Octave 3.8, oct_fill_randg

Time bar (total: 11.5s)

analyze14.0ms (0.1%)

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

Compiled 22 to 15 computations (31.8% saved)

sample1.2s (10.7%)

Memory
-2.3MiB live, 2 011.0MiB allocated
Samples
860.0ms8 256×0valid
72.0ms487×0invalid
Precisions
Click to see histograms. Total time spent on operations: 681.0ms
ival-mult: 244.0ms (35.8% of total)
ival-div: 227.0ms (33.3% of total)
ival-add: 81.0ms (11.9% of total)
ival-sqrt: 66.0ms (9.7% of total)
ival-sub: 44.0ms (6.5% of total)
exact: 10.0ms (1.5% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess348.0ms (3%)

Memory
15.3MiB live, 209.1MiB 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)))
(*.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))))))
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))))))

explain433.0ms (3.7%)

Memory
8.0MiB live, 300.8MiB 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
149.0ms472×0valid
4.0ms18×2valid
3.0ms20×1valid
1.0ms2×5exit
Compiler

Compiled 216 to 56 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 9.0ms (30.7% of total)
ival-div: 8.0ms (27.3% of total)
ival-sqrt: 4.0ms (13.6% of total)
ival-sub: 3.0ms (10.2% of total)
ival-add: 3.0ms (10.2% of total)
adjust: 1.0ms (3.4% of total)
exact: 1.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB 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)

simplify292.0ms (2.5%)

Memory
-26.3MiB live, 91.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
✓cost-diff128
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
Rules
2 560×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)))
(*.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
#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

localize51.0ms (0.4%)

Memory
32.4MiB live, 71.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
Samples
30.0ms236×0valid
2.0ms9×2valid
2.0ms10×1valid
0.0ms1×5exit
Compiler

Compiled 86 to 15 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 14.0ms (56.4% of total)
ival-mult: 5.0ms (20.1% of total)
ival-sqrt: 2.0ms (8.1% of total)
adjust: 1.0ms (4% of total)
ival-sub: 1.0ms (4% of total)
ival-add: 1.0ms (4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series53.0ms (0.5%)

Memory
-14.2MiB live, 24.0MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#<alt (/ 1 3)>
#<alt (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)>
#<alt (* 9 (- a (/ 1 3)))>
#<alt (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))>
#<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 (+ 1 (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))>
#<alt (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* 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

21 calls:

TimeVariablePointExpression
40.0ms
a
@-inf
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
2.0ms
rand
@0
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
1.0ms
a
@inf
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
1.0ms
a
@-inf
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
1.0ms
a
@0
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)

rewrite463.0ms (4%)

Memory
8.4MiB live, 404.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 424×accelerator-lowering-fma.f32
4 424×accelerator-lowering-fma.f64
3 964×*-lowering-*.f32
3 964×*-lowering-*.f64
2 572×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01446
17040
253740
3648040
0816036
Stop Event
1×iter limit
1×node limit
Counts
6 → 428
Calls
Call 1
Inputs
(/ 1 3)
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
(* 9 (- a (/ 1 3)))
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
(sqrt (* 9 (- a (/ 1 3))))
Outputs
#s(literal 1/3 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) rand)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) #s(literal 1 binary64)))
(neg.f64 (/.f64 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) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(/.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) rand)))
(/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(/.f64 (neg.f64 rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 rand)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 rand #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (/.f64 rand (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (/.f64 (neg.f64 rand) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (/.f64 (neg.f64 rand) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) rand) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand)
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 1 binary64)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))
(*.f64 #s(literal -1/3 binary64) (/.f64 rand (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)))
(*.f64 (neg.f64 rand) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) (/.f64 rand (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)))
(*.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (*.f64 rand (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))
(+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))
(+.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64))
(exp.f64 (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64))))
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)) #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)) #s(literal -1/3 binary64)) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64)) (+.f64 #s(literal 1/3 binary64) a))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)) #s(literal -1/3 binary64))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64))) (+.f64 #s(literal -1/3 binary64) (neg.f64 a)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)) #s(literal -27 binary64)) (fma.f64 (*.f64 #s(literal 9 binary64) a) (*.f64 #s(literal 9 binary64) a) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) a) (*.f64 #s(literal 9 binary64) a)) #s(literal 9 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64)))
(/.f64 (*.f64 #s(literal 9 binary64) (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(/.f64 (*.f64 #s(literal 9 binary64) (neg.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (+.f64 #s(literal -1/3 binary64) (neg.f64 a)))
(/.f64 (*.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) #s(literal 9 binary64)) (neg.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))) #s(literal 9 binary64)) (+.f64 #s(literal -1/3 binary64) (neg.f64 a)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)) #s(literal -1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 #s(literal 9 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))
(*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) #s(literal 9 binary64)))
(*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 9 binary64)))
(*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(*.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 9 binary64))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)) #s(literal -1/3 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)) #s(literal -1/3 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (-.f64 (*.f64 a a) (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) a)))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
(+.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a))
(+.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (*.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(+.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a) #s(literal -1/3 binary64))
(+.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal -1/3 binary64)) a)
(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(-.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))) (/.f64 (*.f64 (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
(-.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a) #s(literal 1/3 binary64))
(-.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(-.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(fma.f64 #s(literal 1 binary64) a (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 a #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand a) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) a (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) #s(literal -1/3 binary64) (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 rand (/.f64 rand (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (fma.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))) a) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 rand (/.f64 rand (fma.f64 #s(literal 9 binary64) a #s(literal -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 -1/3 binary64)) (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) a) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) a) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (/.f64 #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))) #s(literal -1/3 binary64)) (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 rand (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 rand (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) rand) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) rand) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (neg.f64 a))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 rand #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/3 binary64) a))))
(*.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 #s(literal 9 binary64) a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #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 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 rand (/.f64 rand (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (fma.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
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(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))) (fma.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (*.f64 (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (*.f64 (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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64)))) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(*.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(*.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))) (fma.f64 rand (fma.f64 rand (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (-.f64 (*.f64 a a) (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (fma.f64 a a #s(literal -1/9 binary64))) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (fma.f64 a a #s(literal -1/9 binary64))) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) a)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(/.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal -1/4 binary64))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64)))
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(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64))
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(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))
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(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1/4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
(neg.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) #s(literal -1 binary64))
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(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) #s(literal 3 binary64)) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))
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(pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -3 binary64) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64)))

simplify491.0ms (4.3%)

Memory
18.1MiB live, 725.6MiB allocated
Algorithm
1×egg-herbie
Rules
13 334×accelerator-lowering-fma.f32
13 334×accelerator-lowering-fma.f64
5 788×*-lowering-*.f32
5 788×*-lowering-*.f64
5 386×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03331781
110131561
233781491
379251491
083211388
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* 1/3 (* rand (sqrt -3)))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
-3
(- (* 9 a) 3)
(- (* 9 a) 3)
(- (* 9 a) 3)
(* 9 a)
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* 9 a)
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* 1/3 (sqrt -3))
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))
(* 1/3 (sqrt (/ 1 a)))
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(* 3 (sqrt -1/3))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(* 3 (sqrt a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
Outputs
(* 1/3 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 rand a)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 rand (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (*.f64 #s(literal -27/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 405/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 #s(literal -27/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (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 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(-.f64 (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 a)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 a (*.f64 a a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
-3
#s(literal -3 binary64)
(- (* 9 a) 3)
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(- (* 9 a) 3)
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(- (* 9 a) 3)
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 a (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 a (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 a (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 rand (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) a)) (fma.f64 a (*.f64 #s(literal 9/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)))) (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) a)) (fma.f64 a (fma.f64 a (*.f64 #s(literal 45/16 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (*.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (+.f64 #s(literal 1/18 binary64) (*.f64 #s(literal -1/6 binary64) a)))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1 binary64)))) (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) a))) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) a))) a)
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (/.f64 a (sqrt.f64 #s(literal -9 binary64))) a)
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64))) (neg.f64 a))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(*.f64 a (+.f64 (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/2 binary64) #s(literal -1/3 binary64)) a)))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(*.f64 a (+.f64 (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (sqrt.f64 a) (/.f64 (*.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -9 binary64))) #s(literal 0 binary64)) a)) a)))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* 1/3 (sqrt -3))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))
(fma.f64 #s(literal -3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)) (*.f64 a (fma.f64 a (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 a (fma.f64 a (/.f64 #s(literal -135/16 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))
(fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 a)) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -9 binary64))))) (neg.f64 (*.f64 a (*.f64 a a)))))
(* 3 (sqrt -1/3))
(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(fma.f64 a (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(fma.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (fma.f64 a (/.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (fma.f64 a (/.f64 #s(literal 3/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 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) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (neg.f64 (sqrt.f64 a)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(*.f64 a (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(neg.f64 (*.f64 a (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
(*.f64 a (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/432 binary64)))))))

eval104.0ms (0.9%)

Memory
-12.8MiB live, 179.3MiB allocated
Compiler

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

prune89.0ms (0.8%)

Memory
-0.6MiB live, 225.6MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New50211513
Fresh000
Picked101
Done000
Total50311514
Accuracy
100.0%
Counts
514 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.9%
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 rand (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
▶99.8%
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
▶99.9%
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
▶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)))
98.0%
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
99.5%
(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)))
90.2%
(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
▶64.0%
(+.f64 a #s(literal -1/3 binary64))
99.8%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
36.2%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
▶79.7%
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
Compiler

Compiled 318 to 212 computations (33.3% saved)

simplify510.0ms (4.4%)

Memory
0.3MiB live, 834.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
✓cost-diff64
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff0
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))
✓cost-diff704
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
✓cost-diff0
(*.f64 #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
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓cost-diff192
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
Rules
12 584×accelerator-lowering-fma.f32
12 584×accelerator-lowering-fma.f64
5 264×+-lowering-+.f64
5 264×+-lowering-+.f32
4 850×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025154
158154
2110154
3151150
4221150
5416150
6691150
71599150
84498150
95838150
106302150
116680150
126781150
136831150
146885150
08306142
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (/ (+ a -1/3) (sqrt (+ a -1/3))) (* rand 1/3)) (+ a -1/3))
(/ (+ a -1/3) (sqrt (+ a -1/3)))
(+ a -1/3)
a
-1/3
(sqrt (+ a -1/3))
(* rand 1/3)
rand
1/3
(+ a -1/3)
a
-1/3
(+ (* (sqrt (+ a -1/3)) (* 1/3 rand)) (+ a -1/3))
(sqrt (+ a -1/3))
(+ a -1/3)
a
-1/3
(* 1/3 rand)
1/3
rand
(* rand (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)))
rand
(+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand))
1/3
(sqrt (+ a -1/3))
(+ a -1/3)
a
-1/3
(/ (+ a -1/3) rand)
(+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3))
(/ (+ a -1/3) (sqrt (+ (* 9 a) -3)))
(+ a -1/3)
a
-1/3
(sqrt (+ (* 9 a) -3))
(+ (* 9 a) -3)
9
-3
rand
Outputs
(+ (* (/ (+ a -1/3) (sqrt (+ a -1/3))) (* rand 1/3)) (+ a -1/3))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(/ (+ a -1/3) (sqrt (+ a -1/3)))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
(sqrt (+ a -1/3))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(* rand 1/3)
(*.f64 rand #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
#s(literal -1/3 binary64)
(+ (* (sqrt (+ a -1/3)) (* 1/3 rand)) (+ a -1/3))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(sqrt (+ a -1/3))
(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 -1/3))) (/ (+ a -1/3) rand)))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
rand
(+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))
1/3
#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)
(/ (+ a -1/3) rand)
(/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
(+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3))
(*.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)))
(/ (+ a -1/3) (sqrt (+ (* 9 a) -3)))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (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)
(sqrt (+ (* 9 a) -3))
(sqrt.f64 (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
#s(literal 9 binary64)
-3
#s(literal -3 binary64)
rand

localize99.0ms (0.9%)

Memory
8.8MiB live, 241.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy99.9%
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.8%
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
✓accuracy99.5%
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy100.0%
(/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
✓accuracy99.8%
(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))
✓accuracy79.8%
(*.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)))
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.9%
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) rand)
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.9%
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.5%
(*.f64 rand #s(literal 1/3 binary64))
✓accuracy99.2%
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
Samples
51.0ms237×0valid
5.0ms10×1valid
4.0ms9×2valid
Compiler

Compiled 149 to 27 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 13.0ms (33.5% of total)
ival-add: 8.0ms (20.6% of total)
const: 7.0ms (18% of total)
ival-div: 5.0ms (12.9% of total)
ival-sqrt: 4.0ms (10.3% of total)
adjust: 1.0ms (2.6% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series28.0ms (0.2%)

Memory
9.5MiB live, 51.4MiB allocated
Counts
13 → 228
Calls
Call 1
Inputs
#<alt (+ (* (/ (+ a -1/3) (sqrt (+ a -1/3))) (* rand 1/3)) (+ a -1/3))>
#<alt (/ (+ a -1/3) (sqrt (+ a -1/3)))>
#<alt (+ a -1/3)>
#<alt (sqrt (+ a -1/3))>
#<alt (+ (* (sqrt (+ a -1/3)) (* 1/3 rand)) (+ a -1/3))>
#<alt (* 1/3 rand)>
#<alt (* rand (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)))>
#<alt (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand))>
#<alt (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3))>
#<alt (/ (+ a -1/3) (sqrt (+ (* 9 a) -3)))>
#<alt (sqrt (+ (* 9 a) -3))>
#<alt (* rand 1/3)>
#<alt (/ (+ a -1/3) rand)>
Outputs
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (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 (sqrt a)>
#<alt (* -1 (* a (+ (* -1 (sqrt (/ 1 a))) (* -1/6 (sqrt (/ 1 (pow a 3)))))))>
#<alt (* -1 (* a (+ (* -1 (sqrt (/ 1 a))) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* 1/72 (sqrt (/ 1 (pow a 5))))))))>
#<alt (* -1 (* a (+ (* -1 (sqrt (/ 1 a))) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/432 (sqrt (/ 1 (pow a 7)))) (* 1/72 (sqrt (/ 1 (pow a 5)))))))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* 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 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))>
#<alt (+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))>
#<alt (+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))>
#<alt (+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))>
#<alt (* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))>
#<alt (* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))>
#<alt (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))>
#<alt (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))>
#<alt (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))>
#<alt (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)>
#<alt (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)>
#<alt (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)>
#<alt (* 1/3 (sqrt (- a 1/3)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (* 1/3 (sqrt (- a 1/3)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (* -1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1/3 (sqrt -1/3))>
#<alt (+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))>
#<alt (+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))))>
#<alt (+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (+ (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/6 (/ (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (sqrt -1/3)))))) (* 1/2 (/ 1 (sqrt -1/3)))))))))>
#<alt (* 1/3 (sqrt a))>
#<alt (* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))))>
#<alt (* 1/3 (sqrt a))>
#<alt (* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/9 (sqrt (/ 1 (pow a 3)))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1/9 (sqrt (/ 1 a))) (* -1/18 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 a))) (* 1/18 (sqrt a)))) a)) (* -1/9 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))>
#<alt (sqrt -3)>
#<alt (+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))>
#<alt (+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))>
#<alt (+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))>
#<alt (* 3 (sqrt a))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))>
#<alt (* 1/3 rand)>
#<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 rand) (* 1/3 (/ 1 rand)))>
#<alt (- (/ a rand) (* 1/3 (/ 1 rand)))>
#<alt (- (/ a rand) (* 1/3 (/ 1 rand)))>
#<alt (/ a rand)>
#<alt (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))>
#<alt (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))>
#<alt (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))>
#<alt (/ a rand)>
#<alt (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
Calls

57 calls:

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

rewrite456.0ms (3.9%)

Memory
-15.3MiB live, 656.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 596×/-lowering-/.f32
4 596×/-lowering-/.f64
4 356×accelerator-lowering-fma.f32
4 356×accelerator-lowering-fma.f64
4 218×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025120
1153120
21427104
0901996
Stop Event
1×iter limit
1×node limit
Counts
13 → 935
Calls
Call 1
Inputs
(+ (* (/ (+ a -1/3) (sqrt (+ a -1/3))) (* rand 1/3)) (+ a -1/3))
(/ (+ a -1/3) (sqrt (+ a -1/3)))
(+ a -1/3)
(sqrt (+ a -1/3))
(+ (* (sqrt (+ a -1/3)) (* 1/3 rand)) (+ a -1/3))
(* 1/3 rand)
(* rand (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)))
(+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand))
(+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3))
(/ (+ a -1/3) (sqrt (+ (* 9 a) -3)))
(sqrt (+ (* 9 a) -3))
(* rand 1/3)
(/ (+ a -1/3) rand)
Outputs
(+.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a)
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a)) (-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal -1 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1/3 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (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 (+.f64 a #s(literal -1/3 binary64)) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1/3 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64)) (*.f64 rand (*.f64 rand rand))))))
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(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64))))
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(/.f64 (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal 1/3 binary64))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))))
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(/.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a a #s(literal -1/9 binary64))))) (neg.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64)) (*.f64 rand (*.f64 rand rand)))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand))))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)))) (neg.f64 (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))))
(/.f64 (fma.f64 a (*.f64 a a) (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))) (*.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a)))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a)) (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (*.f64 a (*.f64 a a))) (fma.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) (-.f64 (*.f64 a a) (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a))))
(pow.f64 (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64)) (*.f64 rand (*.f64 rand rand))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1 binary64))
(*.f64 (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 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64)) (*.f64 rand (*.f64 rand rand)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)))))
(*.f64 (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
(+.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal -1 binary64)) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal -1 binary64)) (/.f64 rand rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
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(fma.f64 (/.f64 rand (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1/3 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)) #s(literal 1 binary64)))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (-.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)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 (*.f64 rand #s(literal 1/3 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)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64)) (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand) (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 rand (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64))))))
(/.f64 (*.f64 rand (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)))) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(/.f64 (*.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))) rand) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand))) rand) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64)) (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand) (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64))))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 rand (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))))) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (*.f64 rand (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand))))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))) rand)) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand))) rand)) (neg.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))))
(/.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64)) (*.f64 rand (*.f64 rand rand)))) (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))))))
(*.f64 rand (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) rand)
(+.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))
(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))) (/.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))
(fma.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (/.f64 #s(literal 1 binary64) (neg.f64 rand)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))) (+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64))))) (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)))))
(/.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand))) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64))))) (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))))) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))))) (neg.f64 (+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))))
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))) (*.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)))) (*.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))))
(pow.f64 (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64))))) (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/27 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))))))
(*.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))))
(+.f64 a (+.f64 #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 #s(literal -1/3 binary64) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.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 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64))
(+.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal -1/3 binary64)) a)
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (/.f64 (*.f64 (+.f64 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 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 (*.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) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(-.f64 (/.f64 (*.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)) (-.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (*.f64 (+.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 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)))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.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 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (+.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 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 (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 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (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 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (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 rand #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (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 (+.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) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (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) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.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) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 (*.f64 rand (*.f64 rand rand)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (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 #s(literal 1 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 a #s(literal -1/3 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.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))))
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(/.f64 (fma.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (*.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)) #s(literal -1/27 binary64)) (fma.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64)))))
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(/.f64 (-.f64 (*.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)) #s(literal 1/9 binary64)) (-.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (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 a #s(literal -1/3 binary64))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) rand)) (*.f64 (-.f64 (fma.f64 a 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))) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (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 (+.f64 a #s(literal -1/3 binary64)) rand)) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 a 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))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand))))
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(/.f64 (fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (neg.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
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(/.f64 (fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) rand))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
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(/.f64 (fma.f64 rand (-.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 rand (+.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 rand (/.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 rand (/.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 rand (+.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))))
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(/.f64 (fma.f64 rand (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)))))
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(/.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 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (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 (+.f64 a #s(literal -1/3 binary64)) rand)) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 #s(literal 1 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 (+.f64 a #s(literal -1/3 binary64)) rand)) (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 (+.f64 a #s(literal -1/3 binary64)) rand)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64))))))
(/.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))) (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 (+.f64 a #s(literal -1/3 binary64)) rand)) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (/.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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(/.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.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))) #s(literal 1 binary64))) (*.f64 (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))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.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))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (neg.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))) (neg.f64 (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))) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (neg.f64 (+.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))))) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (neg.f64 (+.f64 a #s(literal 1/3 binary64)))))
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(/.f64 (fma.f64 (neg.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (/.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 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (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))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
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(/.f64 (fma.f64 (neg.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (neg.f64 (+.f64 a #s(literal 1/3 binary64))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 (+.f64 a #s(literal 1/3 binary64)))))
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(/.f64 (fma.f64 (*.f64 rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (*.f64 rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a))) (/.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 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (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))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a))) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a))) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -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 (+.f64 #s(literal 1/3 binary64) (neg.f64 a))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a))) (-.f64 #s(literal -1/3 binary64) a) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (neg.f64 (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 #s(literal 1 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 #s(literal 1 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 #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (/.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 #s(literal 1 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 #s(literal 1 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 #s(literal 1 binary64)) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (/.f64 (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 #s(literal 1 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 #s(literal 1 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 1/3 binary64) (neg.f64 a)) rand) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) rand) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) rand) (/.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 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (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))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) rand) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) rand) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) rand) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -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 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) rand) (neg.f64 (+.f64 a #s(literal 1/3 binary64))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) rand) (-.f64 #s(literal -1/3 binary64) a) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) rand) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (/.f64 (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 #s(literal 1 binary64) rand) (+.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 #s(literal 1 binary64) rand) (/.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 #s(literal 1 binary64) rand) (/.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 #s(literal 1 binary64) rand) (+.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 #s(literal 1 binary64) rand) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (/.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 #s(literal 1 binary64) rand) (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 #s(literal 1 binary64) rand) (-.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 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (/.f64 (*.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 (*.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 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 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 (neg.f64 (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))) (neg.f64 (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))) (neg.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
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(/.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 (-.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (*.f64 a #s(literal -27 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (sqrt.f64 (+.f64 #s(literal 9 binary64) (-.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 (-.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (*.f64 a #s(literal -27 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64)))) (sqrt.f64 (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 (-.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (*.f64 a #s(literal -27 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
(pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1/4 binary64))
(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) (-.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (*.f64 a #s(literal -27 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (*.f64 a #s(literal -27 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
(exp.f64 (*.f64 (log.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) rand) (/.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) rand))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 rand)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 rand)))
(-.f64 (/.f64 (*.f64 a a) (*.f64 rand (+.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (*.f64 rand (+.f64 a #s(literal 1/3 binary64)))))
(neg.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 rand)))
(neg.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) rand))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
(/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (neg.f64 rand))
(/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (*.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 rand (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) rand)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) rand))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(/.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a))) (neg.f64 (neg.f64 rand)))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (neg.f64 (*.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))) (neg.f64 (*.f64 rand (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) rand)) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) rand)))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand)))
(/.f64 (neg.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64))) (neg.f64 rand))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (neg.f64 (neg.f64 (neg.f64 rand))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) rand))) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) rand))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))))
(pow.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand))
(*.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (/.f64 #s(literal 1 binary64) (neg.f64 rand)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))
(*.f64 (/.f64 #s(literal 1 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) rand) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (pow.f64 (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))

simplify1.1s (9.8%)

Memory
21.7MiB live, 536.4MiB allocated
Algorithm
1×egg-herbie
Rules
11 298×accelerator-lowering-fma.f32
11 298×accelerator-lowering-fma.f64
5 018×*-lowering-*.f32
5 018×*-lowering-*.f64
3 704×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05863599
118203285
261513201
081502945
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(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))))))))
(sqrt a)
(* -1 (* a (+ (* -1 (sqrt (/ 1 a))) (* -1/6 (sqrt (/ 1 (pow a 3)))))))
(* -1 (* a (+ (* -1 (sqrt (/ 1 a))) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* 1/72 (sqrt (/ 1 (pow a 5))))))))
(* -1 (* a (+ (* -1 (sqrt (/ 1 a))) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/432 (sqrt (/ 1 (pow a 7)))) (* 1/72 (sqrt (/ 1 (pow a 5)))))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))
(* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))
(* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))
(* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))
(/ (- a 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(* 1/3 (sqrt (- a 1/3)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(* 1/3 (sqrt (- a 1/3)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (* -1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(- a 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1/3 (sqrt -1/3))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (+ (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/6 (/ (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (sqrt -1/3)))))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(* 1/3 (sqrt a))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))))
(* 1/3 (sqrt a))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/9 (sqrt (/ 1 (pow a 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/9 (sqrt (/ 1 a))) (* -1/18 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 a))) (* 1/18 (sqrt a)))) a)) (* -1/9 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(sqrt -3)
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))
(* 3 (sqrt a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(/ -1/3 rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(/ a rand)
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(/ a rand)
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
Outputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(fma.f64 a (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 rand a) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal -1/18 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)) #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 a) #s(literal -1/3 binary64))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/18 binary64)) #s(literal -1/3 binary64)) a)) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 a (neg.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/216 binary64) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 a)))) a)) a))))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (fma.f64 #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 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))))))
(sqrt a)
(sqrt.f64 a)
(* -1 (* a (+ (* -1 (sqrt (/ 1 a))) (* -1/6 (sqrt (/ 1 (pow a 3)))))))
(*.f64 a (neg.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))))))
(* -1 (* a (+ (* -1 (sqrt (/ 1 a))) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* 1/72 (sqrt (/ 1 (pow a 5))))))))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (neg.f64 a))
(* -1 (* a (+ (* -1 (sqrt (/ 1 a))) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/432 (sqrt (/ 1 (pow a 7)))) (* 1/72 (sqrt (/ 1 (pow a 5)))))))))
(*.f64 (-.f64 (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) (*.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (neg.f64 a))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 #s(literal -1/3 binary64) 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 (/.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))))))))
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(* -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 (neg.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))))))
(* -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))))))
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(* -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)))))))
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(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(fma.f64 a (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 rand a) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal -1/18 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)) #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 a) #s(literal -1/3 binary64))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/18 binary64)) #s(literal -1/3 binary64)) a)) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 a (neg.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/216 binary64) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 a)))) a)) a))))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 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)
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(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand)))
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand)) (*.f64 a (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))))
(+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand)) (*.f64 a (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 rand a) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)))))
(+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(fma.f64 a (fma.f64 a (fma.f64 (/.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)))) (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand))))
(* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))
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(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))
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(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 a) #s(literal -1/3 binary64))
(* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/18 binary64)) #s(literal -1/3 binary64)) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
(*.f64 a (neg.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/216 binary64) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 a)))) a)) a))))
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal -1/3 binary64) rand))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))
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(* 1/3 (sqrt (- a 1/3)))
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(* 1/3 (sqrt (- a 1/3)))
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(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
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(- (* -1/3 (* rand (sqrt -1/3))) 1/3)
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(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)
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(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
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(fma.f64 a (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(fma.f64 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 1 binary64)) #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 rand (+.f64 #s(literal 0 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))))) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
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(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/9 binary64) rand) #s(literal -1/3 binary64)) a)) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/6 binary64)) #s(literal -1/3 binary64)) a)) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/9 binary64) rand) (/.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal -1/18 binary64)) #s(literal 0 binary64)) a))) a)) (neg.f64 a))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
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(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
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(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
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(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (*.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
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(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
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(* -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)))))
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(* -1/3 (sqrt -1/3))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))
(fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 a #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (+ (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/6 (/ (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (sqrt -1/3)))))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
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(* 1/3 (sqrt a))
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(* 1/3 (sqrt a))
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(*.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) a) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 a))) (* 1/18 (sqrt a)))) a)) (* -1/9 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/9 binary64) (/.f64 (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 a) #s(literal 0 binary64)) a)) a)) (neg.f64 a))
(sqrt -3)
(sqrt.f64 #s(literal -3 binary64))
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(fma.f64 a (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 (/.f64 a (sqrt.f64 #s(literal -3 binary64))) #s(literal 27/8 binary64) (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 729/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 27/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(*.f64 a (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))) (neg.f64 a))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/24 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)))) (neg.f64 a))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/24 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))))) (neg.f64 a))
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(/ -1/3 rand)
(/.f64 #s(literal -1/3 binary64) rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ a rand)
(/.f64 a rand)
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(+.f64 (/.f64 a rand) (*.f64 a (/.f64 #s(literal -1/3 binary64) (*.f64 rand a))))
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(+.f64 (/.f64 a rand) (*.f64 a (/.f64 #s(literal -1/3 binary64) (*.f64 rand a))))
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(+.f64 (/.f64 a rand) (*.f64 a (/.f64 #s(literal -1/3 binary64) (*.f64 rand a))))
(/ a rand)
(/.f64 a rand)
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) (*.f64 rand a)) (neg.f64 (/.f64 a (neg.f64 rand))))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) (*.f64 rand a)) (neg.f64 (/.f64 a (neg.f64 rand))))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) (*.f64 rand a)) (neg.f64 (/.f64 a (neg.f64 rand))))
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)

eval443.0ms (3.8%)

Memory
5.1MiB live, 312.1MiB allocated
Compiler

Compiled 46 254 to 3 244 computations (93% saved)

prune404.0ms (3.5%)

Memory
15.0MiB live, 333.9MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1 70791 716
Fresh426
Picked415
Done000
Total1 715121 727
Accuracy
100.0%
Counts
1 727 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
▶98.6%
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand a)
▶99.5%
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
99.2%
(fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
98.0%
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
▶36.8%
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
✓64.0%
(+.f64 a #s(literal -1/3 binary64))
▶36.2%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
36.3%
(*.f64 rand (*.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
36.2%
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
62.9%
a
▶1.4%
#s(literal -1/3 binary64)
Compiler

Compiled 239 to 172 computations (28% saved)

simplify31.0ms (0.3%)

Memory
-20.4MiB live, 19.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
024115
143115
258115
369115
479115
599115
6109115
7119115
8126115
9126115
10154115
11162115
12222115
13237115
14265115
15272115
16272115
0272107
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (* (sqrt (+ a -1/3)) rand) 1/3) (+ a -1/3))
(* (sqrt (+ a -1/3)) rand)
(sqrt (+ a -1/3))
(+ a -1/3)
a
-1/3
rand
1/3
-1/3
(/ (+ (* a a) -1/9) (+ a 1/3))
(+ (* a a) -1/9)
a
-1/9
(+ a 1/3)
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
(+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) a)
(/ (+ a -1/3) (sqrt (+ (* 9 a) -3)))
(+ a -1/3)
a
-1/3
(sqrt (+ (* 9 a) -3))
(+ (* 9 a) -3)
9
-3
rand
Outputs
(+ (* (* (sqrt (+ a -1/3)) rand) 1/3) (+ a -1/3))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(* (sqrt (+ a -1/3)) rand)
(*.f64 (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))
a
-1/3
#s(literal -1/3 binary64)
rand
1/3
#s(literal 1/3 binary64)
-1/3
#s(literal -1/3 binary64)
(/ (+ (* a a) -1/9) (+ a 1/3))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(+ (* a a) -1/9)
(fma.f64 a a #s(literal -1/9 binary64))
a
-1/9
#s(literal -1/9 binary64)
(+ a 1/3)
(+.f64 a #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* (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
(+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) a)
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)
(/ (+ a -1/3) (sqrt (+ (* 9 a) -3)))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (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)
(sqrt (+ (* 9 a) -3))
(sqrt.f64 (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
#s(literal 9 binary64)
-3
#s(literal -3 binary64)
rand

localize116.0ms (1%)

Memory
-5.2MiB live, 154.2MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy99.9%
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand a)
✓accuracy99.8%
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
✓accuracy99.5%
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.5%
(*.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%
(fma.f64 a a #s(literal -1/9 binary64))
✓accuracy100.0%
(+.f64 a #s(literal 1/3 binary64))
✓accuracy51.2%
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.7%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)
✓accuracy99.5%
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
Samples
53.0ms237×0valid
21.0ms9×2valid
3.0ms10×1valid
Compiler

Compiled 109 to 26 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 19.0ms (31.1% of total)
adjust: 17.0ms (27.8% of total)
const: 10.0ms (16.4% of total)
ival-add: 8.0ms (13.1% of total)
ival-sqrt: 4.0ms (6.5% of total)
ival-div: 3.0ms (4.9% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
27.2MiB live, 27.2MiB allocated
Counts
12 → 192
Calls
Call 1
Inputs
#<alt (+ (* (* (sqrt (+ a -1/3)) rand) 1/3) (+ a -1/3))>
#<alt (* (sqrt (+ a -1/3)) rand)>
#<alt (sqrt (+ a -1/3))>
#<alt (+ a -1/3)>
#<alt (/ (+ (* a a) -1/9) (+ a 1/3))>
#<alt (+ (* a a) -1/9)>
#<alt (+ a 1/3)>
#<alt (* (sqrt (+ a -1/3)) (* 1/3 rand))>
#<alt (* 1/3 rand)>
#<alt (+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) a)>
#<alt (/ (+ a -1/3) (sqrt (+ (* 9 a) -3)))>
#<alt (sqrt (+ (* 9 a) -3))>
Outputs
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* 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)))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt -1/9>
#<alt (- (pow a 2) 1/9)>
#<alt (- (pow a 2) 1/9)>
#<alt (- (pow a 2) 1/9)>
#<alt (pow a 2)>
#<alt (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))>
#<alt 1/3>
#<alt (+ 1/3 a)>
#<alt (+ 1/3 a)>
#<alt (+ 1/3 a)>
#<alt a>
#<alt (* a (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* a (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* a (+ 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* a (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* a (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* a (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* 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 (* 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 (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))>
#<alt (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))>
#<alt (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* a (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/9 (* (sqrt (/ 1 (pow a 3))) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt a>
#<alt (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)))>
#<alt (* rand (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)))>
#<alt (* rand (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a 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 rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ a rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ a rand)))))>
#<alt (* -1/3 (sqrt -1/3))>
#<alt (+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))>
#<alt (+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))))>
#<alt (+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (+ (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/6 (/ (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (sqrt -1/3)))))) (* 1/2 (/ 1 (sqrt -1/3)))))))))>
#<alt (* 1/3 (sqrt a))>
#<alt (* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))))>
#<alt (* 1/3 (sqrt a))>
#<alt (* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/9 (sqrt (/ 1 (pow a 3)))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1/9 (sqrt (/ 1 a))) (* -1/18 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 a))) (* 1/18 (sqrt a)))) a)) (* -1/9 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))>
#<alt (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

48 calls:

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

rewrite378.0ms (3.3%)

Memory
-28.7MiB live, 824.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 532×accelerator-lowering-fma.f32
7 532×accelerator-lowering-fma.f64
3 900×*-lowering-*.f32
3 900×*-lowering-*.f64
3 828×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02477
113677
2106877
0834371
Stop Event
1×iter limit
1×node limit
Counts
12 → 619
Calls
Call 1
Inputs
(+ (* (* (sqrt (+ a -1/3)) rand) 1/3) (+ a -1/3))
(* (sqrt (+ a -1/3)) rand)
(sqrt (+ a -1/3))
(+ a -1/3)
(/ (+ (* a a) -1/9) (+ a 1/3))
(+ (* a a) -1/9)
(+ a 1/3)
(* (sqrt (+ a -1/3)) (* 1/3 rand))
(* 1/3 rand)
(+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) a)
(/ (+ a -1/3) (sqrt (+ (* 9 a) -3)))
(sqrt (+ (* 9 a) -3))
Outputs
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))
(+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) a))) (neg.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) a)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a)
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))) a)
(-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))))
(-.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (-.f64 #s(literal 1/3 binary64) a))
(-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal 1/3 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) a))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) a))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (-.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)))))
(-.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a)) (+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal 1/3 binary64))))
(-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) a))) (neg.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) a)))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 a #s(literal 1/3 binary64) (*.f64 a a)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal 1/9 binary64))))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal 1/9 binary64))) (+.f64 a #s(literal 1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal 1/9 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
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(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) a) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/9 binary64) (fma.f64 a #s(literal 1/3 binary64) (*.f64 a a))))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
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(fma.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (neg.f64 a))) #s(literal -1/3 binary64))
(fma.f64 (/.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -1/729 binary64)) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1/81 binary64)) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1/81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -1/729 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 1/81 binary64)) (*.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1/81 binary64)) (fma.f64 a (*.f64 a a) #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 a #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 a #s(literal 1/2 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand)))))))
(neg.f64 (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1/3 binary64) a))) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (+.f64 a #s(literal -1/3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1/3 binary64) a)))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) a))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand)))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand)) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (*.f64 rand (-.f64 #s(literal 1/3 binary64) a))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.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 #s(literal 1/9 binary64) (*.f64 rand rand)) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (*.f64 rand (-.f64 #s(literal 1/3 binary64) a))))) (fma.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal 1/9 binary64)) (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))) (fma.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (*.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/9 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand rand))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal 1/3 binary64)) (fma.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/9 binary64))))
(/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1/3 binary64) a))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 a (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))))))
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(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 a a)) (fma.f64 rand (/.f64 (-.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 (neg.f64 a)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))) (*.f64 (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 (/.f64 (*.f64 rand (-.f64 #s(literal 1/3 binary64) a)) (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 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
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(/.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))) (*.f64 (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 (/.f64 (*.f64 rand (-.f64 #s(literal 1/3 binary64) a)) (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 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(/.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))) (*.f64 (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 (*.f64 (/.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 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (*.f64 (/.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 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a)))) (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))))
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(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 a a)) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a)))
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(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (neg.f64 (fma.f64 a a (*.f64 (/.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 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 a a))) (fma.f64 rand (/.f64 (-.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 (neg.f64 a))))
(/.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a (/.f64 (*.f64 rand (-.f64 #s(literal 1/3 binary64) a)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a))) (*.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a)) (*.f64 a a))) (*.f64 (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a)) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))) (neg.f64 (neg.f64 (fma.f64 a (+.f64 a (/.f64 (*.f64 rand (-.f64 #s(literal 1/3 binary64) a)) (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 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 a a)))) (neg.f64 (fma.f64 rand (/.f64 (-.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 (neg.f64 a)))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (neg.f64 (+.f64 a (/.f64 (*.f64 rand (-.f64 #s(literal 1/3 binary64) a)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a))) (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a))) (fma.f64 (/.f64 (*.f64 a a) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a))) (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a)))) (*.f64 (/.f64 (*.f64 a a) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a))))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)) #s(literal -1 binary64))
(*.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a (/.f64 (*.f64 rand (-.f64 #s(literal 1/3 binary64) a)) (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 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(*.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 (/.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 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a))))))
(*.f64 #s(literal 1 binary64) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (neg.f64 a))))
(*.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand))) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (+.f64 a (/.f64 (*.f64 rand (-.f64 #s(literal 1/3 binary64) a)) (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 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
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(*.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a (/.f64 (*.f64 rand (-.f64 #s(literal 1/3 binary64) a)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal -1/3 binary64)))
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(pow.f64 (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 a #s(literal 27 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 a #s(literal 27 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64)))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 9 binary64) (fma.f64 a #s(literal 27 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64)))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)))

simplify441.0ms (3.8%)

Memory
-7.7MiB live, 826.0MiB allocated
Algorithm
1×egg-herbie
Rules
13 636×accelerator-lowering-fma.f32
13 636×accelerator-lowering-fma.f64
5 970×*-lowering-*.f32
5 970×*-lowering-*.f64
3 916×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05112903
116102458
256672369
080642204
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* 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)))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
-1/9
(- (pow a 2) 1/9)
(- (pow a 2) 1/9)
(- (pow a 2) 1/9)
(pow a 2)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(pow a 2)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
1/3
(+ 1/3 a)
(+ 1/3 a)
(+ 1/3 a)
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* 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))))
(* 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)))
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))
(+ (* -1/3 (* 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 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/9 (* (sqrt (/ 1 (pow a 3))) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
a
(+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))))
(+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))))
(+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)))
(* rand (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)))
(* rand (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ a rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ a rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ a rand)))))
(* -1/3 (sqrt -1/3))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (+ (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/6 (/ (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (sqrt -1/3)))))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(* 1/3 (sqrt a))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))))
(* 1/3 (sqrt a))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/9 (sqrt (/ 1 (pow a 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/9 (sqrt (/ 1 a))) (* -1/18 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 a))) (* 1/18 (sqrt a)))) a)) (* -1/9 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(sqrt -3)
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))
(* 3 (sqrt a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
Outputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(fma.f64 a (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(fma.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal -1/18 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)) #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (+.f64 #s(literal -1/3 binary64) a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1/18 binary64) #s(literal -1/3 binary64)) a)) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/216 binary64) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)))) a)) a)) (neg.f64 a))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (sqrt -1/3))
(*.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 (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
(fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 3/8 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 rand a) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64))) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (*.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 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(*.f64 a (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (*.f64 rand (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64))) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 rand (sqrt.f64 a))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 a (*.f64 rand (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(*.f64 (*.f64 (neg.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))))) (neg.f64 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 (*.f64 (neg.f64 rand) (+.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/432 binary64))))) (neg.f64 a))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) 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 (/.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)))))
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(* -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)))))
(neg.f64 (*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(neg.f64 (*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 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)))))) (neg.f64 a))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 #s(literal -1/3 binary64) a)
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
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a
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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-1/9
#s(literal -1/9 binary64)
(- (pow a 2) 1/9)
(fma.f64 a a #s(literal -1/9 binary64))
(- (pow a 2) 1/9)
(fma.f64 a a #s(literal -1/9 binary64))
(- (pow a 2) 1/9)
(fma.f64 a a #s(literal -1/9 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
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(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
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(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (*.f64 a a)))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
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(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (*.f64 a a)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
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1/3
#s(literal 1/3 binary64)
(+ 1/3 a)
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(+ 1/3 a)
(+.f64 #s(literal 1/3 binary64) a)
(+ 1/3 a)
(+.f64 #s(literal 1/3 binary64) a)
a
(* a (+ 1 (* 1/3 (/ 1 a))))
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(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal 1/3 binary64) a)
(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal 1/3 binary64) a)
a
(* a (+ 1 (* 1/3 (/ 1 a))))
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(* a (+ 1 (* 1/3 (/ 1 a))))
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(* 1/3 (* rand (sqrt -1/3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 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 a (fma.f64 (*.f64 a (/.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))))) (*.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 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 (/.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 (* (sqrt a) rand))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
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(* 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 1/3 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)))))))))
(* 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 1/3 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 -1/1296 binary64))) (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 rand (*.f64 #s(literal 1/3 binary64) (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 a (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -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 (*.f64 (neg.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)))))) (neg.f64 a))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(*.f64 (*.f64 (neg.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))))) (neg.f64 a))
(* 1/3 (* rand (sqrt (- a 1/3))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 rand)
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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)))
(*.f64 rand (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))
(fma.f64 rand (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (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 (* 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 rand (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 a (*.f64 #s(literal 3/8 binary64) rand)) (sqrt.f64 #s(literal -1/3 binary64))))) a))
(+ (* -1/3 (* 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 rand (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) a)) (*.f64 a (fma.f64 (/.f64 (*.f64 rand #s(literal 9/4 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 a (*.f64 #s(literal 15/16 binary64) rand)) (sqrt.f64 #s(literal -1/3 binary64))))))) a))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* a (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.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 -1/9 binary64)))) a)
(* a (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(fma.f64 (*.f64 rand 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)))) a)
(* a (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(fma.f64 a (+.f64 #s(literal 0 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)))))) a)
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/9 (* (sqrt (/ 1 (pow a 3))) rand))) 1)))
(*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/6 binary64) a)) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 rand (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/9 binary64)) (/.f64 (fma.f64 (*.f64 rand (sqrt.f64 a)) #s(literal -1/18 binary64) #s(literal 0 binary64)) a)) a)) (neg.f64 a))
a
(+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)
(+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)
(+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) 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)))
(*.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 a rand)))
(* rand (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a 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 a rand)))
(* rand (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a 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 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 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 a rand)))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ a 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 a rand)))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ a 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 a rand)))
(* -1/3 (sqrt -1/3))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))
(fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 a #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (+ (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/6 (/ (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (sqrt -1/3)))))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 a (fma.f64 a (+.f64 (fma.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 a #s(literal 15/16 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
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(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
(*.f64 a (fma.f64 #s(literal -1/18 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 (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))))
(*.f64 a (+.f64 #s(literal 0 binary64) (fma.f64 #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))))))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/9 (sqrt (/ 1 (pow a 3)))))))
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(* -1 (* a (+ (* -1 (/ (+ (* -1/9 (sqrt (/ 1 a))) (* -1/18 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/6 binary64) a))) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 a))) (* 1/18 (sqrt a)))) a)) (* -1/9 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/9 binary64) (/.f64 (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 a) #s(literal 0 binary64)) (neg.f64 a))) a)) (neg.f64 a))
(sqrt -3)
(sqrt.f64 #s(literal -3 binary64))
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(fma.f64 a (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))
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(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)))
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(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
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(*.f64 a (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64) (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(neg.f64 (*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64)))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/24 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64)))) (neg.f64 a))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/24 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64))))) (neg.f64 a))

eval160.0ms (1.4%)

Memory
23.7MiB live, 382.9MiB allocated
Compiler

Compiled 28 121 to 2 603 computations (90.7% saved)

prune154.0ms (1.3%)

Memory
-20.0MiB live, 371.8MiB allocated
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New1 21391 222
Fresh426
Picked325
Done011
Total1 220141 234
Accuracy
100.0%
Counts
1 234 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) rand a)
98.6%
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)) a)
▶97.9%
(fma.f64 (/.f64 a (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand a)
▶97.9%
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand a)
▶99.2%
(fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
11.5%
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
88.9%
(+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)
✓64.0%
(+.f64 a #s(literal -1/3 binary64))
35.9%
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64))
✓36.2%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
35.6%
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
▶35.6%
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
▶62.9%
a
✓1.4%
#s(literal -1/3 binary64)
Compiler

Compiled 240 to 175 computations (27.1% saved)

simplify10.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02190
13990
25290
35490
45790
56190
66790
76790
89390
910190
1013390
1113490
1213590
013583
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (sqrt a) (* rand 1/3)) (+ a -1/3))
(sqrt a)
a
(* rand 1/3)
rand
1/3
(+ a -1/3)
-1/3
a
(* rand (* 1/3 (sqrt a)))
rand
(* 1/3 (sqrt a))
1/3
(sqrt a)
a
(+ (* (* 1/3 (sqrt a)) rand) a)
(* 1/3 (sqrt a))
1/3
(sqrt a)
a
rand
(+ (* (/ a (sqrt (+ (* 9 a) -3))) rand) a)
(/ a (sqrt (+ (* 9 a) -3)))
a
(sqrt (+ (* 9 a) -3))
(+ (* 9 a) -3)
9
-3
rand
Outputs
(+ (* (sqrt a) (* rand 1/3)) (+ a -1/3))
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))
(sqrt a)
(sqrt.f64 a)
a
(* rand 1/3)
(*.f64 rand #s(literal 1/3 binary64))
rand
1/3
#s(literal 1/3 binary64)
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
a
(* rand (* 1/3 (sqrt a)))
(*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))
rand
(* 1/3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(sqrt a)
(sqrt.f64 a)
a
(+ (* (* 1/3 (sqrt a)) rand) a)
(fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)
(* 1/3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(sqrt a)
(sqrt.f64 a)
a
rand
(+ (* (/ a (sqrt (+ (* 9 a) -3))) rand) a)
(fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)
(/ a (sqrt (+ (* 9 a) -3)))
(/.f64 a (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
a
(sqrt (+ (* 9 a) -3))
(sqrt.f64 (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
#s(literal 9 binary64)
-3
#s(literal -3 binary64)
rand

localize84.0ms (0.7%)

Memory
13.2MiB live, 181.6MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))
✓accuracy99.9%
(fma.f64 (/.f64 a (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand a)
✓accuracy99.8%
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
✓accuracy99.5%
(/.f64 a (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.9%
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand a)
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.6%
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.9%
(fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.5%
(*.f64 rand #s(literal 1/3 binary64))
Samples
46.0ms237×0valid
4.0ms10×1valid
4.0ms9×2valid
Compiler

Compiled 85 to 23 computations (72.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 10.0ms (30% of total)
ival-add: 9.0ms (27% of total)
const: 7.0ms (21% of total)
ival-sqrt: 4.0ms (12% of total)
ival-div: 2.0ms (6% of total)
adjust: 1.0ms (3% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-24.2MiB live, 54.0MiB allocated
Counts
11 → 180
Calls
Call 1
Inputs
#<alt (+ (* (sqrt a) (* rand 1/3)) (+ a -1/3))>
#<alt (sqrt a)>
#<alt (* rand 1/3)>
#<alt (+ a -1/3)>
#<alt (* rand (* 1/3 (sqrt a)))>
#<alt (* 1/3 (sqrt a))>
#<alt (+ (* (* 1/3 (sqrt a)) rand) a)>
#<alt (+ (* (/ a (sqrt (+ (* 9 a) -3))) rand) a)>
#<alt (/ a (sqrt (+ (* 9 a) -3)))>
#<alt (sqrt (+ (* 9 a) -3))>
#<alt (+ (* 9 a) -3)>
Outputs
#<alt (- (* 1/3 (* (sqrt a) rand)) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* 1/3 rand)>
#<alt (* 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>
#<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 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 (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt a>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* a (+ 1 (* rand (sqrt -1/3))))>
#<alt (* a (+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))))>
#<alt (* a (+ 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 (* a (+ 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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* 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 (+ (* 1/54 (* (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 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a))))) (* -1/54 (* (sqrt a) rand))) (pow a 3))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))) 1)))>
#<alt a>
#<alt (+ a (* (* a rand) (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (+ a (* (* a rand) (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (+ a (* (* a rand) (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (* (* a rand) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (+ (* a (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)))>
#<alt (* rand (+ (* a (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)))>
#<alt (* rand (+ (* a (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)))>
#<alt (* (* a rand) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1 (* rand (+ (* -1 (* a (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ a rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* a (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ a rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* a (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ a rand)))))>
#<alt (* a (sqrt -1/3))>
#<alt (* a (+ (sqrt -1/3) (* -1/2 (/ a (sqrt -1/3)))))>
#<alt (* a (+ (sqrt -1/3) (* a (- (* -1/2 (/ (* a (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))>
#<alt (* a (+ (sqrt -1/3) (* a (- (* a (+ (* -1/2 (/ (* a (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))))) (* 1/2 (/ 1 (sqrt -1/3)))))))>
#<alt (* 1/3 (sqrt a))>
#<alt (* a (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (- 1/243 (* 1/324 a))))))))>
#<alt (* 1/3 (sqrt a))>
#<alt (* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/18 (sqrt (/ 1 (pow a 3)))))))>
#<alt (* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (* 1/18 (sqrt (/ 1 (pow a 3))))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 a)) (+ 1/243 (* -1/324 a)))) (* -1/54 (sqrt a))) (pow a 3))) (+ (* -1/3 (sqrt (/ 1 a))) (* 1/18 (sqrt (/ 1 (pow a 3))))))))>
#<alt (sqrt -3)>
#<alt (+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))>
#<alt (+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))>
#<alt (+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))>
#<alt (* 3 (sqrt a))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))>
#<alt -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)))>
Calls

45 calls:

TimeVariablePointExpression
5.0ms
a
@-inf
(* 1/3 (sqrt a))
3.0ms
a
@-inf
(+ (* (/ a (sqrt (+ (* 9 a) -3))) rand) a)
2.0ms
a
@0
(+ (* (sqrt a) (* rand 1/3)) (+ a -1/3))
1.0ms
a
@0
(+ (* (/ a (sqrt (+ (* 9 a) -3))) rand) a)
1.0ms
a
@-inf
(+ (* (sqrt a) (* rand 1/3)) (+ a -1/3))

rewrite332.0ms (2.9%)

Memory
10.6MiB live, 469.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 270×accelerator-lowering-fma.f32
7 270×accelerator-lowering-fma.f64
4 906×*-lowering-*.f32
4 906×*-lowering-*.f64
4 048×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02167
111567
285167
0836160
Stop Event
1×iter limit
1×node limit
Counts
11 → 358
Calls
Call 1
Inputs
(+ (* (sqrt a) (* rand 1/3)) (+ a -1/3))
(sqrt a)
(* rand 1/3)
(+ a -1/3)
(* rand (* 1/3 (sqrt a)))
(* 1/3 (sqrt a))
(+ (* (* 1/3 (sqrt a)) rand) a)
(+ (* (/ a (sqrt (+ (* 9 a) -3))) rand) a)
(/ a (sqrt (+ (* 9 a) -3)))
(sqrt (+ (* 9 a) -3))
(+ (* 9 a) -3)
Outputs
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))))
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))))
(+.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 a (*.f64 rand rand))) (-.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) a)) (neg.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) a))))
(+.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a)
(-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 a (*.f64 rand rand))) (-.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) a)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) a)))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand)))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 a (*.f64 rand rand))) (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand)))))
(-.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)) (+.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal 1/3 binary64))))
(fma.f64 a #s(literal 1 binary64) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))
(fma.f64 a #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))))
(fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 a (*.f64 rand rand))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) a)) (neg.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1/3 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 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 a a (*.f64 a #s(literal 1/3 binary64))))) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 a (sqrt.f64 a)) #s(literal 1/27 binary64)) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand))) (*.f64 #s(literal 1/9 binary64) (*.f64 a (*.f64 rand rand))))) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 a (sqrt.f64 a)) #s(literal 1/27 binary64)) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand)) (*.f64 a (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand)))))) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) a (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) a (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 a (*.f64 rand rand)) (*.f64 a (neg.f64 a))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)) #s(literal -1/3 binary64))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 a) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 a) (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))))
(fma.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal 1/3 binary64))))) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 a (neg.f64 a) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 a) #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (neg.f64 (fma.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 a (sqrt.f64 a)) #s(literal 1/27 binary64)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (+.f64 a (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand))) (*.f64 #s(literal 1/9 binary64) (*.f64 a (*.f64 rand rand)))))) #s(literal -1/3 binary64))
(fma.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 a (*.f64 rand rand)) (*.f64 a (neg.f64 a)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 a a (*.f64 #s(literal -1/9 binary64) (*.f64 a (*.f64 rand rand)))) (/.f64 #s(literal 1 binary64) (+.f64 a (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand)))) #s(literal -1/3 binary64))
(fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))))
(neg.f64 (/.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 rand (*.f64 rand rand)) (*.f64 (*.f64 a (sqrt.f64 a)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand))) (*.f64 #s(literal 1/9 binary64) (*.f64 a (*.f64 rand rand)))))))
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 a (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand) (+.f64 a #s(literal -1/3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 a (sqrt.f64 a)) #s(literal 1/27 binary64))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand))) (*.f64 #s(literal 1/9 binary64) (*.f64 a (*.f64 rand rand))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 a (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (-.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) a)))
(/.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 rand (*.f64 rand rand)) (*.f64 (*.f64 a (sqrt.f64 a)) #s(literal 1/27 binary64)))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand))) (*.f64 #s(literal 1/9 binary64) (*.f64 a (*.f64 rand rand)))))
(/.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 rand (*.f64 rand rand)) (*.f64 (*.f64 a (sqrt.f64 a)) #s(literal 1/27 binary64)))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (fma.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (fma.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 a (sqrt.f64 a)) #s(literal 1/27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) (*.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/9 binary64) (*.f64 a (*.f64 rand rand))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal 1/3 binary64)) (fma.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/9 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 a (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 a (sqrt.f64 a)) #s(literal 1/27 binary64))))) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand))) (*.f64 #s(literal 1/9 binary64) (*.f64 a (*.f64 rand rand))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 a (sqrt.f64 a)) #s(literal 1/27 binary64))))) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (fma.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 a (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) (*.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)) #s(literal -1/27 binary64)) (fma.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/9 binary64) (*.f64 a (*.f64 rand rand)))) (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand))))
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(/.f64 (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 a a))) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal -9 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) #s(literal 387420489 binary64) #s(literal -19683 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) #s(literal 531441 binary64) (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -19683 binary64)))) (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) #s(literal 531441 binary64) #s(literal -729 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal 27 binary64)) (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) #s(literal 531441 binary64) #s(literal -729 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 6561 binary64) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 a a) #s(literal 729 binary64)))) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 6561 binary64) #s(literal -81 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))) (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(/.f64 (*.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) #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64)))) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64)))) (neg.f64 (fma.f64 a #s(literal -9 binary64) #s(literal -3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 a a)))) (neg.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal -9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 a #s(literal -9 binary64) #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -9 binary64) (fma.f64 a #s(literal -9 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 a #s(literal -9 binary64) #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 a #s(literal -9 binary64) #s(literal -3 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal -9 binary64) (fma.f64 a #s(literal -9 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 a #s(literal -9 binary64) #s(literal -3 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))) (/.f64 #s(literal -9 binary64) (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 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1/2 binary64))
(*.f64 (sqrt.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 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64)) (/.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 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 a a) #s(literal 81 binary64) (*.f64 a #s(literal 27 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -9 binary64) #s(literal -3 binary64))))
(*.f64 (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal -9 binary64)))))

simplify700.0ms (6.1%)

Memory
-86.0MiB live, 682.7MiB allocated
Algorithm
1×egg-herbie
Rules
14 672×accelerator-lowering-fma.f32
14 672×accelerator-lowering-fma.f64
5 132×+-lowering-+.f64
5 132×+-lowering-+.f32
5 124×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03121983
19771811
232801801
370741789
081931657
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(- (* 1/3 (* (sqrt a) rand)) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(* 1/3 (* (sqrt a) rand))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* 1/3 rand)
(* 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
(- 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 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))))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* a (+ 1 (* rand (sqrt -1/3))))
(* a (+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))))
(* a (+ 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)))))
(* a (+ 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)))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))) 1)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))) 1)))
(* -1 (* a (- (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a))))) (* -1/54 (* (sqrt a) rand))) (pow a 3))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))) 1)))
a
(+ a (* (* a rand) (sqrt (/ 1 (- (* 9 a) 3)))))
(+ a (* (* a rand) (sqrt (/ 1 (- (* 9 a) 3)))))
(+ a (* (* a rand) (sqrt (/ 1 (- (* 9 a) 3)))))
(* (* a rand) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (+ (* a (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)))
(* rand (+ (* a (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)))
(* rand (+ (* a (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)))
(* (* a rand) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (+ (* -1 (* a (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ a rand)))))
(* -1 (* rand (+ (* -1 (* a (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ a rand)))))
(* -1 (* rand (+ (* -1 (* a (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ a rand)))))
(* a (sqrt -1/3))
(* a (+ (sqrt -1/3) (* -1/2 (/ a (sqrt -1/3)))))
(* a (+ (sqrt -1/3) (* a (- (* -1/2 (/ (* a (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))
(* a (+ (sqrt -1/3) (* a (- (* a (+ (* -1/2 (/ (* a (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))))) (* 1/2 (/ 1 (sqrt -1/3)))))))
(* 1/3 (sqrt a))
(* a (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(* a (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
(* a (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (- 1/243 (* 1/324 a))))))))
(* 1/3 (sqrt a))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/18 (sqrt (/ 1 (pow a 3)))))))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (* 1/18 (sqrt (/ 1 (pow a 3))))))))
(* -1 (* a (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 a)) (+ 1/243 (* -1/324 a)))) (* -1/54 (sqrt a))) (pow a 3))) (+ (* -1/3 (sqrt (/ 1 a))) (* 1/18 (sqrt (/ 1 (pow a 3))))))))
(sqrt -3)
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))
(* 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))))))))
-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)))
Outputs
(- (* 1/3 (* (sqrt a) rand)) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) (+.f64 a #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal -1/3 binary64) a)) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal -1/3 binary64) a)) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal -1/3 binary64) a)) a)
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (neg.f64 a))
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(- a 1/3)
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(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
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(* 1/3 (* (sqrt a) rand))
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(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 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
#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 #s(literal -1/3 binary64) (/.f64 a a) a)
(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 a a) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 a a) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 a a) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 a a) 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))
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(*.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))
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(* 1/3 (* (sqrt a) rand))
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(* 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))))
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(* -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))))
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(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
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(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
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(* 1/3 (sqrt a))
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(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (neg.f64 a))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) 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)))
(*.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 (sqrt.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 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
(* a (+ 1 (* rand (sqrt -1/3))))
(fma.f64 a (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) a)
(* a (+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))))
(fma.f64 a (fma.f64 (*.f64 a rand) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a)
(* a (+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))
(fma.f64 a (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (*.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)))))) a)
(* a (+ 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 a (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 a (*.f64 rand (/.f64 #s(literal 45/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 9/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(* a (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) a)
(* a (+ 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 a (*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))) a)
(* a (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))) a)
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
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(*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))) 1)))
(*.f64 (fma.f64 rand (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a))))) (* -1/54 (* (sqrt a) rand))) (pow a 3))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))) 1)))
(*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 a) #s(literal -1/54 binary64)))) (*.f64 a (*.f64 a a))))) (neg.f64 a))
a
(+ a (* (* a rand) (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 (*.f64 a rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)
(+ a (* (* a rand) (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 (*.f64 a rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)
(+ a (* (* a rand) (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 (*.f64 a rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)
(* (* a rand) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (+ (* a (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)))
(*.f64 rand (fma.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 a rand)))
(* rand (+ (* a (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)))
(*.f64 rand (fma.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 a rand)))
(* rand (+ (* a (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)))
(*.f64 rand (fma.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 a rand)))
(* (* a rand) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* -1 (* rand (+ (* -1 (* a (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ a rand)))))
(*.f64 rand (fma.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 a rand)))
(* -1 (* rand (+ (* -1 (* a (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ a rand)))))
(*.f64 rand (fma.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 a rand)))
(* -1 (* rand (+ (* -1 (* a (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ a rand)))))
(*.f64 rand (fma.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 a rand)))
(* a (sqrt -1/3))
(*.f64 a (sqrt.f64 #s(literal -1/3 binary64)))
(* a (+ (sqrt -1/3) (* -1/2 (/ a (sqrt -1/3)))))
(*.f64 a (fma.f64 a (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))
(* a (+ (sqrt -1/3) (* a (- (* -1/2 (/ (* a (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))
(*.f64 a (fma.f64 a (fma.f64 a (/.f64 #s(literal -9/8 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))))
(* a (+ (sqrt -1/3) (* a (- (* a (+ (* -1/2 (/ (* a (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))))) (* 1/2 (/ 1 (sqrt -1/3)))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (/.f64 #s(literal -45/16 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal -9/8 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))))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* a (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(*.f64 a (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))
(* a (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
(*.f64 a (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))))))
(* a (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (- 1/243 (* 1/324 a))))))))
(*.f64 a (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/18 (sqrt (/ 1 (pow a 3)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (neg.f64 a))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (* 1/18 (sqrt (/ 1 (pow a 3))))))))
(*.f64 (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 a)) (+ 1/243 (* -1/324 a)))) (* -1/54 (sqrt a))) (pow a 3))) (+ (* -1/3 (sqrt (/ 1 a))) (* 1/18 (sqrt (/ 1 (pow a 3))))))))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 a) #s(literal -1/54 binary64))) (*.f64 a (*.f64 a a)))) (neg.f64 a))
(sqrt -3)
(sqrt.f64 #s(literal -3 binary64))
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(fma.f64 a (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 a (/.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)))
(+ (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 a (/.f64 #s(literal 729/16 binary64) (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 (sqrt.f64 a) #s(literal 3 binary64))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 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 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64))))))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(neg.f64 (*.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)))) (neg.f64 a))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
(neg.f64 (*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/24 binary64) (fma.f64 #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)))))))
-3
#s(literal -3 binary64)
(- (* 9 a) 3)
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(- (* 9 a) 3)
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(- (* 9 a) 3)
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))

eval81.0ms (0.7%)

Memory
10.3MiB live, 166.5MiB allocated
Compiler

Compiled 12 314 to 1 409 computations (88.6% saved)

prune113.0ms (1%)

Memory
15.1MiB live, 177.2MiB allocated
Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New5837590
Fresh516
Picked235
Done033
Total59014604
Accuracy
100.0%
Counts
604 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(fma.f64 (/.f64 a (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) rand a)
98.0%
(fma.f64 (/.f64 a (sqrt.f64 (*.f64 a #s(literal 9 binary64)))) rand a)
98.0%
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
✓99.2%
(fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
98.0%
(fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)
11.5%
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
88.3%
(+.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)
✓64.0%
(+.f64 a #s(literal -1/3 binary64))
35.3%
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
35.6%
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
✓36.2%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
✓35.6%
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
✓62.9%
a
✓1.4%
#s(literal -1/3 binary64)
Compiler

Compiled 492 to 185 computations (62.4% saved)

regimes50.0ms (0.4%)

Memory
1.7MiB live, 81.2MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (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) rand) #s(literal 1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand a)
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #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 a) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 a (sqrt.f64 (*.f64 a #s(literal 9 binary64)))) rand a)
(fma.f64 (/.f64 a (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) rand a)
(fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)
(fma.f64 (/.f64 a (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand a)
(+.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) rand a)
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)) a)
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand a)
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) 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 #s(literal 9 binary64) a #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)))) a)
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
(*.f64 rand (*.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 rand (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Outputs
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
Calls

4 calls:

15.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
12.0ms
a
11.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
11.0ms
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)

regimes55.0ms (0.5%)

Memory
8.8MiB live, 80.3MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (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) rand) #s(literal 1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand a)
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #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 a) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 a (sqrt.f64 (*.f64 a #s(literal 9 binary64)))) rand a)
(fma.f64 (/.f64 a (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) rand a)
(fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)
(fma.f64 (/.f64 a (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand a)
(+.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) rand a)
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)) a)
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand a)
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) 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 #s(literal 9 binary64) a #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)))) a)
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
(*.f64 rand (*.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(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)))
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

4 calls:

20.0ms
rand
14.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
10.0ms
a
10.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Results
AccuracySegmentsBranch
99.9%1a
99.9%1rand
99.9%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
99.9%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes35.0ms (0.3%)

Memory
4.0MiB live, 49.8MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (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) rand) #s(literal 1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand a)
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #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 a) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
Outputs
(fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
Calls

4 calls:

19.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
5.0ms
rand
5.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
5.0ms
a
Results
AccuracySegmentsBranch
99.2%1a
99.2%1rand
99.2%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
99.2%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes26.0ms (0.2%)

Memory
-27.0MiB live, 48.2MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (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) rand) #s(literal 1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand a)
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #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

4 calls:

8.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
7.0ms
a
5.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
5.0ms
rand
Results
AccuracySegmentsBranch
98.0%1a
98.0%1rand
98.0%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
98.0%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes19.0ms (0.2%)

Memory
-0.0MiB live, 37.1MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (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) rand) #s(literal 1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand a)
Outputs
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand a)
Calls

4 calls:

7.0ms
a
4.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
4.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
4.0ms
rand
Results
AccuracySegmentsBranch
97.9%1a
97.9%1rand
97.9%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)))
97.9%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes27.0ms (0.2%)

Memory
-21.7MiB live, 39.3MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (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) rand) #s(literal 1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
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

4 calls:

16.0ms
a
4.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
3.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
3.0ms
rand
Results
AccuracySegmentsBranch
64.0%1a
92.4%3rand
85.5%3(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
64.0%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes3.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
Outputs
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(+.f64 a #s(literal -1/3 binary64))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
Calls

1 calls:

2.0ms
rand
Results
AccuracySegmentsBranch
92.4%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
Outputs
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
Calls

2 calls:

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

Compiled 25 to 15 computations (40% saved)

regimes4.0ms (0%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
Outputs
(+.f64 a #s(literal -1/3 binary64))
Calls

2 calls:

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

Compiled 25 to 15 computations (40% saved)

regimes10.0ms (0.1%)

Memory
-19.7MiB live, 19.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
Outputs
a
Calls

4 calls:

4.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
2.0ms
rand
2.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
2.0ms
a
Results
AccuracySegmentsBranch
62.9%1a
62.9%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
62.9%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
62.9%1rand
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes6.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

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

Compiled 35 to 23 computations (34.3% saved)

bsearch207.0ms (1.8%)

Memory
-9.5MiB live, 68.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
176.0ms
2.6337825241375544e+60
4.734630958017292e+65
28.0ms
-1.6119694589128056e+138
-1.771263530083479e+124
Samples
193.0ms304×0valid
Compiler

Compiled 310 to 246 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 5.0ms (33.7% of total)
ival-div: 4.0ms (27% of total)
ival-sqrt: 2.0ms (13.5% of total)
ival-sub: 1.0ms (6.7% of total)
ival-add: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch95.0ms (0.8%)

Memory
19.8MiB live, 62.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
74.0ms
2.6337825241375544e+60
4.734630958017292e+65
17.0ms
-1.6119694589128056e+138
-1.771263530083479e+124
Samples
80.0ms304×0valid
Compiler

Compiled 310 to 246 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 5.0ms (34% of total)
ival-div: 4.0ms (27.2% of total)
ival-sqrt: 2.0ms (13.6% of total)
ival-sub: 1.0ms (6.8% of total)
ival-add: 1.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch53.0ms (0.5%)

Memory
-12.8MiB live, 23.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
51.0ms
3.675136696647005e+154
2.767678715190172e+156
Samples
47.0ms112×0valid
Compiler

Compiled 130 to 102 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-sub: 40.0ms (89.2% of total)
ival-div: 2.0ms (4.5% of total)
ival-mult: 2.0ms (4.5% of total)
ival-add: 1.0ms (2.2% of total)
ival-sqrt: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
4×if-if-or-not_binary32
2×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034103
146103
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (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 a) (*.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)
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand a)
(if (<=.f64 rand #s(literal -17999999999999999305211632318545180574858642758041459971097181194384859397605746507875469919821081937363260599181036430032896 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 330000000000000023112256283759883068099948257397541648650788143104 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))))
(if (<=.f64 rand #s(literal -17999999999999999305211632318545180574858642758041459971097181194384859397605746507875469919821081937363260599181036430032896 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (if (<=.f64 rand #s(literal 22499999999999998652832381049095281872172261208175436732506832896 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal 37999999999999998129162179959926202498241534533208986133540043785391813501237193041134373293154868305810346568078363145222863263535487638516474433417248768 binary64)) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64)))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
Outputs
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (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 (sqrt.f64 a) (*.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)
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand a)
(if (<=.f64 rand #s(literal -17999999999999999305211632318545180574858642758041459971097181194384859397605746507875469919821081937363260599181036430032896 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 330000000000000023112256283759883068099948257397541648650788143104 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))))
(if (<=.f64 rand #s(literal -17999999999999999305211632318545180574858642758041459971097181194384859397605746507875469919821081937363260599181036430032896 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (if (<=.f64 rand #s(literal 330000000000000023112256283759883068099948257397541648650788143104 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -17999999999999999305211632318545180574858642758041459971097181194384859397605746507875469919821081937363260599181036430032896 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (if (<=.f64 rand #s(literal 22499999999999998652832381049095281872172261208175436732506832896 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal 37999999999999998129162179959926202498241534533208986133540043785391813501237193041134373293154868305810346568078363145222863263535487638516474433417248768 binary64)) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64)))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)

soundness1.6s (13.7%)

Memory
18.9MiB live, 1 005.0MiB allocated
Rules
13 636×accelerator-lowering-fma.f32
13 636×accelerator-lowering-fma.f64
13 334×accelerator-lowering-fma.f32
13 334×accelerator-lowering-fma.f64
11 298×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025120
1153120
21427104
0901996
05112903
116102458
256672369
080642204
03331781
110131561
233781491
379251491
083211388
01446
17040
253740
3648040
0816036
05863599
118203285
261513201
081502945
02167
111567
285167
0836160
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 297 to 169 computations (43.1% saved)

preprocess88.0ms (0.8%)

Memory
-7.9MiB live, 162.9MiB allocated
Compiler

Compiled 274 to 92 computations (66.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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