Octave 3.8, oct_fill_randg

Time bar (total: 9.5s)

analyze15.0ms (0.2%)

Memory
25.6MiB live, 25.6MiB 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)

sample1.5s (16.1%)

Memory
25.4MiB live, 1 923.0MiB allocated
Samples
1.1s8 256×0valid
130.0ms512×0invalid
Precisions
Click to see histograms. Total time spent on operations: 706.0ms
ival-mult: 189.0ms (26.8% of total)
ival-div: 175.0ms (24.8% of total)
ival-sub: 153.0ms (21.7% of total)
ival-add: 105.0ms (14.9% of total)
ival-sqrt: 63.0ms (8.9% of total)
exact: 11.0ms (1.6% of total)
ival-true: 7.0ms (1% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess357.0ms (3.8%)

Memory
-18.2MiB live, 248.3MiB allocated
Algorithm
1×egg-herbie
Rules
2 560×accelerator-lowering-fma.f32
2 560×accelerator-lowering-fma.f64
1 326×unsub-neg
910×sub-neg
784×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03288
19476
233070
3119170
4328570
5497670
6649170
7687470
8709770
9724570
10725270
11748770
12753170
13778170
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))))))

explain193.0ms (2%)

Memory
-19.7MiB live, 331.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
00-0-a
00-0-rand
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-#s(literal 9 binary64)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
00-0-(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
00-0-(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
00-0-(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
48.0ms488×0valid
3.0ms18×1valid
1.0ms4×2valid
1.0ms2×5exit
Compiler

Compiled 216 to 56 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 11.0ms (34.6% of total)
ival-mult: 9.0ms (28.3% of total)
ival-sub: 4.0ms (12.6% of total)
ival-sqrt: 4.0ms (12.6% of total)
ival-add: 2.0ms (6.3% of total)
adjust: 1.0ms (3.1% of total)
exact: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB 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)

simplify132.0ms (1.4%)

Memory
26.0MiB live, 146.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

localize49.0ms (0.5%)

Memory
-37.7MiB live, 84.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
✓accuracy99.7%
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
Samples
29.0ms244×0valid
1.0ms9×1valid
0.0ms2×2valid
0.0ms1×5exit
Compiler

Compiled 86 to 15 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 6.0ms (38.2% of total)
ival-mult: 5.0ms (31.9% of total)
ival-sqrt: 2.0ms (12.7% of total)
ival-sub: 1.0ms (6.4% of total)
ival-add: 1.0ms (6.4% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
29.3MiB live, 29.3MiB 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
2.0ms
rand
@0
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
1.0ms
a
@inf
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
1.0ms
a
@-inf
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
1.0ms
a
@inf
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
1.0ms
a
@0
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)

rewrite306.0ms (3.2%)

Memory
24.1MiB live, 446.0MiB 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)))
(fma.f64 (*.f64 a rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))) (/.f64 #s(literal 1 binary64) (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)))) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
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(*.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)))))
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(/.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)))
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(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))
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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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(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)))
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(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)))
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(-.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)))
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(/.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))
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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)))
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(pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/2 binary64))
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(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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(*.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))))))
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(*.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)))

simplify548.0ms (5.8%)

Memory
-8.3MiB live, 696.3MiB 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)))))))

eval105.0ms (1.1%)

Memory
-6.8MiB live, 168.5MiB allocated
Compiler

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

prune68.0ms (0.7%)

Memory
10.9MiB live, 166.6MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New5067513
Fresh000
Picked101
Done000
Total5077514
Accuracy
100.0%
Counts
514 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(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)))
▶99.8%
(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)))
▶98.2%
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
▶59.0%
(+.f64 a #s(literal -1/3 binary64))
▶99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
▶42.2%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
79.3%
(*.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)))
Compiler

Compiled 174 to 120 computations (31% saved)

simplify25.0ms (0.3%)

Memory
3.5MiB live, 42.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
023139
150139
2120139
3231139
4408139
5494139
6534139
7591139
8591139
0591132
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (+ a -1/3) (+ 1 (/ rand (sqrt (+ (* 9 a) -3)))))
(+ a -1/3)
a
-1/3
(+ 1 (/ rand (sqrt (+ (* 9 a) -3))))
1
(/ rand (sqrt (+ (* 9 a) -3)))
rand
(sqrt (+ (* 9 a) -3))
(+ (* 9 a) -3)
9
-3
(+ a -1/3)
a
-1/3
(* (sqrt (+ a -1/3)) (* 1/3 rand))
(sqrt (+ a -1/3))
(+ a -1/3)
a
-1/3
(* 1/3 rand)
1/3
rand
(+ (* (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
(+ (* a (* (sqrt (/ 1 a)) (* 1/3 rand))) a)
a
(* (sqrt (/ 1 a)) (* 1/3 rand))
(sqrt (/ 1 a))
(/ 1 a)
1
(* 1/3 rand)
1/3
rand
Outputs
(* (+ a -1/3) (+ 1 (/ rand (sqrt (+ (* 9 a) -3)))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
(+ 1 (/ rand (sqrt (+ (* 9 a) -3))))
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
1
#s(literal 1 binary64)
(/ rand (sqrt (+ (* 9 a) -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
rand
(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)
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
(* (sqrt (+ a -1/3)) (* 1/3 rand))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))
(sqrt (+ a -1/3))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
rand
(+ (* (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
(+ (* a (* (sqrt (/ 1 a)) (* 1/3 rand))) a)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 a (*.f64 rand #s(literal 1/3 binary64))) a)
a
(* (sqrt (/ 1 a)) (* 1/3 rand))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
rand

localize92.0ms (1%)

Memory
-13.8MiB live, 226.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) rand)
✓accuracy99.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.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 (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)))
✓accuracy99.6%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) rand)
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
✓accuracy99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
✓accuracy99.7%
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
✓accuracy99.6%
(/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
Samples
53.0ms245×0valid
3.0ms9×1valid
1.0ms2×2valid
Compiler

Compiled 134 to 25 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 13.0ms (33.8% of total)
const: 8.0ms (20.8% of total)
ival-add: 6.0ms (15.6% of total)
ival-sqrt: 6.0ms (15.6% of total)
ival-div: 4.0ms (10.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
16.1MiB live, 53.5MiB allocated
Counts
13 → 240
Calls
Call 1
Inputs
#<alt (* (+ a -1/3) (+ 1 (/ rand (sqrt (+ (* 9 a) -3)))))>
#<alt (+ a -1/3)>
#<alt (+ 1 (/ rand (sqrt (+ (* 9 a) -3))))>
#<alt (/ rand (sqrt (+ (* 9 a) -3)))>
#<alt (* (sqrt (+ a -1/3)) (* 1/3 rand))>
#<alt (sqrt (+ a -1/3))>
#<alt (* 1/3 rand)>
#<alt (+ (* (sqrt (+ a -1/3)) (* 1/3 rand)) (+ a -1/3))>
#<alt (+ (* a (* (sqrt (/ 1 a)) (* 1/3 rand))) a)>
#<alt (* (sqrt (/ 1 a)) (* 1/3 rand))>
#<alt (sqrt (/ 1 a))>
#<alt (/ 1 a)>
#<alt (sqrt (+ (* 9 a) -3))>
Outputs
#<alt (* -1/3 (+ 1 (* rand (sqrt -1/3))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt 1>
#<alt (+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))>
#<alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))>
#<alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))>
#<alt (+ 1 (* rand (sqrt -1/3)))>
#<alt (+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))>
#<alt (+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))>
#<alt (+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a)))))))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt -1/3))>
#<alt (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* 1/3 (* rand (sqrt -1/3)))>
#<alt (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (- (* 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 (* (sqrt a) rand))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt a>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (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

60 calls:

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

rewrite416.0ms (4.4%)

Memory
-41.4MiB live, 770.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 740×*-lowering-*.f32
4 740×*-lowering-*.f64
4 164×accelerator-lowering-fma.f32
4 164×accelerator-lowering-fma.f64
4 140×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02395
113490
2111888
0810182
Stop Event
1×iter limit
1×node limit
Counts
13 → 882
Calls
Call 1
Inputs
(* (+ a -1/3) (+ 1 (/ rand (sqrt (+ (* 9 a) -3)))))
(+ a -1/3)
(+ 1 (/ rand (sqrt (+ (* 9 a) -3))))
(/ rand (sqrt (+ (* 9 a) -3)))
(* (sqrt (+ a -1/3)) (* 1/3 rand))
(sqrt (+ a -1/3))
(* 1/3 rand)
(+ (* (sqrt (+ a -1/3)) (* 1/3 rand)) (+ a -1/3))
(+ (* a (* (sqrt (/ 1 a)) (* 1/3 rand))) a)
(* (sqrt (/ 1 a)) (* 1/3 rand))
(sqrt (/ 1 a))
(/ 1 a)
(sqrt (+ (* 9 a) -3))
Outputs
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (/.f64 (*.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a))
(fma.f64 (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 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (neg.f64 rand) #s(literal -1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (+.f64 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 (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 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))))
(/.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
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(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) rand) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal -1/9 binary64))))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) rand) (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 #s(literal 1 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 (/.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 rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (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 #s(literal 1 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 (/.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 rand) (fma.f64 a a #s(literal -1/9 binary64))))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (neg.f64 (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 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 rand)))) (*.f64 (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
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(/.f64 (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 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))) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64))))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (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 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
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(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal -1/9 binary64))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (neg.f64 (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (-.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal -1/9 binary64))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (neg.f64 (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) (-.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (*.f64 (*.f64 (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)))) #s(literal 1 binary64))) (*.f64 (*.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 (-.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 (neg.f64 rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 (*.f64 (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)))) #s(literal 1 binary64))) (*.f64 (*.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 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 (fma.f64 (*.f64 (neg.f64 rand) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (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)))) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (*.f64 (*.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 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
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(/.f64 (neg.f64 (neg.f64 (neg.f64 rand))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
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(pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) rand) #s(literal 1 binary64)) #s(literal -1 binary64))
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(*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal -1 binary64)))
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(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
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(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (sqrt.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64))))))
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(pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))
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(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))
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(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
(+.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 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))
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(+.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 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #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 (*.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 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #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 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a)) (-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))))
(fma.f64 a #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))))
(fma.f64 (+.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 #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 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 (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 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 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))))
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(fma.f64 (*.f64 a (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand a)
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)))) (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (sqrt.f64 a))) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a)) (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (-.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)))) (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (sqrt.f64 a))) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a)) (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a))))))
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (sqrt.f64 a))) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)))) (fma.f64 a (-.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)))))
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (sqrt.f64 a))) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)))) (fma.f64 a a (-.f64 (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) (*.f64 (sqrt.f64 a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) a)))))
(/.f64 (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a))) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a)))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (sqrt.f64 a))) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64))))) (neg.f64 (fma.f64 a (-.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (sqrt.f64 a))) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64))))) (neg.f64 (fma.f64 a a (-.f64 (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) (*.f64 (sqrt.f64 a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) a))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a)))) (neg.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)))) (-.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a))) (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a)) (*.f64 a a))) (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (sqrt.f64 a))) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a)))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))) (neg.f64 (-.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a))) (/.f64 (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a))) (fma.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a)))))))
(pow.f64 (/.f64 (fma.f64 a (-.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)))) (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (sqrt.f64 a))) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a)) (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a)))) #s(literal -1 binary64))
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (sqrt.f64 a))) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))))))
(*.f64 (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) (neg.f64 a))))
(*.f64 (fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a)
(/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) (sqrt.f64 a))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 rand #s(literal 1/3 binary64))) (sqrt.f64 a))
(/.f64 (neg.f64 (*.f64 rand #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 a)))
(/.f64 (neg.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 a)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 rand #s(literal 1/3 binary64)))) (neg.f64 (sqrt.f64 a)))
(*.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 rand #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 a)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 a)) #s(literal -1 binary64)))
(fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) (sqrt.f64 a))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 a)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 a)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 a))))
(pow.f64 a #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 a) #s(literal -1 binary64))
(pow.f64 (pow.f64 a #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) a)))
(*.f64 (pow.f64 a #s(literal -1/4 binary64)) (pow.f64 a #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
(exp.f64 (neg.f64 (log.f64 a)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 a)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 a)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)))
(neg.f64 (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 a))))
(pow.f64 a #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 a) #s(literal -2 binary64))
(pow.f64 (neg.f64 (neg.f64 a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a))
(exp.f64 (*.f64 (log.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (*.f64 a #s(literal -27 binary64))) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64)))))
(/.f64 #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)))

simplify614.0ms (6.5%)

Memory
46.0MiB live, 596.8MiB allocated
Algorithm
1×egg-herbie
Rules
14 380×accelerator-lowering-fma.f32
14 380×accelerator-lowering-fma.f64
5 678×*-lowering-*.f32
5 678×*-lowering-*.f64
3 924×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04603596
114533184
252453100
081522855
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* -1/3 (+ 1 (* rand (sqrt -1/3))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(- a 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
1
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(+ 1 (* rand (sqrt -1/3)))
(+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a)))))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt -1/3))
(+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(- (* 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 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(sqrt -3)
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))
(* 3 (sqrt a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
Outputs
(* -1/3 (+ 1 (* rand (sqrt -1/3))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 a (*.f64 #s(literal 3/8 binary64) rand)) (sqrt.f64 #s(literal -1/3 binary64))))) a))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) a)) (*.f64 a (fma.f64 (*.f64 #s(literal 9/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 (*.f64 #s(literal 15/16 binary64) rand) a) (sqrt.f64 #s(literal -1/3 binary64))))))) a))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal 1/18 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 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(fma.f64 a (+.f64 (/.f64 (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) a) (fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 0 binary64))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (fma.f64 rand (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) a)))) (neg.f64 a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/6 binary64))) a))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(*.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/9 binary64) (/.f64 (fma.f64 (*.f64 rand (sqrt.f64 a)) #s(literal -1/18 binary64) #s(literal 0 binary64)) a))) a)))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
1
#s(literal 1 binary64)
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(+ 1 (* rand (sqrt -1/3)))
(fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))
(fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64)) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))
(fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 a (*.f64 #s(literal 9/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))
(fma.f64 a (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 rand (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 rand (*.f64 a #s(literal 45/8 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a)))))))))
(fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))) (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)))) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64) (*.f64 #s(literal -1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(-.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64)) (/.f64 (*.f64 rand (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3/2 binary64)) (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)) (*.f64 #s(literal 1/54 binary64) (sqrt.f64 a)))) (*.f64 a (*.f64 a a))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt -1/3))
(*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 rand a)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 a (*.f64 #s(literal 9/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))
(fma.f64 a (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 rand (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 rand (*.f64 a #s(literal 45/8 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))
(fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (*.f64 rand (fma.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))) (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (fma.f64 (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)))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64) (*.f64 #s(literal -1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(-.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (/.f64 (*.f64 rand (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3/2 binary64)) (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)) (*.f64 #s(literal 1/54 binary64) (sqrt.f64 a)))) (*.f64 a (*.f64 a a))))
(* 1/3 (* rand (sqrt -1/3)))
(*.f64 (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/3 binary64))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(fma.f64 (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 rand (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(fma.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (*.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (*.f64 rand (/.f64 a (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/8 binary64)))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (*.f64 rand a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (* -1/18 (* (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64) (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 5 binary64)))) #s(literal -1/216 binary64))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 a (*.f64 rand (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/1296 binary64))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(neg.f64 (*.f64 a (*.f64 (neg.f64 rand) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(neg.f64 (*.f64 a (*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(*.f64 (*.f64 (neg.f64 rand) (+.f64 (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/1296 binary64))))) (neg.f64 a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (fma.f64 #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 (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) (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 7 binary64)))) #s(literal -1/432 binary64))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (neg.f64 a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (neg.f64 a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))) (neg.f64 a))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(fma.f64 (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/3 binary64) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) #s(literal 1 binary64))) #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 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(*.f64 a (fma.f64 #s(literal 1/3 binary64) (fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1 binary64) a)) #s(literal 1 binary64)))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 a (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 a (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64)))) (/.f64 #s(literal -1/3 binary64) a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(*.f64 a (fma.f64 #s(literal 1/3 binary64) (fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1 binary64) a)) #s(literal 1 binary64)))
(* -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 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #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 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/216 binary64) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)))) 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 rand #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) a)
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 a (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 a (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 a (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 a (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64)))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(sqrt -3)
(sqrt.f64 #s(literal -3 binary64))
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(fma.f64 a (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 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 #s(literal 729/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 27/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64) (fma.f64 (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))))))
(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))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64))))) (neg.f64 a))

eval768.0ms (8.1%)

Memory
-0.4MiB live, 301.0MiB allocated
Compiler

Compiled 43 473 to 3 475 computations (92% saved)

prune435.0ms (4.6%)

Memory
-8.0MiB live, 395.3MiB allocated
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1 411101 421
Fresh202
Picked325
Done000
Total1 416121 428
Accuracy
100.0%
Counts
1 428 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(fma.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a a)
▶98.2%
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
▶98.2%
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
98.2%
(fma.f64 (*.f64 a (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand a)
▶98.2%
(fma.f64 a (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand) a)
✓59.0%
(+.f64 a #s(literal -1/3 binary64))
✓99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
42.1%
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64))
41.6%
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
▶41.6%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
57.9%
a
▶1.5%
#s(literal -1/3 binary64)
Compiler

Compiled 186 to 132 computations (29% saved)

simplify16.0ms (0.2%)

Memory
3.0MiB live, 41.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
✓cost-diff0
(fma.f64 a (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand) a)
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(*.f64 (sqrt.f64 a) rand)
✓cost-diff0
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(*.f64 rand (sqrt.f64 a))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
✓cost-diff0
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
Rules
208×*-lowering-*.f32
208×*-lowering-*.f64
108×associate-*l*
90×associate-*r*
72×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01775
13375
25375
37475
49075
59575
613975
715575
820975
921075
1026375
1126375
1226675
1327375
1427375
027372
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (* (sqrt a) 1/3) rand) a)
(* (sqrt a) 1/3)
(sqrt a)
a
1/3
rand
-1/3
(* 1/3 (* rand (sqrt a)))
1/3
(* rand (sqrt a))
rand
(sqrt a)
a
(+ (* (* (sqrt a) rand) 1/3) a)
(* (sqrt a) rand)
(sqrt a)
a
rand
1/3
(+ (* a (* (/ 1/3 (sqrt a)) rand)) a)
a
(* (/ 1/3 (sqrt a)) rand)
(/ 1/3 (sqrt a))
1/3
(sqrt a)
rand
Outputs
(+ (* (* (sqrt a) 1/3) rand) a)
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(* (sqrt a) 1/3)
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(sqrt a)
(sqrt.f64 a)
a
1/3
#s(literal 1/3 binary64)
rand
-1/3
#s(literal -1/3 binary64)
(* 1/3 (* rand (sqrt a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
1/3
#s(literal 1/3 binary64)
(* rand (sqrt a))
(*.f64 (sqrt.f64 a) rand)
rand
(sqrt a)
(sqrt.f64 a)
a
(+ (* (* (sqrt a) rand) 1/3) a)
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(sqrt a)
(sqrt.f64 a)
a
rand
1/3
#s(literal 1/3 binary64)
(+ (* a (* (/ 1/3 (sqrt a)) rand)) a)
(fma.f64 a (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a)) a)
a
(* (/ 1/3 (sqrt a)) rand)
(/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a))
(/ 1/3 (sqrt a))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
1/3
#s(literal 1/3 binary64)
(sqrt a)
(sqrt.f64 a)
rand

localize91.0ms (1%)

Memory
17.3MiB live, 135.5MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.9%
(fma.f64 a (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand) a)
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.8%
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
✓accuracy99.6%
(*.f64 (sqrt.f64 a) rand)
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.6%
(*.f64 rand (sqrt.f64 a))
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.9%
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
✓accuracy99.4%
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
Samples
71.0ms256×0valid
Compiler

Compiled 74 to 19 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
const: 34.0ms (61.4% of total)
ival-mult: 14.0ms (25.3% of total)
ival-add: 3.0ms (5.4% of total)
ival-div: 2.0ms (3.6% of total)
ival-sqrt: 2.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
-16.7MiB live, 20.9MiB allocated
Counts
10 → 204
Calls
Call 1
Inputs
#<alt (+ (* (* (sqrt a) 1/3) rand) a)>
#<alt (* (sqrt a) 1/3)>
#<alt (sqrt a)>
#<alt (* 1/3 (* rand (sqrt a)))>
#<alt (* rand (sqrt a))>
#<alt (+ (* (* (sqrt a) rand) 1/3) a)>
#<alt (* (sqrt a) rand)>
#<alt (+ (* a (* (/ 1/3 (sqrt a)) rand)) a)>
#<alt (* (/ 1/3 (sqrt a)) rand)>
#<alt (/ 1/3 (sqrt a))>
Outputs
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt a>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* 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 (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt a>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
Calls

51 calls:

TimeVariablePointExpression
7.0ms
a
@-inf
(+ (* a (* (/ 1/3 (sqrt a)) rand)) a)
1.0ms
a
@-inf
(/ 1/3 (sqrt a))
1.0ms
a
@-inf
(* (sqrt a) 1/3)
0.0ms
rand
@0
(* 1/3 (* rand (sqrt a)))
0.0ms
a
@-inf
(* (/ 1/3 (sqrt a)) rand)

rewrite322.0ms (3.4%)

Memory
-5.2MiB live, 584.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 854×accelerator-lowering-fma.f32
7 854×accelerator-lowering-fma.f64
4 676×*-lowering-*.f32
4 676×*-lowering-*.f64
1 540×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01654
17654
257554
3484054
0950151
Stop Event
1×iter limit
1×node limit
Counts
10 → 578
Calls
Call 1
Inputs
(+ (* (* (sqrt a) 1/3) rand) a)
(* (sqrt a) 1/3)
(sqrt a)
(* 1/3 (* rand (sqrt a)))
(* rand (sqrt a))
(+ (* (* (sqrt a) rand) 1/3) a)
(* (sqrt a) rand)
(+ (* a (* (/ 1/3 (sqrt a)) rand)) a)
(* (/ 1/3 (sqrt a)) rand)
(/ 1/3 (sqrt a))
Outputs
(+.f64 a (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) a)
(+.f64 (/.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))) (/.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))))
(fma.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(fma.f64 a #s(literal 1 binary64) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(fma.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 a (/.f64 (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64)) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 a (exp.f64 (log.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(fma.f64 (sqrt.f64 a) (/.f64 (*.f64 (sqrt.f64 a) (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 (sqrt.f64 a) (exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) rand))) a)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 a rand)) a)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) a) a)
(fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a (*.f64 rand rand))) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) a)
(fma.f64 rand (/.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(fma.f64 (*.f64 (sqrt.f64 a) rand) (/.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/9 binary64)) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (*.f64 a rand) a)
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (exp.f64 (log.f64 (*.f64 a rand))) a)
(fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a a)
(fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (/.f64 (*.f64 (sqrt.f64 a) (*.f64 a (*.f64 #s(literal 1/3 binary64) rand))) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) (*.f64 a rand)) a)
(fma.f64 (*.f64 a a) (/.f64 (/.f64 (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64)) a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 (*.f64 (sqrt.f64 a) (*.f64 a (*.f64 #s(literal 1/3 binary64) rand))) (/.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 #s(literal 1 binary64) a (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) a)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 a (*.f64 #s(literal 1/3 binary64) rand)) a)
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (/.f64 (*.f64 (sqrt.f64 a) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) rand)) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (exp.f64 (log.f64 rand)) a)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) a)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 (*.f64 a (*.f64 #s(literal 1/3 binary64) rand)) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 a #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(fma.f64 (pow.f64 a #s(literal 1/4 binary64)) (*.f64 (pow.f64 a #s(literal 1/4 binary64)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(fma.f64 (/.f64 (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64)) a) (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 (*.f64 rand rand) (/.f64 (*.f64 a #s(literal 1/9 binary64)) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64)) (/.f64 a (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 (*.f64 a #s(literal 1/9 binary64)) (/.f64 (*.f64 rand rand) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 a (*.f64 rand rand)) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 (*.f64 a (*.f64 rand rand)) (/.f64 #s(literal 1/9 binary64) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 (*.f64 a #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 a)) a)
(fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) a) (/.f64 a (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 (*.f64 a rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(fma.f64 (*.f64 (sqrt.f64 a) (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (/.f64 (sqrt.f64 a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 (*.f64 (sqrt.f64 a) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) rand)) (/.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (/.f64 rand (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a (*.f64 rand rand))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
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(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
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(fma.f64 (*.f64 (*.f64 a rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/3 binary64) a)
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 a #s(literal 1/4 binary64))) (pow.f64 a #s(literal 1/4 binary64)) a)
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(fma.f64 (exp.f64 (log.f64 rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) a)
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) rand))) (sqrt.f64 a) a)
(fma.f64 (exp.f64 (log.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))) a a)
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(fma.f64 (exp.f64 (log.f64 (*.f64 a rand))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64))) (fma.f64 a a (*.f64 #s(literal -1/9 binary64) (*.f64 a (*.f64 rand rand))))))
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(/.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (*.f64 a a))) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal -1/3 binary64)) (neg.f64 (neg.f64 a))))
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(/.f64 (-.f64 (*.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/729 binary64)))) (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a a)))) (*.f64 (fma.f64 rand (-.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (*.f64 a (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a a)) (-.f64 (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64))) (*.f64 a (*.f64 a a)))))
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/729 binary64)))) (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64)) (*.f64 a a)) (*.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a (*.f64 rand rand)) (*.f64 a (*.f64 rand rand))))) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a (*.f64 rand rand)) (*.f64 a (*.f64 rand rand)))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 (fma.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64)) (*.f64 a a)) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)))))) (neg.f64 (neg.f64 (fma.f64 rand (-.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (*.f64 a (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a a)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (*.f64 a a)))) (neg.f64 (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal -1/3 binary64)) (neg.f64 (neg.f64 a)))))
(/.f64 (neg.f64 (fma.f64 a a (*.f64 #s(literal -1/9 binary64) (*.f64 a (*.f64 rand rand))))) (neg.f64 (+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) #s(literal 3 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))) (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))))) (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (/.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (fma.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (*.f64 (/.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (/.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))) (*.f64 (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))))) (fma.f64 a (/.f64 (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64)) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)))) #s(literal 1 binary64)) (fma.f64 rand (-.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (*.f64 a (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a a)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (sqrt.f64 a))) #s(literal 1/19683 binary64)) (*.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 rand (*.f64 rand rand)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 rand (-.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (*.f64 a (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a a)))) (fma.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)))) (*.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/729 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/729 binary64)))) (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 rand (-.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (*.f64 a (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a a)))) (-.f64 (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64))) (*.f64 a (*.f64 a a))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/729 binary64)))) (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64)) (*.f64 a a)) (*.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a (*.f64 rand rand)) (*.f64 a (*.f64 rand rand))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a (*.f64 rand rand)) (*.f64 a (*.f64 rand rand)))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))) (fma.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64)) (*.f64 a a)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64))) (fma.f64 a a (*.f64 #s(literal -1/9 binary64) (*.f64 a (*.f64 rand rand))))) #s(literal -1 binary64))
(*.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a) (*.f64 (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)))))
(*.f64 (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a) (/.f64 (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a)) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))))
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 rand (-.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (*.f64 a (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a a))))
(*.f64 (fma.f64 rand (-.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (*.f64 a (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a a)) (*.f64 (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a) (/.f64 #s(literal 1 binary64) (fma.f64 rand (-.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (*.f64 a (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a a)))))
(*.f64 (fma.f64 rand (-.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (*.f64 a (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a a)) (/.f64 (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a) (fma.f64 rand (-.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (*.f64 a (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a a))))
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a))
(*.f64 (-.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))))
(*.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 rand (-.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (*.f64 a (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a a)))))
(*.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal -1/3 binary64)) (neg.f64 (neg.f64 a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 rand (-.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (*.f64 a (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (*.f64 a a))) (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 a))) (-.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (*.f64 a a)))
(*.f64 (fma.f64 a a (*.f64 #s(literal -1/9 binary64) (*.f64 a (*.f64 rand rand)))) (/.f64 #s(literal 1 binary64) (+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)) #s(literal 1 binary64)) a)
(*.f64 (/.f64 (-.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (*.f64 a a)) (-.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (*.f64 a a))) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a))
(*.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 rand (*.f64 rand rand)) (*.f64 rand (*.f64 rand rand)))) (*.f64 (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))) (*.f64 (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))))))) (fma.f64 (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))) (-.f64 (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))) (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64)))) (*.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a (*.f64 rand rand)) (*.f64 a (*.f64 rand rand))))))
(*.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64)))) (-.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a (*.f64 rand rand)) (*.f64 a (*.f64 rand rand)))) (*.f64 (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64))))))) (-.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64))))))
(*.f64 (/.f64 (-.f64 (*.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64))) (*.f64 a a)) (-.f64 (*.f64 (*.f64 a (sqrt.f64 a)) (*.f64 (*.f64 rand (*.f64 rand rand)) #s(literal 1/27 binary64))) (*.f64 a (*.f64 a a)))) (fma.f64 a (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64)) (*.f64 a (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand)) #s(literal -1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) rand))
(neg.f64 (*.f64 rand (/.f64 #s(literal -1/3 binary64) (sqrt.f64 a))))
(neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (neg.f64 (sqrt.f64 a))))
(neg.f64 (/.f64 (*.f64 rand #s(literal -1/3 binary64)) (sqrt.f64 a)))
(/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand)))
(/.f64 (*.f64 rand #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 a)))
(/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (sqrt.f64 a))
(/.f64 (neg.f64 rand) (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))
(/.f64 (neg.f64 (*.f64 rand #s(literal -1/3 binary64))) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 a #s(literal 1/4 binary64))) (pow.f64 a #s(literal 1/4 binary64)))
(/.f64 (*.f64 rand #s(literal -1 binary64)) (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 a)))
(/.f64 (*.f64 #s(literal -1 binary64) rand) (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))
(/.f64 (/.f64 (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (sqrt.f64 a))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))
(*.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
(*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) rand))
(*.f64 #s(literal -1/3 binary64) (/.f64 rand (neg.f64 (sqrt.f64 a))))
(*.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
(*.f64 (*.f64 rand #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 a)))
(*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 a #s(literal 1/4 binary64))))
(*.f64 (/.f64 rand (pow.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 1/4 binary64))))
(*.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 a)))
(*.f64 (/.f64 rand (neg.f64 (sqrt.f64 a))) #s(literal -1/3 binary64))
(*.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 a)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 a)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 a))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (sqrt.f64 a)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 1/4 binary64))) (pow.f64 a #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 a)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 a)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) #s(literal -1/3 binary64))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) #s(literal -1/2 binary64)))

simplify241.0ms (2.5%)

Memory
-22.0MiB live, 332.4MiB allocated
Algorithm
1×egg-herbie
Rules
3 506×accelerator-lowering-fma.f32
3 506×accelerator-lowering-fma.f64
2 648×*-lowering-*.f32
2 648×*-lowering-*.f64
1 314×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0451305
11231305
23931305
39601305
424781305
548801305
665531305
774021305
876441305
979431305
080361245
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
Outputs
(* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) 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)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* rand (+ (* 1/3 (sqrt a)) (/ 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))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) 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)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* rand (+ (* 1/3 (sqrt a)) (/ 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))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* 1/3 (* (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) 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)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* rand (+ (* 1/3 (sqrt a)) (/ 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))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))

eval110.0ms (1.2%)

Memory
1.6MiB live, 280.9MiB allocated
Compiler

Compiled 16 199 to 1 069 computations (93.4% saved)

prune103.0ms (1.1%)

Memory
-8.4MiB live, 154.7MiB allocated
Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New9176923
Fresh325
Picked055
Done022
Total92015935
Accuracy
100.0%
Counts
935 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.2%
(fma.f64 (/.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand a)
✓98.2%
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
✓98.2%
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
✓98.2%
(fma.f64 a (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand) a)
✓59.0%
(+.f64 a #s(literal -1/3 binary64))
▶41.5%
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
✓99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
42.1%
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64))
▶41.6%
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
41.5%
(*.f64 (*.f64 a #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 a)))
41.6%
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a))
▶41.5%
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) a))
✓41.6%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
▶57.9%
a
✓1.5%
#s(literal -1/3 binary64)
Compiler

Compiled 196 to 142 computations (27.6% saved)

simplify7.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
✓cost-diff0
(/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))
✓cost-diff0
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(/.f64 rand (sqrt.f64 a))
✓cost-diff0
(*.f64 (/.f64 rand (sqrt.f64 a)) a)
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) a))
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(/.f64 (sqrt.f64 a) #s(literal 3 binary64))
✓cost-diff0
(fma.f64 (/.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand a)
Rules
128×*-lowering-*.f32
128×*-lowering-*.f64
44×*-commutative
42×/-lowering-/.f32
42×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01679
13479
27079
39679
410979
511179
011178
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (/ (sqrt a) 3) rand) a)
(/ (sqrt a) 3)
(sqrt a)
a
3
rand
a
(* (* (sqrt a) 1/3) rand)
(* (sqrt a) 1/3)
(sqrt a)
a
1/3
rand
(* 1/3 (* (/ rand (sqrt a)) a))
1/3
(* (/ rand (sqrt a)) a)
(/ rand (sqrt a))
rand
(sqrt a)
a
(* (/ rand (* (sqrt a) 3)) a)
(/ rand (* (sqrt a) 3))
rand
(* (sqrt a) 3)
(sqrt a)
a
3
Outputs
(+ (* (/ (sqrt a) 3) rand) a)
(fma.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)) a)
(/ (sqrt a) 3)
(/.f64 (sqrt.f64 a) #s(literal 3 binary64))
(sqrt a)
(sqrt.f64 a)
a
3
#s(literal 3 binary64)
rand
a
(* (* (sqrt a) 1/3) rand)
(*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(* (sqrt a) 1/3)
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(sqrt a)
(sqrt.f64 a)
a
1/3
#s(literal 1/3 binary64)
rand
(* 1/3 (* (/ rand (sqrt a)) a))
(*.f64 rand (*.f64 a (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
1/3
#s(literal 1/3 binary64)
(* (/ rand (sqrt a)) a)
(*.f64 a (/.f64 rand (sqrt.f64 a)))
(/ rand (sqrt a))
(/.f64 rand (sqrt.f64 a))
rand
(sqrt a)
(sqrt.f64 a)
a
(* (/ rand (* (sqrt a) 3)) a)
(/.f64 (*.f64 a rand) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))
(/ rand (* (sqrt a) 3))
(/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))
rand
(* (sqrt a) 3)
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(sqrt a)
(sqrt.f64 a)
a
3
#s(literal 3 binary64)

localize64.0ms (0.7%)

Memory
3.0MiB live, 155.2MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.6%
(/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))
✓accuracy99.4%
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
✓accuracy92.4%
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.6%
(/.f64 rand (sqrt.f64 a))
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) a))
✓accuracy92.3%
(*.f64 (/.f64 rand (sqrt.f64 a)) a)
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.7%
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
✓accuracy99.4%
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.9%
(fma.f64 (/.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand a)
✓accuracy99.5%
(/.f64 (sqrt.f64 a) #s(literal 3 binary64))
Samples
40.0ms256×0valid
Compiler

Compiled 80 to 18 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 10.0ms (42.5% of total)
ival-div: 5.0ms (21.2% of total)
const: 5.0ms (21.2% of total)
ival-sqrt: 2.0ms (8.5% of total)
ival-add: 1.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
11 → 216
Calls
Call 1
Inputs
#<alt (+ (* (/ (sqrt a) 3) rand) a)>
#<alt (/ (sqrt a) 3)>
#<alt (sqrt a)>
#<alt (* (* (sqrt a) 1/3) rand)>
#<alt (* (sqrt a) 1/3)>
#<alt (* 1/3 (* (/ rand (sqrt a)) a))>
#<alt (* (/ rand (sqrt a)) a)>
#<alt (/ rand (sqrt a))>
#<alt (* (/ rand (* (sqrt a) 3)) a)>
#<alt (/ rand (* (sqrt a) 3))>
#<alt (* (sqrt a) 3)>
Outputs
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt a>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (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) 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))>
#<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 (* 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))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (* (sqrt (/ 1 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))>
#<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 (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
Calls

54 calls:

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

rewrite408.0ms (4.3%)

Memory
-9.9MiB live, 595.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 814×accelerator-lowering-fma.f32
4 814×accelerator-lowering-fma.f64
4 058×*-lowering-*.f32
4 058×*-lowering-*.f64
3 798×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01656
16756
240154
3387854
0882553
Stop Event
1×iter limit
1×node limit
Counts
11 → 879
Calls
Call 1
Inputs
(+ (* (/ (sqrt a) 3) rand) a)
(/ (sqrt a) 3)
(sqrt a)
(* (* (sqrt a) 1/3) rand)
(* (sqrt a) 1/3)
(* 1/3 (* (/ rand (sqrt a)) a))
(* (/ rand (sqrt a)) a)
(/ rand (sqrt a))
(* (/ rand (* (sqrt a) 3)) a)
(/ rand (* (sqrt a) 3))
(* (sqrt a) 3)
Outputs
(+.f64 a (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))))
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))) a)
(+.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))) (/.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))))
(fma.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(fma.f64 a #s(literal 1 binary64) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 a (/.f64 (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64)) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a)))))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)
(fma.f64 (sqrt.f64 a) (/.f64 (*.f64 (*.f64 (*.f64 rand rand) #s(literal 1/9 binary64)) (sqrt.f64 a)) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a)))))
(fma.f64 (sqrt.f64 a) (exp.f64 (log.f64 (*.f64 rand #s(literal 1/3 binary64)))) a)
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) rand)) a)
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (*.f64 rand rand)) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a)))))
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (exp.f64 (log.f64 rand)) a)
(fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) a)
(fma.f64 rand (*.f64 (/.f64 (sqrt.f64 a) a) (*.f64 a #s(literal 1/3 binary64))) a)
(fma.f64 rand (/.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a)))))
(fma.f64 (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))) (/.f64 (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(fma.f64 #s(literal 1/3 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) a)) a)
(fma.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 a #s(literal 1/3 binary64)) a)
(fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a a)
(fma.f64 (neg.f64 (sqrt.f64 a)) (neg.f64 (sqrt.f64 a)) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 a)) (*.f64 #s(literal -1/3 binary64) rand) a)
(fma.f64 (neg.f64 (sqrt.f64 a)) (/.f64 rand #s(literal -3 binary64)) a)
(fma.f64 (neg.f64 rand) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) (*.f64 a #s(literal 1/3 binary64))) a)
(fma.f64 (neg.f64 rand) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) a) a)
(fma.f64 (neg.f64 rand) (/.f64 a (*.f64 (sqrt.f64 a) #s(literal -3 binary64))) a)
(fma.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a)))))
(fma.f64 #s(literal 1 binary64) a (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))) a)
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (*.f64 a rand) a)
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 a (/.f64 #s(literal 1 binary64) rand)) a)
(fma.f64 (/.f64 (sqrt.f64 a) a) (*.f64 a (*.f64 rand #s(literal 1/3 binary64))) a)
(fma.f64 (/.f64 (sqrt.f64 a) a) (/.f64 a (/.f64 #s(literal 3 binary64) rand)) a)
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(fma.f64 (*.f64 a rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(fma.f64 (neg.f64 (/.f64 rand (sqrt.f64 a))) (/.f64 a #s(literal -3 binary64)) a)
(fma.f64 (*.f64 a (neg.f64 rand)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) a)
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 a) rand)) #s(literal -1/3 binary64) a)
(fma.f64 (*.f64 a #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 a)) a)
(fma.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 a #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 a #s(literal 1/4 binary64)) (*.f64 (pow.f64 a #s(literal 1/4 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a)
(fma.f64 (*.f64 a #s(literal 1/9 binary64)) (/.f64 (*.f64 rand rand) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a)))))
(fma.f64 (*.f64 rand rand) (/.f64 (*.f64 a #s(literal 1/9 binary64)) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a)))))
(fma.f64 (*.f64 a (*.f64 rand #s(literal 1/3 binary64))) (/.f64 (sqrt.f64 a) a) a)
(fma.f64 (*.f64 a (*.f64 rand #s(literal 1/3 binary64))) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (*.f64 rand rand)) (/.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a)))))
(fma.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (/.f64 rand (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a)))))
(fma.f64 (pow.f64 a #s(literal 3/4 binary64)) (pow.f64 a #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 rand #s(literal -3 binary64)) (neg.f64 (sqrt.f64 a)) a)
(fma.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 a (neg.f64 (sqrt.f64 a))) a)
(fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 (*.f64 a rand) (pow.f64 a #s(literal 1/4 binary64))) a)
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))) a)
(fma.f64 (/.f64 rand #s(literal 1 binary64)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) a)
(fma.f64 (/.f64 a (neg.f64 (sqrt.f64 a))) (/.f64 rand #s(literal -3 binary64)) a)
(fma.f64 (/.f64 a #s(literal -3 binary64)) (neg.f64 (/.f64 rand (sqrt.f64 a))) a)
(fma.f64 (/.f64 (*.f64 a rand) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 1/4 binary64))) a)
(fma.f64 (*.f64 (*.f64 a rand) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(fma.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal 1/4 binary64))) (pow.f64 a #s(literal 1/4 binary64)) a)
(fma.f64 (*.f64 (*.f64 a #s(literal 1/3 binary64)) (neg.f64 rand)) (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) a)
(fma.f64 (*.f64 (*.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 rand (sqrt.f64 a)) a)
(fma.f64 (*.f64 (*.f64 a #s(literal 1/3 binary64)) (/.f64 (sqrt.f64 a) a)) rand a)
(fma.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (-.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 a a))) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a)))))
(fma.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (-.f64 (*.f64 (*.f64 (*.f64 a (sqrt.f64 a)) #s(literal 1/27 binary64)) (*.f64 rand (*.f64 rand rand))) (*.f64 a (*.f64 a a)))) (fma.f64 a (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a) (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a)))))
(fma.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(fma.f64 (/.f64 a (*.f64 (sqrt.f64 a) #s(literal -3 binary64))) (neg.f64 rand) a)
(fma.f64 (exp.f64 (log.f64 rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) a)
(fma.f64 (exp.f64 (log.f64 (*.f64 rand #s(literal 1/3 binary64)))) (sqrt.f64 a) a)
(fma.f64 (exp.f64 (log.f64 (*.f64 (sqrt.f64 a) rand))) (exp.f64 (log.f64 #s(literal 1/3 binary64))) a)
(fma.f64 (exp.f64 (log.f64 #s(literal 1/3 binary64))) (exp.f64 (log.f64 (*.f64 (sqrt.f64 a) rand))) a)
(neg.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (*.f64 a (sqrt.f64 a)) #s(literal 1/27 binary64)) (*.f64 rand (*.f64 rand rand)))) (neg.f64 (fma.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64))) (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand))))))
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 a a)) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal -1/3 binary64) rand) (neg.f64 (neg.f64 a)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (*.f64 a (sqrt.f64 a)) #s(literal 1/27 binary64)) (*.f64 rand (*.f64 rand rand))))) (fma.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64))) (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 a a))) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (neg.f64 a))))
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (*.f64 a (sqrt.f64 a)) #s(literal 1/27 binary64)) (*.f64 rand (*.f64 rand rand)))) (fma.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64))) (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)))
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(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 rand #s(literal 1/3 binary64))) (sqrt.f64 a))
(/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) (sqrt.f64 a))
(/.f64 (*.f64 (neg.f64 rand) #s(literal 1 binary64)) (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) rand)) (neg.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal 1/4 binary64))) (pow.f64 a #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (sqrt.f64 a))
(/.f64 (neg.f64 (/.f64 rand #s(literal -3 binary64))) (sqrt.f64 a))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 rand))) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) rand))) (neg.f64 (sqrt.f64 a)))
(/.f64 (neg.f64 (/.f64 rand #s(literal 1 binary64))) (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 rand #s(literal 1/3 binary64)))) (neg.f64 (sqrt.f64 a)))
(/.f64 (neg.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 a)))
(/.f64 (neg.f64 (*.f64 (neg.f64 rand) #s(literal 1 binary64))) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) rand))) (sqrt.f64 a))
(/.f64 (neg.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1 binary64))) (sqrt.f64 a))
(/.f64 (neg.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 a #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 a)))
(pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand) (/.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand))) #s(literal -1 binary64))
(*.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 rand) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 a)))
(*.f64 (neg.f64 rand) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (/.f64 (sqrt.f64 a) a) (*.f64 rand #s(literal 1/3 binary64)))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 (sqrt.f64 a) a))
(*.f64 #s(literal -1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))
(*.f64 (neg.f64 (/.f64 rand (sqrt.f64 a))) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (neg.f64 (/.f64 rand (sqrt.f64 a))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) (/.f64 rand #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) (neg.f64 rand))
(*.f64 (*.f64 #s(literal -1/3 binary64) rand) (/.f64 #s(literal -1 binary64) (sqrt.f64 a)))
(*.f64 (/.f64 rand (pow.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 a #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 rand)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 a)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 rand #s(literal 1/3 binary64))) (/.f64 (sqrt.f64 a) a))
(*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 a) a))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))
(neg.f64 (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))
(/.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 a) #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 a)))
(pow.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 a)) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (neg.f64 (sqrt.f64 a)))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))
(*.f64 (pow.f64 a #s(literal 1/4 binary64)) (*.f64 (pow.f64 a #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 a #s(literal 1/4 binary64))) (pow.f64 a #s(literal 1/4 binary64)))

simplify478.0ms (5%)

Memory
-3.2MiB live, 277.9MiB allocated
Algorithm
1×egg-herbie
Rules
3 198×accelerator-lowering-fma.f32
3 198×accelerator-lowering-fma.f64
2 542×*-lowering-*.f32
2 542×*-lowering-*.f64
2 298×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0431243
11141243
23451243
38631243
416891243
553391243
677311243
081061223
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* 1/3 (* (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) 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))
(* 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))
(* 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))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* (sqrt (/ 1 a)) rand)
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) 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 (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
Outputs
(* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) a)
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) a)) 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)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* rand (+ (* 1/3 (sqrt a)) (/ 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))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.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))
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.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 (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))

eval148.0ms (1.6%)

Memory
-1.0MiB live, 344.0MiB allocated
Compiler

Compiled 15 471 to 1 767 computations (88.6% saved)

prune163.0ms (1.7%)

Memory
-0.9MiB live, 284.5MiB allocated
Pruning

17 alts after pruning (5 fresh and 12 done)

PrunedKeptTotal
New1 27141 275
Fresh213
Picked055
Done077
Total1 273171 290
Accuracy
100.0%
Counts
1 290 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.2%
(fma.f64 (/.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand a)
✓98.2%
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
✓98.2%
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
✓98.2%
(fma.f64 a (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand) a)
41.6%
(/.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 3 binary64))
✓59.0%
(+.f64 a #s(literal -1/3 binary64))
41.6%
(*.f64 (/.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand)
✓41.5%
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
41.6%
(*.f64 (/.f64 rand #s(literal -3 binary64)) (neg.f64 (sqrt.f64 a)))
✓99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
42.1%
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64))
✓41.6%
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
41.6%
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
✓41.5%
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) a))
✓41.6%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
✓57.9%
a
✓1.5%
#s(literal -1/3 binary64)
Compiler

Compiled 369 to 176 computations (52.3% saved)

regimes36.0ms (0.4%)

Memory
17.5MiB live, 59.0MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
(fma.f64 (*.f64 (sqrt.f64 a) rand) #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))
(*.f64 (/.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand)
(/.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 3 binary64))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand a)
(*.f64 (/.f64 rand #s(literal -3 binary64)) (neg.f64 (sqrt.f64 a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) a))
(*.f64 (*.f64 a #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(fma.f64 a (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand) a)
(fma.f64 (*.f64 a (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand a)
(fma.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a 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))))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Outputs
(*.f64 (+.f64 a #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))))))
Calls

4 calls:

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)))
8.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
8.0ms
a
8.0ms
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)

regimes35.0ms (0.4%)

Memory
-20.3MiB live, 54.5MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
(fma.f64 (*.f64 (sqrt.f64 a) rand) #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))
(*.f64 (/.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand)
(/.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 3 binary64))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand a)
(*.f64 (/.f64 rand #s(literal -3 binary64)) (neg.f64 (sqrt.f64 a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) a))
(*.f64 (*.f64 a #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(fma.f64 a (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand) a)
(fma.f64 (*.f64 a (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand a)
(fma.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) a 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)))
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:

10.0ms
a
9.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
7.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
7.0ms
rand
Results
AccuracySegmentsBranch
99.8%1a
99.8%1rand
99.8%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
99.8%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes19.0ms (0.2%)

Memory
34.9MiB live, 34.9MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
(fma.f64 (*.f64 (sqrt.f64 a) rand) #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))
(*.f64 (/.f64 (sqrt.f64 a) #s(literal 3 binary64)) rand)
(/.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 3 binary64))
Outputs
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
Calls

4 calls:

5.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
5.0ms
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)))
4.0ms
rand
Results
AccuracySegmentsBranch
98.2%1a
98.2%1rand
98.2%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)))
98.2%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes16.0ms (0.2%)

Memory
-6.8MiB live, 29.0MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
Outputs
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
Calls

4 calls:

6.0ms
(-.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
3.0ms
a
Results
AccuracySegmentsBranch
64.0%3a
94.6%3rand
82.9%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%3(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes3.0ms (0%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
Outputs
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 a #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
Calls

1 calls:

3.0ms
rand
Results
AccuracySegmentsBranch
94.6%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
-37.7MiB live, 6.2MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
Outputs
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(+.f64 a #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
Calls

1 calls:

6.0ms
rand
Results
AccuracySegmentsBranch
94.6%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
19.0MiB live, 19.0MiB 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

4 calls:

2.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
2.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
2.0ms
rand
2.0ms
a
Results
AccuracySegmentsBranch
59.0%1a
59.0%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
59.0%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)))
59.0%1rand
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes7.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
Outputs
a
Calls

4 calls:

2.0ms
a
2.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
2.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
2.0ms
rand
Results
AccuracySegmentsBranch
57.9%1rand
57.9%1a
57.9%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)))
57.9%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes7.0ms (0.1%)

Memory
-21.1MiB live, 17.7MiB 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:

3.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
1.0ms
a
1.0ms
rand
Results
AccuracySegmentsBranch
1.5%1a
1.5%1rand
1.5%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
1.5%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

bsearch33.0ms (0.3%)

Memory
3.4MiB live, 80.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
6.028574173798092e+35
2.3396807709828434e+39
15.0ms
-1.7155037507717798e+100
-3.5879048501820286e+96
Samples
19.0ms256×0valid
Compiler

Compiled 265 to 210 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (31.5% of total)
ival-mult: 4.0ms (31.5% of total)
ival-sqrt: 2.0ms (15.8% of total)
ival-sub: 1.0ms (7.9% of total)
ival-add: 1.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Memory
12.4MiB live, 53.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
6.028574173798092e+35
2.3396807709828434e+39
16.0ms
-1.7155037507717798e+100
-3.5879048501820286e+96
Samples
21.0ms256×0valid
Compiler

Compiled 265 to 210 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 4.0ms (26.8% of total)
ival-mult: 4.0ms (26.8% of total)
ival-add: 3.0ms (20.1% of total)
ival-sqrt: 2.0ms (13.4% of total)
ival-sub: 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)

bsearch33.0ms (0.3%)

Memory
-22.8MiB live, 54.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
6.028574173798092e+35
2.3396807709828434e+39
15.0ms
-1.7155037507717798e+100
-3.5879048501820286e+96
Samples
19.0ms256×0valid
Compiler

Compiled 265 to 210 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (31.4% of total)
ival-mult: 4.0ms (31.4% of total)
ival-sqrt: 2.0ms (15.7% of total)
ival-sub: 1.0ms (7.9% of total)
ival-add: 1.0ms (7.9% 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
16.3MiB live, 16.2MiB allocated
Algorithm
1×egg-herbie
Rules
14×*-commutative_binary64
4×+-commutative_binary64
2×1-exp_binary64
2×if-if-or-not_binary32
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036100
151100
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(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 a) #s(literal 1/3 binary64)) rand a)
(if (<=.f64 rand #s(literal -29999999999999998413001035302960403553154149691847005861786716180345274986460457834854606927036416 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 2300000000000000118227819322796010373120 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
(if (<=.f64 rand #s(literal -6199999999999999621429878227566788845790870446119243017623243243621890131269213115585986337701888 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 2300000000000000118227819322796010373120 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -249999999999999991834042201029172818462383296451638868229490444867823961480431965652184967113867264 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 2300000000000000118227819322796010373120 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)
Outputs
(*.f64 (+.f64 a #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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand a)
(if (<=.f64 rand #s(literal -29999999999999998413001035302960403553154149691847005861786716180345274986460457834854606927036416 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 2300000000000000118227819322796010373120 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
(if (<=.f64 rand #s(literal -29999999999999998413001035302960403553154149691847005861786716180345274986460457834854606927036416 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (if (<=.f64 rand #s(literal 2300000000000000118227819322796010373120 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -6199999999999999621429878227566788845790870446119243017623243243621890131269213115585986337701888 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 2300000000000000118227819322796010373120 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -6199999999999999621429878227566788845790870446119243017623243243621890131269213115585986337701888 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (if (<=.f64 rand #s(literal 2300000000000000118227819322796010373120 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -249999999999999991834042201029172818462383296451638868229490444867823961480431965652184967113867264 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 2300000000000000118227819322796010373120 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)

soundness1.3s (14.2%)

Memory
-114.4MiB live, 791.5MiB allocated
Rules
14 380×accelerator-lowering-fma.f32
14 380×accelerator-lowering-fma.f64
13 334×accelerator-lowering-fma.f32
13 334×accelerator-lowering-fma.f64
7 854×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01654
17654
257554
3484054
0950151
02395
113490
2111888
0810182
03331781
110131561
233781491
379251491
083211388
01446
17040
253740
3648040
0816036
04603596
114533184
252453100
081522855
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
Compiler

Compiled 291 to 176 computations (39.5% saved)

preprocess50.0ms (0.5%)

Memory
28.3MiB live, 105.4MiB allocated
Compiler

Compiled 258 to 98 computations (62% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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