54 binary64)) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64) (*.f64 #s(literal -1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(-.f64 (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 rand (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64))) #s(literal 3/2 binary64)) (*.f64 rand (*.f64 #s(literal 1/54 binary64) (sqrt.f64 a)))) (*.f64 a (*.f64 a a))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt -1/3))
(*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))
(fma.f64 (*.f64 a #s(literal -1/2 binary64)) (fma.f64 a (*.f64 #s(literal 9/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))
(fma.f64 a (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (fma.f64 a (*.f64 #s(literal 45/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 9/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (/.f64 (*.f64 rand #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64)) (*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))
(fma.f64 rand (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64)) (fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.f64 #s(literal 3/2 binary64) (*.f64 rand (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (*.f64 #s(literal -1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64)))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(-.f64 (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 rand (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64))) #s(literal 3/2 binary64)) (*.f64 rand (*.f64 #s(literal 1/54 binary64) (sqrt.f64 a)))) (*.f64 a (*.f64 a a))))
(* 1/3 (* rand (sqrt -1/3)))
(*.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(fma.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (*.f64 a (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(fma.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (*.f64 a (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal -1/216 binary64)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 a (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/1296 binary64))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (neg.f64 (*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))))
(* -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 #s(literal 0 binary64) (*.f64 a (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) #s(literal 1/216 binary64) (neg.f64 (*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))))
(* -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 (fma.f64 (-.f64 #s(literal 0 binary64) rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/1296 binary64))) (neg.f64 (*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))) (-.f64 #s(literal 0 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 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 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(*.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64)))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))) (-.f64 #s(literal 0 binary64) a))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(fma.f64 rand (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(fma.f64 rand (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(fma.f64 rand (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1/9 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)))
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (* 1/3 (* (sqrt a) rand)) 1/3))) a)
(/.f64 (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal -1/9 binary64)) (*.f64 a (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1/3 binary64)))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(/.f64 (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal -1/9 binary64)) (*.f64 a (+.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(/.f64 (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal -1/9 binary64)) (*.f64 a (+.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) a) (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) a) (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) a) (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) a))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 a (fma.f64 #s(literal -1/3 binary64) (*.f64 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))))))
(*.f64 a (fma.f64 #s(literal -1/3 binary64) (*.f64 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))))))
(*.f64 a (fma.f64 #s(literal -1/3 binary64) (*.f64 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))))))
(*.f64 a (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64)))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 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 #s(literal -1/3 binary64) (*.f64 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 #s(literal -1/3 binary64) (*.f64 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 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(sqrt -3)
(sqrt.f64 #s(literal -3 binary64))
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(fma.f64 a (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 (/.f64 a (sqrt.f64 #s(literal -3 binary64))) #s(literal 27/8 binary64) (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 729/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 27/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64) (fma.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64))))))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64))))) (-.f64 #s(literal 0 binary64) a))

eval196.0ms (1.6%)

Memory
53.2MiB live, 473.5MiB allocated
Compiler

Compiled 48 286 to 3 720 computations (92.3% saved)

prune192.0ms (1.6%)

Memory
-0.5MiB live, 517.0MiB allocated
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1 477101 487
Fresh505
Picked325
Done000
Total1 485121 497
Accuracy
100.0%
Counts
1 497 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.7%
(fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a a)
89.1%
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) a) a)
▶97.7%
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
✓66.3%
(+.f64 a #s(literal -1/3 binary64))
97.7%
(*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a)
✓99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
▶35.1%
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64))
35.2%
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
34.0%
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
▶33.9%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
65.4%
a
▶1.6%
#s(literal -1/3 binary64)
Compiler

Compiled 192 to 142 computations (26% saved)

simplify21.0ms (0.2%)

Memory
-20.5MiB live, 58.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff0
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64))
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(*.f64 rand #s(literal 1/3 binary64))
✓cost-diff0
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(*.f64 rand (sqrt.f64 a))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
✓cost-diff0
(/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))
✓cost-diff0
(fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a a)
Rules
252×*-lowering-*.f32
252×*-lowering-*.f64
136×associate-*l*
108×associate-*r*
100×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01982
14182
27382
39382
49782
514182
620182
729382
829682
935782
1036582
1137082
1238282
1338282
1438382
1538482
038480
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (/ rand (* (sqrt a) 3)) a) a)
(/ rand (* (sqrt a) 3))
rand
(* (sqrt a) 3)
(sqrt a)
a
3
-1/3
(* 1/3 (* rand (sqrt a)))
1/3
(* rand (sqrt a))
rand
(sqrt a)
a
(+ (* (* rand 1/3) (sqrt a)) a)
(* rand 1/3)
rand
1/3
(sqrt a)
a
(* (* (sqrt (+ a -1/3)) rand) 1/3)
(* (sqrt (+ a -1/3)) rand)
(sqrt (+ a -1/3))
(+ a -1/3)
a
-1/3
rand
1/3
Outputs
(+ (* (/ rand (* (sqrt a) 3)) a) a)
(*.f64 a (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))
(/ rand (* (sqrt a) 3))
(/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))
rand
(* (sqrt a) 3)
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(sqrt a)
(sqrt.f64 a)
a
3
#s(literal 3 binary64)
-1/3
#s(literal -1/3 binary64)
(* 1/3 (* rand (sqrt a)))
(*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(* rand (sqrt a))
(*.f64 rand (sqrt.f64 a))
rand
(sqrt a)
(sqrt.f64 a)
a
(+ (* (* rand 1/3) (sqrt a)) a)
(fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)
(* rand 1/3)
(*.f64 rand #s(literal 1/3 binary64))
rand
1/3
#s(literal 1/3 binary64)
(sqrt a)
(sqrt.f64 a)
a
(* (* (sqrt (+ a -1/3)) rand) 1/3)
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* (sqrt (+ a -1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(sqrt (+ a -1/3))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
rand
1/3
#s(literal 1/3 binary64)

localize65.0ms (0.5%)

Memory
6.9MiB live, 164.5MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.7%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)
✓accuracy99.4%
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64))
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.9%
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
✓accuracy99.5%
(*.f64 rand #s(literal 1/3 binary64))
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.7%
(*.f64 rand (sqrt.f64 a))
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.9%
(fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a a)
✓accuracy99.6%
(/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))
✓accuracy99.6%
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
Samples
41.0ms256×0valid
Compiler

Compiled 82 to 21 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 13.0ms (46.4% of total)
const: 6.0ms (21.4% of total)
ival-sqrt: 4.0ms (14.3% of total)
ival-add: 3.0ms (10.7% of total)
ival-div: 2.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
12 → 228
Calls
Call 1
Inputs
#<alt (+ (* (/ rand (* (sqrt a) 3)) a) a)>
#<alt (/ rand (* (sqrt a) 3))>
#<alt (* (sqrt a) 3)>
#<alt (sqrt a)>
#<alt (* 1/3 (* rand (sqrt a)))>
#<alt (* rand (sqrt a))>
#<alt (+ (* (* rand 1/3) (sqrt a)) a)>
#<alt (* rand 1/3)>
#<alt (* (* (sqrt (+ a -1/3)) rand) 1/3)>
#<alt (* (sqrt (+ a -1/3)) rand)>
#<alt (sqrt (+ a -1/3))>
#<alt (+ a -1/3)>
Outputs
#<alt a>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt a>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 (* rand (sqrt -1/3)))>
#<alt (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (sqrt -1/3))>
#<alt (+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))>
#<alt (* (sqrt a) rand)>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
Calls

57 calls:

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

rewrite400.0ms (3.3%)

Memory
-21.6MiB live, 695.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 680×accelerator-lowering-fma.f32
7 680×accelerator-lowering-fma.f64
4 814×*-lowering-*.f32
4 814×*-lowering-*.f64
3 074×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01964
18564
257964
3739364
0805362
Stop Event
1×iter limit
1×node limit
Counts
12 → 387
Calls
Call 1
Inputs
(+ (* (/ rand (* (sqrt a) 3)) a) a)
(/ rand (* (sqrt a) 3))
(* (sqrt a) 3)
(sqrt a)
(* 1/3 (* rand (sqrt a)))
(* rand (sqrt a))
(+ (* (* rand 1/3) (sqrt a)) a)
(* rand 1/3)
(* (* (sqrt (+ a -1/3)) rand) 1/3)
(* (sqrt (+ a -1/3)) rand)
(sqrt (+ a -1/3))
(+ a -1/3)
Outputs
(+.f64 a (/.f64 (*.f64 rand a) (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))
(+.f64 (/.f64 (*.f64 rand a) (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 (/.f64 (*.f64 rand (*.f64 rand (*.f64 a a))) (*.f64 (fma.f64 rand (/.f64 a (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) a)) (*.f64 a #s(literal 9 binary64)))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 rand (/.f64 a (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) a)))))
(-.f64 (/.f64 (*.f64 rand (*.f64 rand (*.f64 a a))) (*.f64 (fma.f64 rand (/.f64 a (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) a)) (*.f64 a #s(literal 9 binary64)))) (/.f64 (*.f64 a a) (fma.f64 rand (/.f64 a (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) a))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a (/.f64 (*.f64 rand a) (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))) (/.f64 (/.f64 (*.f64 rand (*.f64 rand (*.f64 a a))) (*.f64 a #s(literal 9 binary64))) (+.f64 a (/.f64 (*.f64 rand a) (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))))
(fma.f64 rand (/.f64 a (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(fma.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 a #s(literal 1/3 binary64))) a)
(fma.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(fma.f64 a #s(literal 1 binary64) (/.f64 (*.f64 rand a) (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))
(fma.f64 a (/.f64 (/.f64 (*.f64 rand (*.f64 rand a)) (*.f64 a #s(literal 9 binary64))) (fma.f64 rand (/.f64 a (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 rand (/.f64 a (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) a)))))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (/.f64 (*.f64 rand a) (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))
(fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a a)
(fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 rand (*.f64 a a)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (fma.f64 rand (/.f64 a (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 rand (/.f64 a (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) a)))))
(fma.f64 (/.f64 (*.f64 rand a) (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 rand a) (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (fma.f64 rand (/.f64 a (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 rand (/.f64 a (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) a)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (/.f64 a (sqrt.f64 a))) a)
(fma.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) a) a)
(fma.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 a (*.f64 (sqrt.f64 a) #s(literal -3 binary64))) a)
(fma.f64 (*.f64 a a) (/.f64 (/.f64 (*.f64 rand rand) (*.f64 a #s(literal 9 binary64))) (fma.f64 rand (/.f64 a (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 rand (/.f64 a (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) a)))))
(fma.f64 (/.f64 (*.f64 rand (*.f64 rand (*.f64 a a))) (*.f64 a #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 rand (/.f64 a (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 rand (/.f64 a (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) a)))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 rand (*.f64 rand (*.f64 a a))) (*.f64 a #s(literal 9 binary64))) (/.f64 (*.f64 (*.f64 rand (*.f64 rand (*.f64 a a))) (*.f64 rand (*.f64 rand (*.f64 a a)))) (*.f64 (*.f64 a #s(literal 9 binary64)) (*.f64 a #s(literal 9 binary64))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a (fma.f64 a (/.f64 (*.f64 rand rand) (*.f64 a #s(literal 9 binary64))) (+.f64 a (/.f64 (*.f64 rand a) (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))))) (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 rand (*.f64 rand rand))) (*.f64 (*.f64 a (sqrt.f64 a)) #s(literal 27 binary64))) (*.f64 a (*.f64 a a)))))
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(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 rand (*.f64 rand (*.f64 a a))) (*.f64 a #s(literal 9 binary64))) (/.f64 (*.f64 (*.f64 rand (*.f64 rand (*.f64 a a))) (*.f64 rand (*.f64 rand (*.f64 a a)))) (*.f64 (*.f64 a #s(literal 9 binary64)) (*.f64 a #s(literal 9 binary64))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 rand (*.f64 rand rand))) (*.f64 (*.f64 a (sqrt.f64 a)) #s(literal 27 binary64))) (*.f64 a (*.f64 a a))) (*.f64 a (fma.f64 a (/.f64 (*.f64 rand rand) (*.f64 a #s(literal 9 binary64))) (+.f64 a (/.f64 (*.f64 rand a) (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))))))
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(/.f64 (*.f64 (*.f64 (fma.f64 rand (*.f64 (*.f64 a #s(literal 1/9 binary64)) rand) (*.f64 a a)) (-.f64 (*.f64 rand (*.f64 (*.f64 a #s(literal 1/9 binary64)) rand)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) a)))) (fma.f64 rand (*.f64 (*.f64 a #s(literal 1/9 binary64)) rand) (*.f64 a a)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) a)) #s(literal -1 binary64))
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(*.f64 (/.f64 (-.f64 (*.f64 rand (*.f64 (*.f64 a #s(literal 1/9 binary64)) rand)) (*.f64 a a)) (-.f64 (*.f64 rand (*.f64 (*.f64 a #s(literal 1/9 binary64)) rand)) (*.f64 a a))) (fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) a))
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(/.f64 rand #s(literal 3 binary64))
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(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (sqrt.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/3 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (sqrt.f64 (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (neg.f64 (sqrt.f64 (+.f64 a #s(literal 1/3 binary64)))))
(pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)))
(+.f64 a #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) a)
(+.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)))
(fma.f64 a #s(literal 1 binary64) #s(literal -1/3 binary64))
(fma.f64 a (/.f64 a (+.f64 a #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64)))))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -1/3 binary64))
(fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64)))))
(fma.f64 #s(literal 1 binary64) a #s(literal -1/3 binary64))
(fma.f64 (pow.f64 a #s(literal 1/4 binary64)) (*.f64 (pow.f64 a #s(literal 1/4 binary64)) (sqrt.f64 a)) #s(literal -1/3 binary64))
(fma.f64 (*.f64 (sqrt.f64 a) (pow.f64 a #s(literal 1/4 binary64))) (pow.f64 a #s(literal 1/4 binary64)) #s(literal -1/3 binary64))
(fma.f64 (/.f64 (*.f64 a a) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal -1/3 binary64)) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 (*.f64 a a) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (fma.f64 a a (fma.f64 a #s(literal -1/3 binary64) #s(literal 1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64)))))
(neg.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(neg.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/3 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) #s(literal -1/19683 binary64)) (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal 1/729 binary64)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal -1/729 binary64)) (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal -1/729 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(/.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1/81 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal 1/9 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) #s(literal -1/19683 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal 1/729 binary64)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64)) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1/81 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 a a #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal -1/9 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (neg.f64 (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64)))) (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))))) (fma.f64 a (/.f64 a (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) #s(literal -1/19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (-.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal 1/729 binary64)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64)))) (fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64)))) (fma.f64 a a #s(literal 1/9 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (fma.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (fma.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 (fma.f64 a (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(*.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (fma.f64 a a (fma.f64 a #s(literal -1/3 binary64) #s(literal 1/9 binary64))))

simplify550.0ms (4.6%)

Memory
-20.5MiB live, 1 004.0MiB allocated
Algorithm
1×egg-herbie
Rules
20 424×accelerator-lowering-fma.f32
20 424×accelerator-lowering-fma.f64
5 244×*-lowering-*.f32
5 244×*-lowering-*.f64
2 980×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02282084
17031919
225781894
355361880
084821782
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 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))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (sqrt -1/3))
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))
(* (sqrt a) rand)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
Outputs
a
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.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) 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) 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) 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) 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) rand)
(*.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) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
a
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
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(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
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(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
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(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
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(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
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(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 (* rand (sqrt -1/3)))
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(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a rand)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(fma.f64 a (fma.f64 a (fma.f64 a (/.f64 (*.f64 rand #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 rand #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (*.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (*.f64 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) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 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 a (*.f64 rand (+.f64 (fma.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(*.f64 (*.f64 a rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(*.f64 a (*.f64 rand (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) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(*.f64 a (*.f64 rand (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/1296 binary64))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* 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 (sqrt -1/3))
(*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(fma.f64 a (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
(fma.f64 a (fma.f64 rand (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 a rand) #s(literal 3/8 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))
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(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
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(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
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(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -1 (* (sqrt a) (* 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 a rand) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(*.f64 a (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(*.f64 a (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/432 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* rand (sqrt (- a 1/3)))
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(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* rand (sqrt (- a 1/3)))
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(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* rand (sqrt (- a 1/3)))
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(* rand (sqrt (- a 1/3)))
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(* rand (sqrt (- a 1/3)))
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(* rand (sqrt (- a 1/3)))
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(* rand (sqrt (- a 1/3)))
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(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (fma.f64 a (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
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(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 a (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (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 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/432 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)

eval84.0ms (0.7%)

Memory
26.1MiB live, 169.6MiB allocated
Compiler

Compiled 12 643 to 1 397 computations (89% saved)

prune120.0ms (1%)

Memory
26.2MiB live, 176.6MiB allocated
Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New6476653
Fresh325
Picked055
Done022
Total65015665
Accuracy
100.0%
Counts
665 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a a)
✓97.7%
(fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a a)
97.7%
(fma.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 a #s(literal 1/3 binary64)) a)
97.7%
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a) a)
97.7%
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
✓97.7%
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
✓66.3%
(+.f64 a #s(literal -1/3 binary64))
✓99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
✓35.1%
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64))
35.2%
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
34.0%
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
34.0%
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
✓33.9%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
65.4%
a
✓1.6%
#s(literal -1/3 binary64)
Compiler

Compiled 568 to 219 computations (61.4% saved)

regimes59.0ms (0.5%)

Memory
-31.9MiB live, 100.4MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a) a)
(*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a)
(fma.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 a #s(literal 1/3 binary64)) a)
(fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a a)
(fma.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a a)
(*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) a) a)
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))))
(*.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(*.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) a) (*.f64 #s(literal 9 binary64) a)) #s(literal 9 binary64))) (sqrt.f64 (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64))))) rand)))
Outputs
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))))
Calls

4 calls:

24.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
11.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
11.0ms
a
10.0ms
rand
Results
AccuracySegmentsBranch
99.9%1a
99.9%1rand
99.9%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
99.9%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes30.0ms (0.2%)

Memory
-6.3MiB live, 69.7MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a) a)
(*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a)
(fma.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 a #s(literal 1/3 binary64)) a)
(fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a a)
(fma.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a a)
(*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) a) a)
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
Outputs
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
Calls

3 calls:

9.0ms
rand
8.0ms
a
8.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
99.9%1a
99.9%1rand
99.9%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes17.0ms (0.1%)

Memory
2.3MiB live, 44.2MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a) a)
(*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a)
(fma.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 a #s(literal 1/3 binary64)) a)
(fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a a)
(fma.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a a)
(*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) a) a)
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
Outputs
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
Calls

2 calls:

9.0ms
a
7.0ms
rand
Results
AccuracySegmentsBranch
99.9%1a
99.9%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
29.1MiB live, 29.1MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64))
Outputs
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
Calls

2 calls:

4.0ms
a
4.0ms
rand
Results
AccuracySegmentsBranch
97.7%1a
97.7%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-17.5MiB live, 22.0MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a))
Outputs
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
Calls

2 calls:

4.0ms
a
3.0ms
rand
Results
AccuracySegmentsBranch
93.7%3rand
66.3%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
9.9MiB live, 10.0MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
Outputs
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
Calls

1 calls:

3.0ms
rand
Results
AccuracySegmentsBranch
93.7%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
Outputs
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(+.f64 a #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
Calls

1 calls:

2.0ms
rand
Results
AccuracySegmentsBranch
93.7%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
-32.3MiB live, 7.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
Outputs
(+.f64 a #s(literal -1/3 binary64))
Calls

1 calls:

2.0ms
rand
Results
AccuracySegmentsBranch
66.3%1rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
Outputs
a
Calls

2 calls:

2.0ms
rand
2.0ms
a
Results
AccuracySegmentsBranch
65.4%1a
65.4%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
10.1MiB live, 10.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
Outputs
#s(literal -1/3 binary64)
Calls

2 calls:

1.0ms
rand
1.0ms
a
Results
AccuracySegmentsBranch
1.6%1a
1.6%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch34.0ms (0.3%)

Memory
-8.5MiB live, 69.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
6.45868000435738e+83
1.1195859975267044e+89
14.0ms
-1.0601204147024293e+72
-1.71301048494773e+69
Samples
20.0ms272×0valid
Compiler

Compiled 280 to 222 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 5.0ms (35.9% of total)
ival-mult: 4.0ms (28.7% of total)
ival-sqrt: 2.0ms (14.4% of total)
ival-sub: 1.0ms (7.2% of total)
ival-add: 1.0ms (7.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Memory
21.6MiB live, 60.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
6.45868000435738e+83
1.1195859975267044e+89
13.0ms
-1.0601204147024293e+72
-1.71301048494773e+69
Samples
21.0ms272×0valid
Compiler

Compiled 280 to 222 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 4.0ms (27.7% of total)
ival-mult: 4.0ms (27.7% of total)
ival-add: 2.0ms (13.9% of total)
ival-sqrt: 2.0ms (13.9% of total)
ival-sub: 1.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Memory
-22.8MiB live, 54.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
6.45868000435738e+83
1.1195859975267044e+89
15.0ms
-1.0601204147024293e+72
-1.71301048494773e+69
Samples
19.0ms272×0valid
Compiler

Compiled 280 to 222 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (30.4% of total)
ival-mult: 4.0ms (30.4% of total)
ival-sqrt: 2.0ms (15.2% of total)
ival-sub: 1.0ms (7.6% of total)
ival-add: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Memory
21.8MiB live, 21.8MiB allocated
Algorithm
1×egg-herbie
Rules
46×neg-mul-1_binary64
40×unsub-neg_binary64
34×*-commutative_binary64
24×+-commutative_binary64
18×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050106
184106
2103106
3118106
4131106
5165106
6213106
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
(if (<=.f64 rand #s(literal -22499999999999999716337892502046717390629640279160264475735825768775680 binary64)) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (if (<=.f64 rand #s(literal 919999999999999979814226171616884724748004720234983573837165684865578198693750767616 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
(if (<=.f64 rand #s(literal -23999999999999998675763391424923926311106931530898159694958799364292608 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 780000000000000032117181320298092326460901117365507303590643330503600829603468279808 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))))
(if (<=.f64 rand #s(literal -3150000000000000036912081993580983352605500996597896207539971716808704 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 650000000000000026764317766915076938717417597804589419658869442086334024669556899840 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
Outputs
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))))
(*.f64 (+.f64 a (/.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
(if (<=.f64 rand #s(literal -22499999999999999716337892502046717390629640279160264475735825768775680 binary64)) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) (if (<=.f64 rand #s(literal 919999999999999979814226171616884724748004720234983573837165684865578198693750767616 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
(if (<=.f64 rand #s(literal -22499999999999999716337892502046717390629640279160264475735825768775680 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (if (<=.f64 rand #s(literal 919999999999999979814226171616884724748004720234983573837165684865578198693750767616 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -23999999999999998675763391424923926311106931530898159694958799364292608 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 780000000000000032117181320298092326460901117365507303590643330503600829603468279808 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))))
(if (<=.f64 rand #s(literal -23999999999999998675763391424923926311106931530898159694958799364292608 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (if (<=.f64 rand #s(literal 780000000000000032117181320298092326460901117365507303590643330503600829603468279808 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -3150000000000000036912081993580983352605500996597896207539971716808704 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 650000000000000026764317766915076938717417597804589419658869442086334024669556899840 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)

soundness1.4s (12.1%)

Memory
-7.1MiB live, 741.4MiB allocated
Rules
15 108×accelerator-lowering-fma.f32
15 108×accelerator-lowering-fma.f64
12 388×accelerator-lowering-fma.f32
12 388×accelerator-lowering-fma.f64
7 680×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044194
1257184
22598184
08407170
01964
18564
257964
3739364
0805362
04333961
113523576
248143539
081053233
027109
1154106
21251104
0822596
07237589
123706766
279296766
080146288
01233
14829
224729
3164429
0840126
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 505 to 346 computations (31.5% saved)

preprocess88.0ms (0.7%)

Memory
-32.5MiB live, 163.9MiB allocated
Compiler

Compiled 290 to 124 computations (57.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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