Octave 3.8, oct_fill_randg

Time bar (total: 12.0s)

analyze15.0ms (0.1%)

Memory
26.0MiB live, 26.0MiB allocated
Algorithm
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)

sample1.1s (9.2%)

Memory
18.5MiB live, 1 808.3MiB allocated
Samples
691.0ms8 256×0valid
38.0ms548×0invalid
Precisions
Click to see histograms. Total time spent on operations: 470.0ms
ival-mult: 150.0ms (31.9% of total)
ival-div: 139.0ms (29.5% of total)
ival-sqrt: 77.0ms (16.4% of total)
ival-sub: 41.0ms (8.7% of total)
ival-add: 41.0ms (8.7% of total)
exact: 12.0ms (2.6% of total)
ival-true: 6.0ms (1.3% of total)
ival-assert: 4.0ms (0.9% of total)
Bogosity

preprocess234.0ms (2%)

Memory
-3.7MiB live, 246.0MiB allocated
Algorithm
egg-herbie
Rules
2 560×accelerator-lowering-fma.f32
2 560×accelerator-lowering-fma.f64
1 346×unsub-neg
1 036×div-sub
864×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

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

explain185.0ms (1.5%)

Memory
-29.4MiB live, 401.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
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-(*.f64 (/.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)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))oflow-rescue10
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))overflow1
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
42.0ms470×0valid
19.0ms18×2valid
5.0ms22×1valid
1.0ms5exit
Compiler

Compiled 216 to 56 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
adjust: 14.0ms (30.3% of total)
ival-mult: 13.0ms (28.2% of total)
ival-div: 8.0ms (17.3% of total)
ival-sqrt: 4.0ms (8.7% of total)
ival-sub: 3.0ms (6.5% of total)
ival-add: 3.0ms (6.5% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(*.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)

simplify153.0ms (1.3%)

Memory
15.1MiB live, 223.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

localize55.0ms (0.5%)

Memory
-11.8MiB live, 105.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
accuracy99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
accuracy99.4%
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
Samples
33.0ms235×0valid
2.0ms2valid
2.0ms11×1valid
0.0ms5exit
Compiler

Compiled 86 to 15 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 5.0ms (32.9% of total)
ival-mult: 4.0ms (26.3% of total)
ival-sqrt: 2.0ms (13.1% of total)
ival-sub: 1.0ms (6.6% of total)
ival-add: 1.0ms (6.6% 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)

series15.0ms (0.1%)

Memory
28.6MiB live, 28.6MiB allocated
Counts
7 → 96
Calls
Call 1
Inputs
#<alt (/ 1 3)>
#<alt (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)>
#<alt (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))>
#<alt (- a (/ 1 3))>
#<alt (sqrt (* 9 (- a (/ 1 3))))>
#<alt (/ 1 (sqrt (* 9 (- a (/ 1 3)))))>
#<alt (* 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 (* -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>
#<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 (* 3 (sqrt -1/3))>
#<alt (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))>
#<alt (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))>
#<alt (* 3 (sqrt a))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))>
#<alt (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))>
#<alt (* 1/3 (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>
#<alt (- (* 9 a) 3)>
#<alt (- (* 9 a) 3)>
#<alt (- (* 9 a) 3)>
#<alt (* 9 a)>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* 9 a)>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
Calls

24 calls:

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

rewrite431.0ms (3.6%)

Memory
-6.3MiB live, 716.9MiB allocated
Algorithm
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
01449
17043
253743
3648043
0816039
Stop Event
iter limit
node limit
Counts
7 → 505
Calls
Call 1
Inputs
(/ 1 3)
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(- a (/ 1 3))
(sqrt (* 9 (- a (/ 1 3))))
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
(* 9 (- a (/ 1 3)))
Outputs
#s(literal 1/3 binary64)
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 rand #s(literal 3 binary64))))
(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand))))
(/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))
(/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (/.f64 rand #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (/.f64 rand (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(pow.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) rand)
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) (/.f64 rand #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))
(*.f64 #s(literal -1/3 binary64) (/.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(*.f64 rand (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal -1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 1/3 binary64))
(*.f64 (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1/4 binary64)) (/.f64 rand (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1/4 binary64)) rand))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 rand (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1/4 binary64)))
(*.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 rand (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1/4 binary64))) (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (sqrt.f64 (+.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)))))
(*.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (pow.f64 (+.f64 #s(literal 1/3 binary64) a) #s(literal 1/2 binary64)))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (*.f64 #s(literal 9 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 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))))))
(+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(+.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand a) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))) a) #s(literal -1/3 binary64))
(+.f64 (+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 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 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))))))
(-.f64 (/.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)))) (-.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 (*.f64 a a) (+.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 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 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 (*.f64 #s(literal 9 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 #s(literal 1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))))) (/.f64 (*.f64 (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))))))
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))) a) #s(literal 1/3 binary64))
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))) (/.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a))))) (/.f64 #s(literal 1/27 binary64) (+.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)))))
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 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 (*.f64 #s(literal 9 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 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand a) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) a) (+.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 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 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))))))
(fma.f64 a (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 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 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 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) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) (*.f64 rand a) (+.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) a (+.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) a (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 rand (-.f64 (*.f64 rand (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))) a) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 rand (-.f64 (*.f64 rand (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))) #s(literal -1/3 binary64)) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(fma.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (+.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 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)))) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 rand (/.f64 (+.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (+.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) a) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))) a) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))) #s(literal -1/3 binary64)) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(fma.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (+.f64 (*.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 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 rand (/.f64 (+.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #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 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 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 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) a) (+.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 rand (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (+.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) rand) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (+.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 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.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 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 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 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 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) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) rand) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) (/.f64 rand #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 a rand) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 rand (-.f64 (*.f64 rand (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 rand (-.f64 (*.f64 rand (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(fma.f64 (*.f64 a (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) rand (+.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/9 binary64) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1/4 binary64))) (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1/4 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (+.f64 (*.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 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)))))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (*.f64 a a)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))))))
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(*.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
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(+.f64 #s(literal -1/3 binary64) a)
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(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))) (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a))) #s(literal -1/3 binary64)) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)))))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (*.f64 a a)))))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a))) #s(literal -1/3 binary64)) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a))))) (-.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a))))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 a a)) #s(literal -1 binary64)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 a a)) #s(literal -1 binary64)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64))) (+.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))))

simplify754.0ms (6.3%)

Memory
-11.7MiB live, 781.0MiB allocated
Algorithm
egg-herbie
Rules
12 592×accelerator-lowering-fma.f32
12 592×accelerator-lowering-fma.f64
5 434×+-lowering-+.f64
5 434×+-lowering-+.f32
5 342×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03391835
110321615
234291545
080401436
Stop Event
iter limit
node limit
Counts
96 → 96
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)))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* 3 (sqrt -1/3))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(* 3 (sqrt a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
(* 1/3 (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
(- (* 9 a) 3)
(- (* 9 a) 3)
(- (* 9 a) 3)
(* 9 a)
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* 9 a)
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
Outputs
(* 1/3 (* rand (sqrt -3)))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (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))))))
(+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 a (*.f64 #s(literal -27/8 binary64) 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))))))))
(+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 rand a) #s(literal 405/8 binary64))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -27/8 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 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (+.f64 (*.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))))))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64))) #s(literal 1/6 binary64))))) (*.f64 rand (+.f64 (*.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))))))))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a 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))) (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/18 binary64))))
(+ (* -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))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a))) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64)))) (*.f64 a (*.f64 a a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 a (+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))))) (*.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64))) (*.f64 a (+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a (*.f64 #s(literal 9/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) a))))))))
(+ (* -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)))))))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (+.f64 (/.f64 (*.f64 a (*.f64 #s(literal 45/16 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 rand #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/18 binary64) (*.f64 #s(literal -1/6 binary64) a))))) (+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) a))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.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))))))
(*.f64 a (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.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)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(*.f64 a (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))) a))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))))))
(* -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 #s(literal 0 binary64) (*.f64 a (+.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))))) (/.f64 #s(literal 1/3 binary64) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(*.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))))) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) #s(literal -1/2 binary64))) a)))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 a))) #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)
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #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))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* 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 (+.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)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) 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)))
(+.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 a #s(literal 3/2 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))))))
(+.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (/.f64 #s(literal 9/8 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))))))
(+.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 a #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))))))))
(* 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 (+.f64 (*.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 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64)) (+.f64 (*.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))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 a))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64))))))
(* -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 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/432 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64))))) (-.f64 #s(literal 0 binary64) a))
(* 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)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (/.f64 #s(literal -3/2 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))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -27/8 binary64) a) (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))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (+.f64 (*.f64 a (+.f64 (*.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))))))
(* 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))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (+.f64 (*.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)))))))
(+ (* 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))))))
(+.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64))) #s(literal 1/6 binary64))))))
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a 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))) (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/18 binary64))))
(+ (* -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)))))
(-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64)))) (*.f64 a (*.f64 a a))))
-3
#s(literal -3 binary64)
(- (* 9 a) 3)
(+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))
(- (* 9 a) 3)
(+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))
(- (* 9 a) 3)
(+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 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)))

eval206.0ms (1.7%)

Memory
-14.1MiB live, 193.8MiB allocated
Compiler

Compiled 22 323 to 2 760 computations (87.6% saved)

prune137.0ms (1.1%)

Memory
4.1MiB live, 241.1MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New6847691
Fresh000
Picked101
Done000
Total6857692
Accuracy
100.0%
Counts
692 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
62.9%
(+.f64 a #s(literal -1/3 binary64))
99.1%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) rand)))
99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
38.1%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
80.3%
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
98.1%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
Compiler

Compiled 188 to 130 computations (30.9% saved)

simplify54.0ms (0.5%)

Memory
5.4MiB live, 82.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
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 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
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
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
cost-diff0
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
cost-diff0
(*.f64 #s(literal 1/3 binary64) rand)
cost-diff0
(+.f64 a #s(literal -1/3 binary64))
cost-diff0
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
cost-diff0
(*.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 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
cost-diff0
(+.f64 a #s(literal -1/3 binary64))
cost-diff0
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
cost-diff64
(pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))
Rules
944×accelerator-lowering-fma.f32
944×accelerator-lowering-fma.f64
592×*-lowering-*.f32
592×*-lowering-*.f64
372×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022156
154156
2124156
3328156
4600156
5839156
6996156
71273156
81275156
91287156
101309156
111309156
121311156
131312156
01312151
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (+ a -1/3) (+ 1 (/ (/ rand (pow (+ a -1/3) 1/2)) 3)))
(+ a -1/3)
a
-1/3
(+ 1 (/ (/ rand (pow (+ a -1/3) 1/2)) 3))
1
(/ (/ rand (pow (+ a -1/3) 1/2)) 3)
(/ rand (pow (+ a -1/3) 1/2))
rand
(pow (+ a -1/3) 1/2)
1/2
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
(* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
a
(+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand)))
1
(* (sqrt (/ 1 a)) (* 1/3 rand))
(sqrt (/ 1 a))
(/ 1 a)
(* 1/3 rand)
1/3
rand
(+ (+ a -1/3) (* (sqrt (+ a -1/3)) (* 1/3 rand)))
(+ a -1/3)
a
-1/3
(* (sqrt (+ a -1/3)) (* 1/3 rand))
(sqrt (+ a -1/3))
(* 1/3 rand)
1/3
rand
Outputs
(* (+ a -1/3) (+ 1 (/ (/ rand (pow (+ a -1/3) 1/2)) 3)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
(+ 1 (/ (/ rand (pow (+ a -1/3) 1/2)) 3))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
1
#s(literal 1 binary64)
(/ (/ rand (pow (+ a -1/3) 1/2)) 3)
(/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/ rand (pow (+ a -1/3) 1/2))
(/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
rand
(pow (+ a -1/3) 1/2)
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
1/2
#s(literal 1/2 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 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 3 binary64))
1/3
#s(literal 1/3 binary64)
rand
(* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 rand #s(literal 3 binary64)))))
a
(+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 rand #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(* (sqrt (/ 1 a)) (* 1/3 rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* 1/3 rand)
(/.f64 rand #s(literal 3 binary64))
1/3
#s(literal 1/3 binary64)
rand
(+ (+ a -1/3) (* (sqrt (+ a -1/3)) (* 1/3 rand)))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #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 3 binary64)))
(sqrt (+ a -1/3))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 rand)
(/.f64 rand #s(literal 3 binary64))
1/3
#s(literal 1/3 binary64)
rand

localize88.0ms (0.7%)

Memory
2.8MiB live, 198.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
accuracy100.0%
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.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)
accuracy99.5%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
accuracy99.9%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
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)))
accuracy99.5%
(*.f64 #s(literal 1/3 binary64) rand)
accuracy99.5%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
accuracy99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
accuracy99.7%
(/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
accuracy99.6%
(/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))
Samples
47.0ms256×0valid
Compiler

Compiled 163 to 23 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 7.0ms (25.3% of total)
const: 7.0ms (25.3% of total)
ival-div: 5.0ms (18.1% of total)
ival-add: 5.0ms (18.1% of total)
ival-sqrt: 4.0ms (14.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
21.4MiB live, 60.5MiB allocated
Counts
14 → 276
Calls
Call 1
Inputs
#<alt (pow (+ a -1/3) 1/2)>
#<alt (* (+ a -1/3) (+ 1 (/ (/ rand (pow (+ a -1/3) 1/2)) 3)))>
#<alt (+ a -1/3)>
#<alt (+ 1 (/ (/ rand (pow (+ a -1/3) 1/2)) 3))>
#<alt (* (sqrt (+ a -1/3)) (* 1/3 rand))>
#<alt (sqrt (+ a -1/3))>
#<alt (* 1/3 rand)>
#<alt (* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))>
#<alt (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand)))>
#<alt (* (sqrt (/ 1 a)) (* 1/3 rand))>
#<alt (sqrt (/ 1 a))>
#<alt (+ (+ a -1/3) (* (sqrt (+ a -1/3)) (* 1/3 rand)))>
#<alt (/ rand (pow (+ a -1/3) 1/2))>
#<alt (/ (/ rand (pow (+ a -1/3) 1/2)) 3)>
Outputs
#<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)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<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 (* 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 (* 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>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt -3))))>
#<alt (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))>
#<alt (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* 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 (* (sqrt a) rand))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt a>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* 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 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt -3))>
#<alt (+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))>
#<alt (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))>
#<alt (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))>
#<alt (+ (* 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 (* 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)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
Calls

69 calls:

TimeVariablePointExpression
2.0ms
a
@0
(* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
2.0ms
rand
@inf
(* 1/3 rand)
1.0ms
a
@-inf
(* (sqrt (+ a -1/3)) (* 1/3 rand))
1.0ms
a
@-inf
(* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
1.0ms
a
@-inf
(* (+ a -1/3) (+ 1 (/ (/ rand (pow (+ a -1/3) 1/2)) 3)))

rewrite411.0ms (3.4%)

Memory
-19.1MiB live, 824.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 852×*-lowering-*.f32
4 852×*-lowering-*.f64
4 328×/-lowering-/.f32
4 328×/-lowering-/.f64
3 360×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022106
113899
2117797
0821592
Stop Event
iter limit
node limit
Counts
14 → 629
Calls
Call 1
Inputs
(pow (+ a -1/3) 1/2)
(* (+ a -1/3) (+ 1 (/ (/ rand (pow (+ a -1/3) 1/2)) 3)))
(+ a -1/3)
(+ 1 (/ (/ rand (pow (+ a -1/3) 1/2)) 3))
(* (sqrt (+ a -1/3)) (* 1/3 rand))
(sqrt (+ a -1/3))
(* 1/3 rand)
(* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
(+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand)))
(* (sqrt (/ 1 a)) (* 1/3 rand))
(sqrt (/ 1 a))
(+ (+ a -1/3) (* (sqrt (+ a -1/3)) (* 1/3 rand)))
(/ rand (pow (+ a -1/3) 1/2))
(/ (/ rand (pow (+ a -1/3) 1/2)) 3)
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a #s(literal -1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) (*.f64 (log.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64))))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (sqrt.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (sqrt.f64 (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (pow.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (sqrt.f64 (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (pow.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (sqrt.f64 (neg.f64 (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (sqrt.f64 (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (neg.f64 (pow.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64))))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (+.f64 a #s(literal 1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal 1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (+.f64 a #s(literal 1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (+.f64 a #s(literal 1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) rand) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal -3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (neg.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (neg.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 a #s(literal 1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 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)) (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
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(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/4 binary64)))))
(/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)))
(/.f64 (-.f64 #s(literal 0 binary64) rand) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 rand #s(literal 1 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand)) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (*.f64 rand #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))
(*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) rand)
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal -1 binary64)))
(*.f64 (*.f64 rand #s(literal 1 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) rand) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (neg.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 rand (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 rand (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(neg.f64 (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -3 binary64)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (-.f64 #s(literal 0 binary64) rand)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1 binary64) rand)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal 1/3 binary64))))
(/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand))
(/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -3 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) rand) (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) rand) (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand)) (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand)) (neg.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (/.f64 rand #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) rand)) (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal 1/3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 rand (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 rand (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) rand) #s(literal -1 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) rand)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)))) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)))))

simplify519.0ms (4.3%)

Memory
4.6MiB live, 873.4MiB allocated
Algorithm
egg-herbie
Rules
12 040×accelerator-lowering-fma.f32
12 040×accelerator-lowering-fma.f64
5 532×*-lowering-*.f32
5 532×*-lowering-*.f64
3 730×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04584145
114343684
251273590
080913343
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(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)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
1
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 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 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
1
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* 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))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt -3))
(+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))
(* (sqrt (/ 1 a)) rand)
(+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(* (sqrt (/ 1 a)) rand)
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt -3)))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
Outputs
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) a) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (+.f64 (*.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 -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))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 a #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(*.f64 a (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (*.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))
(* 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 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (*.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 a (*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)))))
(* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (neg.f64 (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 1/72 binary64))))))
(* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (+.f64 (neg.f64 (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 1/72 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (/.f64 #s(literal -1/432 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) a))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) a))) (/.f64 (*.f64 a (*.f64 #s(literal 9/8 binary64) rand)) (sqrt.f64 #s(literal -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)))))))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) a))) (*.f64 a (+.f64 (*.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))) (/.f64 (*.f64 a (*.f64 #s(literal 45/16 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64))) a)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/9 binary64))) a) (*.f64 rand (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64)))))))
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(- a 1/3)
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
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-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
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(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
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(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
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(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
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(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
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(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
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(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
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(+ 1 (* 1/3 (* rand (sqrt -3))))
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(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
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(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
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(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
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(* 1/3 (* rand (sqrt -1/3)))
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(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
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(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
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(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) a) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (+.f64 (*.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 -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))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 a #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(*.f64 a (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (*.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))
(* 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 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (*.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 a (*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (neg.f64 (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 1/72 binary64))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (+.f64 (*.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (neg.f64 (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 1/72 binary64))))) (-.f64 #s(literal 0 binary64) a))
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.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))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))
(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)))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))) (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 #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)
(+.f64 (*.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a rand)) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))))) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(+.f64 (*.f64 a (+.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 a rand) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))))) (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 (*.f64 rand (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* 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 (*.f64 rand (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (+.f64 (*.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 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal 1/18 binary64))) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/216 binary64)) (*.f64 (sqrt.f64 a) #s(literal 1/18 binary64)))) a)) a)) (-.f64 #s(literal 0 binary64) a))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt -3))
(*.f64 rand (sqrt.f64 #s(literal -3 binary64)))
(+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))
(+.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -9/2 binary64))))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))
(+.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -9/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -81/8 binary64) rand) a) (sqrt.f64 #s(literal -3 binary64))))))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))
(+.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -9/2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal 405/8 binary64) (*.f64 a rand)) (sqrt.f64 #s(literal -3 binary64))))))))
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(*.f64 rand (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64))))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/18 binary64))))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(+.f64 (*.f64 rand (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/18 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (*.f64 rand (-.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal 1/36 binary64)))) #s(literal 1/2 binary64))))
(* (sqrt (/ 1 a)) rand)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(*.f64 rand (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/18 binary64))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(-.f64 (*.f64 rand (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (/.f64 (*.f64 rand (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (-.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal 1/36 binary64)))) (*.f64 (sqrt.f64 a) #s(literal 1/18 binary64)))) (*.f64 a (*.f64 a a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 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))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -27/8 binary64) rand) a) (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))))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (+.f64 (*.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal 405/8 binary64) (*.f64 a 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 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 rand (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64)) (*.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) a)) #s(literal 1/3 binary64))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+.f64 (*.f64 rand (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64)) (*.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) a)) #s(literal 1/3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (*.f64 rand (-.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal 1/36 binary64)))) #s(literal 1/6 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 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 rand (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (+.f64 (*.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 -1/54 binary64)))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(-.f64 (*.f64 rand (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64)))) (/.f64 (*.f64 rand (+.f64 (*.f64 (sqrt.f64 a) #s(literal 1/54 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/6 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal 1/36 binary64)))))) (*.f64 a (*.f64 a a))))

eval170.0ms (1.4%)

Memory
23.6MiB live, 331.9MiB allocated
Compiler

Compiled 29 851 to 3 008 computations (89.9% saved)

prune156.0ms (1.3%)

Memory
-8.5MiB live, 384.4MiB allocated
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1 364161 380
Fresh202
Picked325
Done000
Total1 369181 387
Accuracy
100.0%
Counts
1 387 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.2%
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
19.5%
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
62.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
99.8%
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
99.0%
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
98.1%
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
98.1%
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
62.9%
(+.f64 a #s(literal -1/3 binary64))
36.1%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
19.5%
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
98.1%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))) a)
38.1%
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
37.3%
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
98.0%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))))
37.4%
(*.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
37.4%
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
61.9%
a
1.5%
#s(literal -1/3 binary64)
Compiler

Compiled 365 to 265 computations (27.4% saved)

simplify172.0ms (1.4%)

Memory
32.5MiB live, 111.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 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
(*.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) rand)
cost-diff0
(sqrt.f64 a)
cost-diff0
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))
cost-diff0
(*.f64 a a)
cost-diff0
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
cost-diff128
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
cost-diff0
(sqrt.f64 a)
cost-diff0
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
cost-diff0
(+.f64 a #s(literal -1/3 binary64))
cost-diff0
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
Rules
1 552×accelerator-lowering-fma.f32
1 552×accelerator-lowering-fma.f64
1 096×*-lowering-*.f32
1 096×*-lowering-*.f64
526×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020106
145104
298104
3188104
4299104
5414104
6744104
71251104
81548104
92168104
102642104
113466104
123585104
133638104
143641104
153641104
163673104
173723104
183723104
03723101
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (+ a -1/3) (* (sqrt a) (* 1/3 rand)))
(+ a -1/3)
a
-1/3
(* (sqrt a) (* 1/3 rand))
(sqrt a)
(* 1/3 rand)
1/3
rand
-1/3
(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))
(- 1/9 (* a a))
1/9
(* a a)
a
(/ 1 (- -1/3 a))
1
(- -1/3 a)
-1/3
(* (sqrt a) (* 1/3 rand))
(sqrt a)
a
(* 1/3 rand)
1/3
rand
(* a (* (sqrt (/ 1 a)) (* 1/3 rand)))
a
(* (sqrt (/ 1 a)) (* 1/3 rand))
(sqrt (/ 1 a))
(/ 1 a)
1
(* 1/3 rand)
1/3
rand
Outputs
(+ (+ a -1/3) (* (sqrt a) (* 1/3 rand)))
(-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal -1/3 binary64) rand)))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
(* (sqrt a) (* 1/3 rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(sqrt a)
(sqrt.f64 a)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
1/3
#s(literal 1/3 binary64)
rand
-1/3
#s(literal -1/3 binary64)
(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(- 1/9 (* a a))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
1/9
#s(literal 1/9 binary64)
(* a a)
(*.f64 a a)
a
(/ 1 (- -1/3 a))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))
1
#s(literal 1 binary64)
(- -1/3 a)
(-.f64 #s(literal -1/3 binary64) a)
-1/3
#s(literal -1/3 binary64)
(* (sqrt a) (* 1/3 rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(sqrt a)
(sqrt.f64 a)
a
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
1/3
#s(literal 1/3 binary64)
rand
(* a (* (sqrt (/ 1 a)) (* 1/3 rand)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 a (*.f64 #s(literal 1/3 binary64) rand)))
a
(* (sqrt (/ 1 a)) (* 1/3 rand))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (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 #s(literal 1/3 binary64) rand)
1/3
#s(literal 1/3 binary64)
rand

localize88.0ms (0.7%)

Memory
-10.7MiB live, 161.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
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))
accuracy91.6%
(*.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
accuracy100.0%
(sqrt.f64 a)
accuracy99.5%
(*.f64 #s(literal 1/3 binary64) rand)
accuracy99.5%
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))
accuracy52.0%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
accuracy100.0%
(sqrt.f64 a)
accuracy100.0%
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
accuracy99.5%
(*.f64 #s(literal 1/3 binary64) rand)
accuracy99.5%
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
Samples
56.0ms256×0valid
Compiler

Compiled 108 to 22 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 9.0ms (24.7% of total)
const: 9.0ms (24.7% of total)
ival-add: 8.0ms (22% of total)
ival-sqrt: 4.0ms (11% of total)
ival-div: 3.0ms (8.2% of total)
ival-sub: 2.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-21.0MiB live, 16.4MiB allocated
Counts
13 → 204
Calls
Call 1
Inputs
#<alt (+ (+ a -1/3) (* (sqrt a) (* 1/3 rand)))>
#<alt (+ a -1/3)>
#<alt (* (sqrt a) (* 1/3 rand))>
#<alt (sqrt a)>
#<alt (* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))>
#<alt (- 1/9 (* a a))>
#<alt (* a a)>
#<alt (/ 1 (- -1/3 a))>
#<alt (* 1/3 rand)>
#<alt (* a (* (sqrt (/ 1 a)) (* 1/3 rand)))>
#<alt (* (sqrt (/ 1 a)) (* 1/3 rand))>
#<alt (sqrt (/ 1 a))>
#<alt (/ 1 a)>
Outputs
#<alt (- (* 1/3 (* (sqrt a) rand)) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) (* rand (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 (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>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt 1/9>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt -3>
#<alt (- (* 9 a) 3)>
#<alt (- (* a (+ 9 (* -27 a))) 3)>
#<alt (- (* a (+ 9 (* a (- (* 81 a) 27)))) 3)>
#<alt (/ -1 a)>
#<alt (/ (- (* 1/3 (/ 1 a)) 1) a)>
#<alt (/ (- (* 1/3 (/ 1 a)) (+ 1 (/ 1/9 (pow a 2)))) a)>
#<alt (/ (- (+ (* 1/3 (/ 1 a)) (* 1/27 (/ 1 (pow a 3)))) (+ 1 (/ 1/9 (pow a 2)))) a)>
#<alt (/ -1 a)>
#<alt (* -1 (/ (- 1 (* 1/3 (/ 1 a))) a))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 a))) a))) a))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 a))) a))) a))) a))>
#<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 (* (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 (/ 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)>
Calls

51 calls:

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

rewrite489.0ms (4.1%)

Memory
-1.8MiB live, 964.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 384×accelerator-lowering-fma.f32
8 384×accelerator-lowering-fma.f64
5 828×*-lowering-*.f32
5 828×*-lowering-*.f64
3 978×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02061
111258
282158
0895757
Stop Event
iter limit
node limit
Counts
13 → 886
Calls
Call 1
Inputs
(+ (+ a -1/3) (* (sqrt a) (* 1/3 rand)))
(+ a -1/3)
(* (sqrt a) (* 1/3 rand))
(sqrt a)
(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))
(- 1/9 (* a a))
(* a a)
(/ 1 (- -1/3 a))
(* 1/3 rand)
(* a (* (sqrt (/ 1 a)) (* 1/3 rand)))
(* (sqrt (/ 1 a)) (* 1/3 rand))
(sqrt (/ 1 a))
(/ 1 a)
Outputs
(+.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) a))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(+.f64 (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) a)
(+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a (-.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))) (neg.f64 (/.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (+.f64 a (-.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))))
(+.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) (+.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(+.f64 (+.f64 (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) a) #s(literal -1/3 binary64))
(+.f64 (+.f64 a (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) #s(literal -1/3 binary64))
(+.f64 (+.f64 (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (+.f64 a #s(literal 1/3 binary64)))) (/.f64 (*.f64 a a) (+.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 a (-.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))) (/.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (+.f64 a (-.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))))
(-.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) (-.f64 (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))) (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (-.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))))
(-.f64 (/.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (-.f64 (*.f64 rand (*.f64 (sqrt.f64 a) #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 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))))
(-.f64 (+.f64 (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (+.f64 a #s(literal 1/3 binary64)))) (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)))
(-.f64 (+.f64 (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))))
(fma.f64 a #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(fma.f64 a (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) a) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 rand a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64))) (+.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) a (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) (+.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64) (+.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 a (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a)) a (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) a) (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) a)) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)) (+.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a (-.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))) (neg.f64 (/.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (+.f64 a (-.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))))
(fma.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))) (-.f64 #s(literal -1/3 binary64) a))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))) (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64)))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64)))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (*.f64 rand a) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))) (+.f64 a #s(literal 1/3 binary64)))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 a #s(literal 1/3 binary64)))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (+.f64 #s(literal -1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(fma.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (*.f64 #s(literal -1/9 binary64) (*.f64 rand (sqrt.f64 a)))))) a)
(fma.f64 (*.f64 a #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (+.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))) a)
(fma.f64 (pow.f64 a #s(literal -1/4 binary64)) (*.f64 (pow.f64 a #s(literal -1/4 binary64)) (*.f64 a (*.f64 #s(literal 1/3 binary64) rand))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64)) #s(literal 1/9 binary64)) (+.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(fma.f64 (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 a #s(literal 1/4 binary64)) (*.f64 (pow.f64 a #s(literal 1/4 binary64)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 a #s(literal 1/4 binary64)) (*.f64 (pow.f64 a #s(literal 1/4 binary64)) (sqrt.f64 a)) (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) (*.f64 a #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 a (*.f64 #s(literal 1/3 binary64) rand)) (pow.f64 a #s(literal -1/2 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))) #s(literal 1 binary64)) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal 1 binary64)) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) a)) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/9 binary64)) (+.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))) (+.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 a rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 a (*.f64 #s(literal 1/3 binary64) rand)) (pow.f64 a #s(literal -1/4 binary64))) (pow.f64 a #s(literal -1/4 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(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)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64)) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 a) (pow.f64 a #s(literal 1/4 binary64))) (pow.f64 a #s(literal 1/4 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(neg.f64 (/.f64 (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (pow.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) #s(literal 3/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand (-.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))))))
(neg.f64 (/.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand)))) (-.f64 #s(literal 0 binary64) (+.f64 a (-.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 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)))) (pow.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) #s(literal 3/2 binary64)))) (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand (-.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))))) (+.f64 a (-.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a (-.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.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)))) (pow.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) a))) (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))) (-.f64 (*.f64 a a) (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))))
(/.f64 (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (pow.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) #s(literal 3/2 binary64))) (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand (-.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))))
(/.f64 (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (pow.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) #s(literal 3/2 binary64))) (+.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a (-.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.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 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand)))) (+.f64 a (-.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(literal 0 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)))) (pow.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) #s(literal 3/2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand (-.f64 (*.f64 rand (*.f64 a #s(literal 1/9 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))))
(/.f64 (-.f64 #s(literal 0 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)))) (pow.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a (-.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))))) (-.f64 #s(literal 0 binary64) (+.f64 a (-.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) a))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) (-.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (+.f64 (*.f64 a (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (*.f64 #s(literal -1/9 binary64) (*.f64 rand (sqrt.f64 a)))))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (pow.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) #s(literal 3/2 binary64))))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (*.f64 #s(literal -1/9 binary64) (*.f64 rand (sqrt.f64 a)))))))
(/.f64 (+.f64 (*.f64 a (-.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand)))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (*.f64 #s(literal -1/9 binary64) (*.f64 rand (sqrt.f64 a)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal -1/27 binary64) (pow.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) #s(literal 3/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (*.f64 #s(literal -1/9 binary64) (*.f64 rand (sqrt.f64 a)))))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (*.f64 #s(literal -1/9 binary64) (*.f64 rand (sqrt.f64 a)))))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/27 binary64) (pow.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) #s(literal 3/2 binary64))))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a (*.f64 #s(literal 1/9 binary64) (*.f64 rand rand))) (*.f64 #s(literal -1/9 binary64) (*.f64 rand (sqrt.f64 a)))))))
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(-.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) a))
(-.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))) (-.f64 #s(literal -1/3 binary64) a)))
(-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal -1/3 binary64) a)))
(-.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))))
(-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(fma.f64 a #s(literal 1 binary64) #s(literal -1/3 binary64))
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(fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -1/3 binary64))
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(fma.f64 #s(literal 1 binary64) a #s(literal -1/3 binary64))
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(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)) (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
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(/.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 a)))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1/2 binary64)))
(pow.f64 a #s(literal -1 binary64))
(pow.f64 (sqrt.f64 a) #s(literal -2 binary64))
(pow.f64 (*.f64 a a) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(pow.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 2 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 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64)))
(*.f64 (pow.f64 a #s(literal -1/4 binary64)) (*.f64 (pow.f64 a #s(literal -1/4 binary64)) (pow.f64 a #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/4 binary64))) (pow.f64 a #s(literal -1/4 binary64)))

simplify305.0ms (2.5%)

Memory
-4.3MiB live, 519.2MiB allocated
Algorithm
egg-herbie
Rules
6 660×accelerator-lowering-fma.f32
6 660×accelerator-lowering-fma.f64
3 240×*-lowering-*.f32
3 240×*-lowering-*.f64
1 432×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01181218
13291149
28621145
323441129
457021129
080691096
Stop Event
iter limit
node limit
Counts
204 → 204
Calls
Call 1
Inputs
(- (* 1/3 (* (sqrt a) rand)) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(* 1/3 (* (sqrt a) rand))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) (* rand (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))
(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
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
1/9
(+ 1/9 (* -1 (pow a 2)))
(+ 1/9 (* -1 (pow a 2)))
(+ 1/9 (* -1 (pow a 2)))
(* -1 (pow a 2))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* -1 (pow a 2))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
-3
(- (* 9 a) 3)
(- (* a (+ 9 (* -27 a))) 3)
(- (* a (+ 9 (* a (- (* 81 a) 27)))) 3)
(/ -1 a)
(/ (- (* 1/3 (/ 1 a)) 1) a)
(/ (- (* 1/3 (/ 1 a)) (+ 1 (/ 1/9 (pow a 2)))) a)
(/ (- (+ (* 1/3 (/ 1 a)) (* 1/27 (/ 1 (pow a 3)))) (+ 1 (/ 1/9 (pow a 2)))) a)
(/ -1 a)
(* -1 (/ (- 1 (* 1/3 (/ 1 a))) a))
(* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 a))) a))) a))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 a))) a))) a))) a))
(* 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 (* (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 (/ 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)
Outputs
(- (* 1/3 (* (sqrt a) rand)) 1/3)
(*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 a) rand)))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)) (+.f64 a #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))) #s(literal -1/3 binary64))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))) #s(literal -1/3 binary64))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))) #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))) #s(literal -1/3 binary64))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))) #s(literal -1/3 binary64))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))) #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)) (+.f64 a #s(literal -1/3 binary64)))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)) (+.f64 a #s(literal -1/3 binary64)))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)) (+.f64 a #s(literal -1/3 binary64)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)) (+.f64 a #s(literal -1/3 binary64)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)) (+.f64 a #s(literal -1/3 binary64)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* 1/3 (* (sqrt 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))
(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
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1 (pow a 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
(+ 1/9 (* -1 (pow a 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
(+ 1/9 (* -1 (pow a 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
(* -1 (pow a 2))
(*.f64 a (-.f64 #s(literal 0 binary64) a))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
(* -1 (pow a 2))
(*.f64 a (-.f64 #s(literal 0 binary64) a))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
-3
#s(literal -3 binary64)
(- (* 9 a) 3)
(+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))
(- (* a (+ 9 (* -27 a))) 3)
(+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64))
(- (* a (+ 9 (* a (- (* 81 a) 27)))) 3)
(+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64))
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ (- (* 1/3 (/ 1 a)) 1) a)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64)) a)
(/ (- (* 1/3 (/ 1 a)) (+ 1 (/ 1/9 (pow a 2)))) a)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)) a)) a)
(/ (- (+ (* 1/3 (/ 1 a)) (* 1/27 (/ 1 (pow a 3)))) (+ 1 (/ 1/9 (pow a 2)))) a)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/27 binary64) a)) a)) a)) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(* -1 (/ (- 1 (* 1/3 (/ 1 a))) a))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64)) a)
(* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 a))) a))) a))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)) a)) a)
(* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 a))) a))) a))) a))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/27 binary64) a)) a)) a)) a)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 (* (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 (sqrt.f64 a) (*.f64 rand #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) (*.f64 rand #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) (*.f64 rand #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) (*.f64 rand #s(literal -1/3 binary64)))
(* 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 (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (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)

eval326.0ms (2.7%)

Memory
-6.6MiB live, 184.6MiB allocated
Compiler

Compiled 25 155 to 2 053 computations (91.8% saved)

prune483.0ms (4%)

Memory
1.7MiB live, 212.3MiB allocated
Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New1 205181 223
Fresh4711
Picked235
Done022
Total1 211301 241
Accuracy
100.0%
Counts
1 241 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.1%
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
19.5%
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
13.9%
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))
62.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
99.8%
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
99.0%
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
98.1%
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
98.1%
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
62.9%
(+.f64 a #s(literal -1/3 binary64))
8.5%
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
5.0%
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/81 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
2.6%
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/387420489 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))) (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1/729 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
37.3%
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a)) a)
35.1%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
5.7%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
10.5%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
5.8%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
10.6%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
13.9%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
10.5%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
9.9%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
98.1%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))) a)
38.1%
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
37.4%
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
37.3%
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
37.3%
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
37.3%
(*.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a))
98.0%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))))
61.9%
a
1.5%
#s(literal -1/3 binary64)
Compiler

Compiled 1 202 to 679 computations (43.5% saved)

simplify663.0ms (5.5%)

Memory
10.3MiB live, 441.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 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)) a)
cost-diff0
(*.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a))
cost-diff0
(-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))
cost-diff128
(*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
cost-diff128
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 a (*.f64 a a))
cost-diff0
(+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))
cost-diff0
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
cost-diff0
(/.f64 rand #s(literal 3 binary64))
cost-diff0
(/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)))
cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))) a)
Rules
8 028×accelerator-lowering-fma.f32
8 028×accelerator-lowering-fma.f64
4 714×*-lowering-*.f32
4 714×*-lowering-*.f64
1 790×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036253
184217
2220197
3527197
41853197
54169197
08219189
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (+ 1 (/ (/ rand 3) (sqrt a))) a)
(+ 1 (/ (/ rand 3) (sqrt a)))
1
(/ (/ rand 3) (sqrt a))
(/ rand 3)
rand
3
(sqrt a)
a
a
(/ (+ (* a (* a a)) -1/27) (+ 1/9 (* a (+ a 1/3))))
(+ (* a (* a a)) -1/27)
(* a (* a a))
a
(* a a)
-1/27
(+ 1/9 (* a (+ a 1/3)))
1/9
(* a (+ a 1/3))
(+ a 1/3)
1/3
(* (/ (* (- 1/6561 (* (* a (* a (* a a))) (* a (* a (* a a))))) (/ 1 (+ 1/9 (* a a)))) (+ 1/81 (* a (* a (* a a))))) (/ 1 (- -1/3 a)))
(/ (* (- 1/6561 (* (* a (* a (* a a))) (* a (* a (* a a))))) (/ 1 (+ 1/9 (* a a)))) (+ 1/81 (* a (* a (* a a)))))
(* (- 1/6561 (* (* a (* a (* a a))) (* a (* a (* a a))))) (/ 1 (+ 1/9 (* a a))))
(- 1/6561 (* (* a (* a (* a a))) (* a (* a (* a a)))))
1/6561
(* (* a (* a (* a a))) (* a (* a (* a a))))
(* a (* a (* a a)))
a
(* a (* a a))
(* a a)
(/ 1 (+ 1/9 (* a a)))
1
(+ 1/9 (* a a))
1/9
(+ 1/81 (* a (* a (* a a))))
1/81
(/ 1 (- -1/3 a))
(- -1/3 a)
-1/3
(* rand (* (/ 1/3 (sqrt a)) a))
rand
(* (/ 1/3 (sqrt a)) a)
(/ 1/3 (sqrt a))
1/3
(sqrt a)
a
Outputs
(* (+ 1 (/ (/ rand 3) (sqrt a))) a)
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(+ 1 (/ (/ rand 3) (sqrt a)))
(+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))
1
#s(literal 1 binary64)
(/ (/ rand 3) (sqrt a))
(/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
(/ rand 3)
(/.f64 rand #s(literal 3 binary64))
rand
3
#s(literal 3 binary64)
(sqrt a)
(sqrt.f64 a)
a
a
(/ (+ (* a (* a a)) -1/27) (+ 1/9 (* a (+ a 1/3))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(+ (* a (* a a)) -1/27)
(+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))
(* a (* a a))
(*.f64 a (*.f64 a a))
a
(* a a)
(*.f64 a a)
-1/27
#s(literal -1/27 binary64)
(+ 1/9 (* a (+ a 1/3)))
(+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
1/9
#s(literal 1/9 binary64)
(* a (+ a 1/3))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(+ a 1/3)
(+.f64 a #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* (/ (* (- 1/6561 (* (* a (* a (* a a))) (* a (* a (* a a))))) (/ 1 (+ 1/9 (* a a)))) (+ 1/81 (* a (* a (* a a))))) (/ 1 (- -1/3 a)))
(/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 a (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/81 binary64)) (*.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (-.f64 #s(literal -1/3 binary64) a))))
(/ (* (- 1/6561 (* (* a (* a (* a a))) (* a (* a (* a a))))) (/ 1 (+ 1/9 (* a a)))) (+ 1/81 (* a (* a (* a a)))))
(/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 a (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/81 binary64))))
(* (- 1/6561 (* (* a (* a (* a a))) (* a (* a (* a a))))) (/ 1 (+ 1/9 (* a a))))
(/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 a (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 a a) #s(literal 1/9 binary64)))
(- 1/6561 (* (* a (* a (* a a))) (* a (* a (* a a)))))
(-.f64 #s(literal 1/6561 binary64) (*.f64 a (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))))
1/6561
#s(literal 1/6561 binary64)
(* (* a (* a (* a a))) (* a (* a (* a a))))
(*.f64 a (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))))
(* a (* a (* a a)))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(* a (* a a))
(*.f64 a (*.f64 a a))
(* a a)
(*.f64 a a)
(/ 1 (+ 1/9 (* a a)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal 1/9 binary64)))
1
#s(literal 1 binary64)
(+ 1/9 (* a a))
(+.f64 (*.f64 a a) #s(literal 1/9 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/81 (* a (* a (* a a))))
(+.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/81 binary64))
1/81
#s(literal 1/81 binary64)
(/ 1 (- -1/3 a))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))
(- -1/3 a)
(-.f64 #s(literal -1/3 binary64) a)
-1/3
#s(literal -1/3 binary64)
(* rand (* (/ 1/3 (sqrt a)) a))
(/.f64 (*.f64 rand a) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
rand
(* (/ 1/3 (sqrt a)) a)
(/.f64 (/.f64 a (sqrt.f64 a)) #s(literal 3 binary64))
(/ 1/3 (sqrt a))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
1/3
#s(literal 1/3 binary64)
(sqrt a)
(sqrt.f64 a)
a

localize241.0ms (2%)

Memory
12.2MiB live, 217.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 a)
accuracy99.7%
(*.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
accuracy99.4%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
accuracy98.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
accuracy52.0%
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
accuracy48.4%
(*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
accuracy17.5%
(/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))
accuracy100.0%
(+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
accuracy100.0%
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
accuracy99.9%
(*.f64 a (*.f64 a a))
accuracy35.6%
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)))
accuracy100.0%
(sqrt.f64 a)
accuracy99.9%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))) a)
accuracy99.5%
(/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
Samples
96.0ms256×0valid
Compiler

Compiled 291 to 38 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-mult: 37.0ms (48.7% of total)
const: 17.0ms (22.4% of total)
ival-div: 11.0ms (14.5% of total)
ival-add: 7.0ms (9.2% of total)
ival-sub: 2.0ms (2.6% of total)
ival-sqrt: 2.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory
-7.7MiB live, 30.4MiB allocated
Counts
19 → 276
Calls
Call 1
Inputs
#<alt (* (+ 1 (/ (/ rand 3) (sqrt a))) a)>
#<alt (+ 1 (/ (/ rand 3) (sqrt a)))>
#<alt (/ (/ rand 3) (sqrt a))>
#<alt (/ rand 3)>
#<alt (/ (+ (* a (* a a)) -1/27) (+ 1/9 (* a (+ a 1/3))))>
#<alt (+ (* a (* a a)) -1/27)>
#<alt (* a (* a a))>
#<alt (* a a)>
#<alt (* (/ (* (- 1/6561 (* (* a (* a (* a a))) (* a (* a (* a a))))) (/ 1 (+ 1/9 (* a a)))) (+ 1/81 (* a (* a (* a a))))) (/ 1 (- -1/3 a)))>
#<alt (* (- 1/6561 (* (* a (* a (* a a))) (* a (* a (* a a))))) (/ 1 (+ 1/9 (* a a))))>
#<alt (/ (* (- 1/6561 (* (* a (* a (* a a))) (* a (* a (* a a))))) (/ 1 (+ 1/9 (* a a)))) (+ 1/81 (* a (* a (* a a)))))>
#<alt (- 1/6561 (* (* a (* a (* a a))) (* a (* a (* a a)))))>
#<alt (* rand (* (/ 1/3 (sqrt a)) a))>
#<alt (* (/ 1/3 (sqrt a)) a)>
#<alt (/ 1/3 (sqrt a))>
#<alt (sqrt a)>
#<alt (* a (+ a 1/3))>
#<alt (+ 1/9 (* a (+ a 1/3)))>
#<alt (/ 1 (+ 1/9 (* a a)))>
Outputs
#<alt a>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* 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>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) 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 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt -1/27>
#<alt (- (pow a 3) 1/27)>
#<alt (- (pow a 3) 1/27)>
#<alt (- (pow a 3) 1/27)>
#<alt (pow a 3)>
#<alt (* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))>
#<alt (* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))>
#<alt (* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))>
#<alt (pow a 3)>
#<alt (* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt 1/729>
#<alt (+ 1/729 (* -1/81 (pow a 2)))>
#<alt (+ 1/729 (* (pow a 2) (- (* 1/9 (pow a 2)) 1/81)))>
#<alt (+ 1/729 (* (pow a 2) (- (* (pow a 2) (+ 1/9 (* -1 (pow a 2)))) 1/81)))>
#<alt (* -1 (pow a 6))>
#<alt (* (pow a 6) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 6) (- (* 1/9 (/ 1 (pow a 2))) (+ 1 (/ 1/81 (pow a 4)))))>
#<alt (* (pow a 6) (- (+ (* 1/9 (/ 1 (pow a 2))) (* 1/729 (/ 1 (pow a 6)))) (+ 1 (/ 1/81 (pow a 4)))))>
#<alt (* -1 (pow a 6))>
#<alt (* (pow a 6) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 6) (- (* 1/9 (/ 1 (pow a 2))) (+ 1 (/ 1/81 (pow a 4)))))>
#<alt (* (pow a 6) (- (+ (* 1/9 (/ 1 (pow a 2))) (* 1/729 (/ 1 (pow a 6)))) (+ 1 (/ 1/81 (pow a 4)))))>
#<alt 1/9>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt 1/6561>
#<alt 1/6561>
#<alt (+ 1/6561 (* -1 (pow a 8)))>
#<alt (+ 1/6561 (* -1 (pow a 8)))>
#<alt (* -1 (pow a 8))>
#<alt (* -1 (pow a 8))>
#<alt (* (pow a 8) (- (* 1/6561 (/ 1 (pow a 8))) 1))>
#<alt (* (pow a 8) (- (* 1/6561 (/ 1 (pow a 8))) 1))>
#<alt (* -1 (pow a 8))>
#<alt (* -1 (pow a 8))>
#<alt (* (pow a 8) (- (* 1/6561 (/ 1 (pow a 8))) 1))>
#<alt (* (pow a 8) (- (* 1/6561 (/ 1 (pow a 8))) 1))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<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))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* 1/3 a)>
#<alt (* a (+ 1/3 a))>
#<alt (* a (+ 1/3 a))>
#<alt (* a (+ 1/3 a))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt 1/9>
#<alt (+ 1/9 (* 1/3 a))>
#<alt (+ 1/9 (* a (+ 1/3 a)))>
#<alt (+ 1/9 (* a (+ 1/3 a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))>
#<alt (* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))>
#<alt (* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))>
#<alt 9>
#<alt (+ 9 (* -81 (pow a 2)))>
#<alt (+ 9 (* (pow a 2) (- (* 729 (pow a 2)) 81)))>
#<alt (+ 9 (* (pow a 2) (- (* (pow a 2) (+ 729 (* -6561 (pow a 2)))) 81)))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (- 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ 1 (/ 1/81 (pow a 4))) (* 1/9 (/ 1 (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ 1 (/ 1/81 (pow a 4))) (+ (* 1/9 (/ 1 (pow a 2))) (* 1/729 (/ 1 (pow a 6))))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (- 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ 1 (/ 1/81 (pow a 4))) (* 1/9 (/ 1 (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ 1 (/ 1/81 (pow a 4))) (+ (* 1/9 (/ 1 (pow a 2))) (* 1/729 (/ 1 (pow a 6))))) (pow a 2))>
Calls

69 calls:

TimeVariablePointExpression
15.0ms
a
@0
(* (/ (* (- 1/6561 (* (* a (* a (* a a))) (* a (* a (* a a))))) (/ 1 (+ 1/9 (* a a)))) (+ 1/81 (* a (* a (* a a))))) (/ 1 (- -1/3 a)))
6.0ms
a
@inf
(* (/ (* (- 1/6561 (* (* a (* a (* a a))) (* a (* a (* a a))))) (/ 1 (+ 1/9 (* a a)))) (+ 1/81 (* a (* a (* a a))))) (/ 1 (- -1/3 a)))
1.0ms
a
@-inf
(* (+ 1 (/ (/ rand 3) (sqrt a))) a)
1.0ms
a
@-inf
(* (/ 1/3 (sqrt a)) a)
1.0ms
a
@-inf
(* (/ (* (- 1/6561 (* (* a (* a (* a a))) (* a (* a (* a a))))) (/ 1 (+ 1/9 (* a a)))) (+ 1/81 (* a (* a (* a a))))) (/ 1 (- -1/3 a)))

rewrite645.0ms (5.4%)

Memory
-9.0MiB live, 633.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 834×/-lowering-/.f32
5 834×/-lowering-/.f64
5 174×*-lowering-*.f32
5 174×*-lowering-*.f64
2 536×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036164
1234138
21880130
08899123
Stop Event
iter limit
node limit
Counts
19 → 713
Calls
Call 1
Inputs
(* (+ 1 (/ (/ rand 3) (sqrt a))) a)
(+ 1 (/ (/ rand 3) (sqrt a)))
(/ (/ rand 3) (sqrt a))
(/ rand 3)
(/ (+ (* a (* a a)) -1/27) (+ 1/9 (* a (+ a 1/3))))
(+ (* a (* a a)) -1/27)
(* a (* a a))
(* a a)
(* (/ (* (- 1/6561 (* (* a (* a (* a a))) (* a (* a (* a a))))) (/ 1 (+ 1/9 (* a a)))) (+ 1/81 (* a (* a (* a a))))) (/ 1 (- -1/3 a)))
(* (- 1/6561 (* (* a (* a (* a a))) (* a (* a (* a a))))) (/ 1 (+ 1/9 (* a a))))
(/ (* (- 1/6561 (* (* a (* a (* a a))) (* a (* a (* a a))))) (/ 1 (+ 1/9 (* a a)))) (+ 1/81 (* a (* a (* a a)))))
(- 1/6561 (* (* a (* a (* a a))) (* a (* a (* a a)))))
(* rand (* (/ 1/3 (sqrt a)) a))
(* (/ 1/3 (sqrt a)) a)
(/ 1/3 (sqrt a))
(sqrt a)
(* a (+ a 1/3))
(+ 1/9 (* a (+ a 1/3)))
(/ 1 (+ 1/9 (* a a)))
Outputs
(+.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (*.f64 a #s(literal 1 binary64)))
(+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (*.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal 1 binary64) a (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (*.f64 a #s(literal 1 binary64)))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (*.f64 #s(literal 1 binary64) a))
(fma.f64 a #s(literal 1 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(fma.f64 a (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) (*.f64 a #s(literal 1 binary64)))
(fma.f64 a (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) (*.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) a (*.f64 a #s(literal 1 binary64)))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) a (*.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (*.f64 a rand) (*.f64 a #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (*.f64 a rand) (*.f64 #s(literal 1 binary64) a))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand (*.f64 a #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand (*.f64 #s(literal 1 binary64) a))
(fma.f64 (*.f64 rand a) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (*.f64 a #s(literal 1 binary64)))
(fma.f64 (*.f64 rand a) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (*.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 rand (pow.f64 a #s(literal 1/4 binary64))) (/.f64 (*.f64 a #s(literal 1/3 binary64)) (pow.f64 a #s(literal 1/4 binary64))) (*.f64 a #s(literal 1 binary64)))
(fma.f64 (/.f64 rand (pow.f64 a #s(literal 1/4 binary64))) (/.f64 (*.f64 a #s(literal 1/3 binary64)) (pow.f64 a #s(literal 1/4 binary64))) (*.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 (*.f64 a #s(literal 1/3 binary64)) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 a #s(literal 1/4 binary64))) (*.f64 a #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 a #s(literal 1/3 binary64)) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 a #s(literal 1/4 binary64))) (*.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 a))))))
(/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a))) (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64))) a) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 a))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a)) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 a)))))))
(/.f64 (neg.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64))) a)) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 a)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a)) a)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) a)
(+.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(+.f64 (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))) (/.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (-.f64 (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) rand)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 a))) #s(literal 1 binary64))
(fma.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 a))) #s(literal 1 binary64))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (sqrt.f64 a) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (sqrt.f64 a) (-.f64 #s(literal 0 binary64) rand)) #s(literal -1 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.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))) #s(literal 1 binary64))
(fma.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))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 a #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) (/.f64 rand #s(literal -3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 a))))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 a))))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 a))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64))) (+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a)) (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 a)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 1 binary64)) (-.f64 (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 a))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) #s(literal 1 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 a))))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 a)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 a))) (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (/.f64 rand (neg.f64 (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 a) #s(literal -3 binary64))) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) rand) (sqrt.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64))) #s(literal 1 binary64)))
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(/.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 a #s(literal 1/3 binary64)))))) (+.f64 (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(literal 1/9 binary64) a) (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 a #s(literal 1/3 binary64))))))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 a #s(literal 1/3 binary64))))))) (neg.f64 (+.f64 (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(literal 1/9 binary64) a) (+.f64 a #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal 1/81 binary64)) (-.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 a #s(literal 1/3 binary64)))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) #s(literal 1/81 binary64))) (neg.f64 (-.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 a #s(literal 1/3 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 a #s(literal 1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))))
(*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 a a) #s(literal 1/9 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal 1/9 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) #s(literal 1/9 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) #s(literal 1/9 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) #s(literal 1/9 binary64))))))
(pow.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) #s(literal 1/9 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 (*.f64 a a) #s(literal 1/9 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal 1/9 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal 1/9 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 a a) #s(literal 1/9 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))))) #s(literal -1 binary64)))

simplify442.0ms (3.7%)

Memory
28.1MiB live, 692.8MiB allocated
Algorithm
egg-herbie
Rules
12 166×accelerator-lowering-fma.f32
12 166×accelerator-lowering-fma.f64
4 430×*-lowering-*.f32
4 430×*-lowering-*.f64
1 932×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01381672
13531656
28901656
325111656
453341656
083101598
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
1
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
-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)))
-1/27
(- (pow a 3) 1/27)
(- (pow a 3) 1/27)
(- (pow a 3) 1/27)
(pow a 3)
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(pow a 3)
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
1/729
(+ 1/729 (* -1/81 (pow a 2)))
(+ 1/729 (* (pow a 2) (- (* 1/9 (pow a 2)) 1/81)))
(+ 1/729 (* (pow a 2) (- (* (pow a 2) (+ 1/9 (* -1 (pow a 2)))) 1/81)))
(* -1 (pow a 6))
(* (pow a 6) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 6) (- (* 1/9 (/ 1 (pow a 2))) (+ 1 (/ 1/81 (pow a 4)))))
(* (pow a 6) (- (+ (* 1/9 (/ 1 (pow a 2))) (* 1/729 (/ 1 (pow a 6)))) (+ 1 (/ 1/81 (pow a 4)))))
(* -1 (pow a 6))
(* (pow a 6) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 6) (- (* 1/9 (/ 1 (pow a 2))) (+ 1 (/ 1/81 (pow a 4)))))
(* (pow a 6) (- (+ (* 1/9 (/ 1 (pow a 2))) (* 1/729 (/ 1 (pow a 6)))) (+ 1 (/ 1/81 (pow a 4)))))
1/9
(+ 1/9 (* -1 (pow a 2)))
(+ 1/9 (* -1 (pow a 2)))
(+ 1/9 (* -1 (pow a 2)))
(* -1 (pow a 2))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* -1 (pow a 2))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
1/6561
1/6561
(+ 1/6561 (* -1 (pow a 8)))
(+ 1/6561 (* -1 (pow a 8)))
(* -1 (pow a 8))
(* -1 (pow a 8))
(* (pow a 8) (- (* 1/6561 (/ 1 (pow a 8))) 1))
(* (pow a 8) (- (* 1/6561 (/ 1 (pow a 8))) 1))
(* -1 (pow a 8))
(* -1 (pow a 8))
(* (pow a 8) (- (* 1/6561 (/ 1 (pow a 8))) 1))
(* (pow a 8) (- (* 1/6561 (/ 1 (pow a 8))) 1))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 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))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt 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)))
(* 1/3 (sqrt (/ 1 a)))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* 1/3 a)
(* a (+ 1/3 a))
(* a (+ 1/3 a))
(* a (+ 1/3 a))
(pow a 2)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
1/9
(+ 1/9 (* 1/3 a))
(+ 1/9 (* a (+ 1/3 a)))
(+ 1/9 (* a (+ 1/3 a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
9
(+ 9 (* -81 (pow a 2)))
(+ 9 (* (pow a 2) (- (* 729 (pow a 2)) 81)))
(+ 9 (* (pow a 2) (- (* (pow a 2) (+ 729 (* -6561 (pow a 2)))) 81)))
(/ 1 (pow a 2))
(/ (- 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ 1/81 (pow a 4))) (* 1/9 (/ 1 (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ 1/81 (pow a 4))) (+ (* 1/9 (/ 1 (pow a 2))) (* 1/729 (/ 1 (pow a 6))))) (pow a 2))
(/ 1 (pow a 2))
(/ (- 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ 1/81 (pow a 4))) (* 1/9 (/ 1 (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ 1/81 (pow a 4))) (+ (* 1/9 (/ 1 (pow a 2))) (* 1/729 (/ 1 (pow a 6))))) (pow a 2))
Outputs
a
(+ a (* 1/3 (* (sqrt a) rand)))
(-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))
(+ a (* 1/3 (* (sqrt a) rand)))
(-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))
(+ a (* 1/3 (* (sqrt a) rand)))
(-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))
(+ a (* 1/3 (* (sqrt a) rand)))
(-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))
(+ a (* 1/3 (* (sqrt a) rand)))
(-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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1
#s(literal 1 binary64)
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(* 1/3 (* (sqrt (/ 1 a)) rand))
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(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
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(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
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(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
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(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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-1/27
#s(literal -1/27 binary64)
(- (pow a 3) 1/27)
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(- (pow a 3) 1/27)
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(- (pow a 3) 1/27)
(+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))
(pow a 3)
(*.f64 a (*.f64 a a))
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
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(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
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(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
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(pow a 3)
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(pow a 3)
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(pow a 3)
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(pow a 3)
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(pow a 3)
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(pow a 3)
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(pow a 3)
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(pow a 3)
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(pow a 3)
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(pow a 3)
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(pow a 3)
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(pow a 3)
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(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
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(pow a 2)
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(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
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(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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1/729
#s(literal 1/729 binary64)
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(+ 1/729 (* (pow a 2) (- (* (pow a 2) (+ 1/9 (* -1 (pow a 2)))) 1/81)))
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(* -1 (pow a 6))
(-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64)))
(* (pow a 6) (- (* 1/9 (/ 1 (pow a 2))) 1))
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(* (pow a 6) (- (* 1/9 (/ 1 (pow a 2))) (+ 1 (/ 1/81 (pow a 4)))))
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(* (pow a 6) (- (+ (* 1/9 (/ 1 (pow a 2))) (* 1/729 (/ 1 (pow a 6)))) (+ 1 (/ 1/81 (pow a 4)))))
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(* -1 (pow a 6))
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(* (pow a 6) (- (* 1/9 (/ 1 (pow a 2))) (+ 1 (/ 1/81 (pow a 4)))))
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(* (pow a 6) (- (+ (* 1/9 (/ 1 (pow a 2))) (* 1/729 (/ 1 (pow a 6)))) (+ 1 (/ 1/81 (pow a 4)))))
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1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1 (pow a 2)))
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(+ 1/9 (* -1 (pow a 2)))
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(* -1 (pow a 2))
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(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
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(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
(* -1 (pow a 2))
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1/6561
#s(literal 1/6561 binary64)
1/6561
#s(literal 1/6561 binary64)
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(-.f64 #s(literal 1/6561 binary64) (pow.f64 a #s(literal 8 binary64)))
(* 1/3 (* (sqrt a) rand))
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(* 1/3 (* (sqrt a) rand))
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(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.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))
(*.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 (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* 1/3 a)
(*.f64 a #s(literal 1/3 binary64))
(* a (+ 1/3 a))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* a (+ 1/3 a))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* a (+ 1/3 a))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 a))
(+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))
(+ 1/9 (* a (+ 1/3 a)))
(+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
(+ 1/9 (* a (+ 1/3 a)))
(+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
9
#s(literal 9 binary64)
(+ 9 (* -81 (pow a 2)))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal -81 binary64)))
(+ 9 (* (pow a 2) (- (* 729 (pow a 2)) 81)))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a #s(literal 729 binary64))))))
(+ 9 (* (pow a 2) (- (* (pow a 2) (+ 729 (* -6561 (pow a 2)))) 81)))
(+.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 729 binary64) (*.f64 a (*.f64 a #s(literal -6561 binary64))))))))))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (- 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) a) a)
(/ (- (+ 1 (/ 1/81 (pow a 4))) (* 1/9 (/ 1 (pow a 2)))) (pow a 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 a a))
(/ (- (+ 1 (/ 1/81 (pow a 4))) (+ (* 1/9 (/ 1 (pow a 2))) (* 1/729 (/ 1 (pow a 6))))) (pow a 2))
(/.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 a a)) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 a #s(literal 6 binary64)))))) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (- 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) a) a)
(/ (- (+ 1 (/ 1/81 (pow a 4))) (* 1/9 (/ 1 (pow a 2)))) (pow a 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 a a))
(/ (- (+ 1 (/ 1/81 (pow a 4))) (+ (* 1/9 (/ 1 (pow a 2))) (* 1/729 (/ 1 (pow a 6))))) (pow a 2))
(/.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 a a)) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 a #s(literal 6 binary64)))))) (*.f64 a a))

eval369.0ms (3.1%)

Memory
-150.8MiB live, 299.5MiB allocated
Compiler

Compiled 36 416 to 2 753 computations (92.4% saved)

prune140.0ms (1.2%)

Memory
16.7MiB live, 375.4MiB allocated
Pruning

32 alts after pruning (25 fresh and 7 done)

PrunedKeptTotal
New1 140121 152
Fresh71320
Picked325
Done055
Total1 150321 182
Accuracy
100.0%
Counts
1 182 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.4%
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
10.6%
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
19.1%
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
10.6%
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))
13.9%
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))
62.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
98.1%
(-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))
99.8%
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
99.0%
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
98.1%
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
62.9%
(+.f64 a #s(literal -1/3 binary64))
3.4%
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/43046721 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (*.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/6561 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
13.9%
(*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
1.4%
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a #s(literal 729 binary64))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
0.8%
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal -81 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
0.8%
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 729 binary64) (*.f64 a (*.f64 a #s(literal -6561 binary64))))))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
1.7%
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 9 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
37.3%
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a)) a)
35.1%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
5.7%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
10.5%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
5.8%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
10.6%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
9.9%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
98.1%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))) a)
38.1%
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
37.4%
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
37.3%
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
37.3%
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
37.3%
(*.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a))
61.9%
a
1.5%
#s(literal -1/3 binary64)
Compiler

Compiled 1 810 to 627 computations (65.4% saved)

regimes75.0ms (0.6%)

Memory
-8.2MiB live, 186.8MiB allocated
Counts
54 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 9 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal -81 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a #s(literal 729 binary64))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 729 binary64) (*.f64 a (*.f64 a #s(literal -6561 binary64))))))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/81 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/43046721 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (*.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/6561 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/387420489 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))) (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1/729 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(*.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a)) a)
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))
(*.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))) a)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))) a)
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) rand)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Outputs
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
Calls

4 calls:

18.0ms
a
17.0ms
rand
16.0ms
(*.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)))
16.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
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)

regimes37.0ms (0.3%)

Memory
14.0MiB live, 91.6MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 9 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal -81 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a #s(literal 729 binary64))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 729 binary64) (*.f64 a (*.f64 a #s(literal -6561 binary64))))))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/81 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/43046721 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (*.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/6561 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/387420489 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))) (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1/729 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(*.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a)) a)
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))
(*.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))) a)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))) a)
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
Outputs
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
Calls

2 calls:

15.0ms
a
15.0ms
rand
Results
AccuracySegmentsBranch
99.8%1a
99.8%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes54.0ms (0.5%)

Memory
-15.5MiB live, 65.8MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 9 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal -81 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a #s(literal 729 binary64))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 729 binary64) (*.f64 a (*.f64 a #s(literal -6561 binary64))))))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/81 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/43046721 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (*.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/6561 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/387420489 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))) (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1/729 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(*.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a)) a)
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))
(*.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))) a)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))) a)
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
Outputs
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
Calls

2 calls:

15.0ms
rand
14.0ms
a
Results
AccuracySegmentsBranch
99.0%1a
99.0%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes36.0ms (0.3%)

Memory
32.3MiB live, 71.1MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 9 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal -81 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a #s(literal 729 binary64))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 729 binary64) (*.f64 a (*.f64 a #s(literal -6561 binary64))))))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/81 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/43046721 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (*.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/6561 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/387420489 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))) (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1/729 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(*.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a)) a)
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))
(*.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))) a)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))) a)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))) a)
Calls

2 calls:

15.0ms
a
13.0ms
rand
Results
AccuracySegmentsBranch
98.1%1a
98.1%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes44.0ms (0.4%)

Memory
-32.1MiB live, 89.7MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 9 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal -81 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a #s(literal 729 binary64))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 729 binary64) (*.f64 a (*.f64 a #s(literal -6561 binary64))))))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/81 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/43046721 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (*.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/6561 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/387420489 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))) (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1/729 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(*.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a)) a)
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))
(*.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))) a)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))) a)
Calls

2 calls:

21.0ms
a
14.0ms
rand
Results
AccuracySegmentsBranch
98.1%1a
98.1%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes37.0ms (0.3%)

Memory
22.7MiB live, 100.0MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 9 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal -81 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a #s(literal 729 binary64))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 729 binary64) (*.f64 a (*.f64 a #s(literal -6561 binary64))))))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/81 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/43046721 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (*.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/6561 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/387420489 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))) (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1/729 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(*.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a)) a)
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)))
(*.f64 a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))))
Outputs
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
Calls

2 calls:

15.0ms
a
13.0ms
rand
Results
AccuracySegmentsBranch
98.1%1a
98.1%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes36.0ms (0.3%)

Memory
1.7MiB live, 83.5MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 9 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal -81 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a #s(literal 729 binary64))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 729 binary64) (*.f64 a (*.f64 a #s(literal -6561 binary64))))))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/81 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/43046721 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (*.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/6561 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/387420489 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))) (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1/729 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(*.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a)) a)
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
Outputs
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
Calls

2 calls:

15.0ms
rand
14.0ms
a
Results
AccuracySegmentsBranch
98.1%1a
98.1%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes35.0ms (0.3%)

Memory
12.6MiB live, 87.0MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 9 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal -81 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a #s(literal 729 binary64))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 729 binary64) (*.f64 a (*.f64 a #s(literal -6561 binary64))))))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/81 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/43046721 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (*.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/6561 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/387420489 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))) (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1/729 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(*.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a)) a)
Outputs
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
Calls

2 calls:

14.0ms
a
14.0ms
rand
Results
AccuracySegmentsBranch
62.9%1a
93.5%3rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes26.0ms (0.2%)

Memory
-18.0MiB live, 61.8MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 9 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal -81 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a #s(literal 729 binary64))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 729 binary64) (*.f64 a (*.f64 a #s(literal -6561 binary64))))))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/81 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/43046721 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (*.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/6561 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/387420489 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))) (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1/729 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(*.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
Outputs
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
Calls

1 calls:

17.0ms
rand
Results
AccuracySegmentsBranch
93.5%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory
16.3MiB live, 55.1MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 9 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal -81 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a #s(literal 729 binary64))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 729 binary64) (*.f64 a (*.f64 a #s(literal -6561 binary64))))))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/81 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/43046721 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (*.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/6561 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/387420489 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))) (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1/729 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(*.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a))
Outputs
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(+.f64 a #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
Calls

1 calls:

13.0ms
rand
Results
AccuracySegmentsBranch
92.8%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory
0.8MiB live, 39.6MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 9 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal -81 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a #s(literal 729 binary64))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 729 binary64) (*.f64 a (*.f64 a #s(literal -6561 binary64))))))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/81 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/43046721 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (*.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/6561 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/387420489 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))) (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1/729 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
Outputs
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
Calls

1 calls:

11.0ms
rand
Results
AccuracySegmentsBranch
73.6%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-26.3MiB live, 19.9MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
Outputs
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
Calls

1 calls:

7.0ms
rand
Results
AccuracySegmentsBranch
73.5%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
14.9MiB live, 14.9MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
Outputs
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))
Calls

1 calls:

4.0ms
rand
Results
AccuracySegmentsBranch
73.5%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
10.9MiB live, 10.9MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
Outputs
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))
Calls

1 calls:

3.0ms
rand
Results
AccuracySegmentsBranch
68.3%2rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
-29.1MiB live, 9.8MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
Outputs
(+.f64 a #s(literal -1/3 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
Calls

1 calls:

5.0ms
rand
Results
AccuracySegmentsBranch
67.2%2rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 a #s(literal -1/3 binary64))
Outputs
(+.f64 a #s(literal -1/3 binary64))
Calls

2 calls:

2.0ms
a
2.0ms
rand
Results
AccuracySegmentsBranch
62.9%1a
62.9%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
Outputs
a
Calls

2 calls:

2.0ms
a
2.0ms
rand
Results
AccuracySegmentsBranch
61.9%1rand
61.9%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
7.3MiB live, 7.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
a
1.0ms
rand
Results
AccuracySegmentsBranch
1.5%1rand
1.5%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch32.0ms (0.3%)

Memory
-11.3MiB live, 66.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
9.183084897222598e+86
2.161154530896807e+88
15.0ms
-7.65128203928636e+66
-9.574893417784691e+63
Samples
18.0ms240×0valid
Compiler

Compiled 280 to 228 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 4.0ms (34.6% of total)
ival-div: 3.0ms (25.9% of total)
ival-sqrt: 2.0ms (17.3% of total)
ival-sub: 1.0ms (8.6% of total)
ival-add: 1.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch81.0ms (0.7%)

Memory
-31.8MiB live, 39.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
64.0ms
9.183084897222598e+86
2.161154530896807e+88
13.0ms
-7.65128203928636e+66
-9.574893417784691e+63
Samples
69.0ms240×0valid
Compiler

Compiled 280 to 228 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 56.0ms (88.1% of total)
ival-div: 3.0ms (4.7% of total)
ival-sqrt: 2.0ms (3.1% of total)
ival-sub: 1.0ms (1.6% of total)
ival-add: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch42.0ms (0.3%)

Memory
-0.5MiB live, 38.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
9.183084897222598e+86
2.161154530896807e+88
13.0ms
-7.65128203928636e+66
-9.574893417784691e+63
Samples
30.0ms240×0valid
Compiler

Compiled 250 to 198 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 16.0ms (65.4% of total)
ival-mult: 4.0ms (16.4% of total)
ival-sqrt: 2.0ms (8.2% of total)
ival-sub: 1.0ms (4.1% of total)
ival-add: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch209.0ms (1.8%)

Memory
-10.1MiB live, 66.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
104.0ms
1.1287921081909792e+138
5.6549327574209e+159
12.0ms
-5.089360578090548e+130
-1.8313746097974324e+129
Samples
20.0ms288×0valid
Compiler

Compiled 485 to 381 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 4.0ms (29.4% of total)
ival-mult: 4.0ms (29.4% of total)
ival-sqrt: 2.0ms (14.7% of total)
ival-sub: 1.0ms (7.3% of total)
ival-add: 1.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch125.0ms (1%)

Memory
13.4MiB live, 54.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
109.0ms
1.1287921081909792e+138
5.6549327574209e+159
12.0ms
-5.089360578090548e+130
-1.8313746097974324e+129
Samples
111.0ms288×0valid
Compiler

Compiled 429 to 339 computations (21% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-div: 95.0ms (91% of total)
ival-mult: 5.0ms (4.8% of total)
ival-sqrt: 2.0ms (1.9% of total)
ival-sub: 1.0ms (1% of total)
ival-add: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch128.0ms (1.1%)

Memory
-4.6MiB live, 71.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.1287921081909792e+138
5.6549327574209e+159
33.0ms
-5.089360578090548e+130
-1.8313746097974324e+129
Samples
20.0ms288×0valid
Compiler

Compiled 363 to 284 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (36.4% of total)
ival-div: 4.0ms (29.1% of total)
ival-sqrt: 2.0ms (14.6% of total)
ival-sub: 1.0ms (7.3% of total)
ival-add: 1.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Memory
29.0MiB live, 67.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
1.1287921081909792e+138
5.6549327574209e+159
Samples
14.0ms176×0valid
Compiler

Compiled 223 to 172 computations (22.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (41.8% of total)
ival-mult: 3.0ms (31.4% of total)
ival-sub: 1.0ms (10.5% of total)
ival-add: 1.0ms (10.5% of total)
ival-sqrt: 1.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Memory
-20.4MiB live, 60.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
1.1287921081909792e+138
5.6549327574209e+159
Samples
15.0ms176×0valid
Compiler

Compiled 201 to 161 computations (19.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 3.0ms (27.2% of total)
ival-add: 3.0ms (27.2% of total)
ival-mult: 3.0ms (27.2% of total)
ival-sub: 1.0ms (9.1% of total)
ival-sqrt: 1.0ms (9.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify15.0ms (0.1%)

Memory
3.6MiB live, 42.8MiB allocated
Algorithm
egg-herbie
Rules
48×*-commutative_binary64
36×+-commutative_binary64
sub-neg_binary64
if-if-or-not_binary32
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102279
1156279
2163279
3167279
4169279
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))) a)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(if (<=.f64 rand #s(literal -7500000000000000244670237536100345798073154332054152240851591364608 binary64)) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand) (if (<=.f64 rand #s(literal 4500000000000000259087026248172714687538357589147660435384799763034907183680845237977088 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)))
(if (<=.f64 rand #s(literal -7500000000000000244670237536100345798073154332054152240851591364608 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 1999999999999999918833448912700725462983992179296902879339478019613407845901908851032064 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))))
(if (<=.f64 rand #s(literal -6399999999999999949378472082152566452656391788430749143396371136512 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand #s(literal 960000000000000014045467421447878109731241268350068856907466355683004509681102287273984 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))))
(if (<=.f64 rand #s(literal -17500000000000000430547522487239528048701256376847693035917703021040910173372394697204077917222636652682033253850759309786735443968 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 340000000000000020377135497566162311119841696626476160735726380883162268564388087895595071525238354736387576899751767598006090424459440883179607254106112 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))))
(if (<=.f64 rand #s(literal -26999999999999998412730109186342174002051075544644223250859354920151880384729214433073618986731461611894208169660277746149363810304 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 135000000000000003772644320865605862033954520914132712661669155384836542610535851532394037255421684619136471881364959391148613419542191451439269675008 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))))
(if (<=.f64 rand #s(literal -21499999999999999192104603106653018328936968722397411628922024177915463407611844412513735622503879286025321492564152196084539588608 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 4700000000000000037124078762186866421825330446343291839415712728004931076618074196600477282340875996308133558159651198704106333053260636925252140531712 binary64)) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))))
(if (<=.f64 rand #s(literal 84999999999999995645380458548651000638750921612560093586593906285655783481724432625588022407136585443613234946011589609588741724654547084845080641536 binary64)) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64)))
(if (<=.f64 rand #s(literal 2700000000000000096604890346336283600687917625564204055824102446469991550042513131261673047030600164148934188194253994233445469012651327619072 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64)))
(+.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 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))) a)
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))) a)
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(+.f64 a (*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64))))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -7500000000000000244670237536100345798073154332054152240851591364608 binary64)) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand) (if (<=.f64 rand #s(literal 4500000000000000259087026248172714687538357589147660435384799763034907183680845237977088 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)))
(if (<=.f64 rand #s(literal -7500000000000000244670237536100345798073154332054152240851591364608 binary64)) (*.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64))) (if (<=.f64 rand #s(literal 4500000000000000259087026248172714687538357589147660435384799763034907183680845237977088 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))))
(if (<=.f64 rand #s(literal -7500000000000000244670237536100345798073154332054152240851591364608 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 1999999999999999918833448912700725462983992179296902879339478019613407845901908851032064 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))))
(if (<=.f64 rand #s(literal -7500000000000000244670237536100345798073154332054152240851591364608 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (if (<=.f64 rand #s(literal 1999999999999999918833448912700725462983992179296902879339478019613407845901908851032064 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)))))
(if (<=.f64 rand #s(literal -6399999999999999949378472082152566452656391788430749143396371136512 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand #s(literal 960000000000000014045467421447878109731241268350068856907466355683004509681102287273984 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))))
(if (<=.f64 rand #s(literal -6399999999999999949378472082152566452656391788430749143396371136512 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 960000000000000014045467421447878109731241268350068856907466355683004509681102287273984 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -17500000000000000430547522487239528048701256376847693035917703021040910173372394697204077917222636652682033253850759309786735443968 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 340000000000000020377135497566162311119841696626476160735726380883162268564388087895595071525238354736387576899751767598006090424459440883179607254106112 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))))
(if (<=.f64 rand #s(literal -17500000000000000430547522487239528048701256376847693035917703021040910173372394697204077917222636652682033253850759309786735443968 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 340000000000000020377135497566162311119841696626476160735726380883162268564388087895595071525238354736387576899751767598006090424459440883179607254106112 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(if (<=.f64 rand #s(literal -26999999999999998412730109186342174002051075544644223250859354920151880384729214433073618986731461611894208169660277746149363810304 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 135000000000000003772644320865605862033954520914132712661669155384836542610535851532394037255421684619136471881364959391148613419542191451439269675008 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))))
(if (<=.f64 rand #s(literal -26999999999999998412730109186342174002051075544644223250859354920151880384729214433073618986731461611894208169660277746149363810304 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) (if (<=.f64 rand #s(literal 135000000000000003772644320865605862033954520914132712661669155384836542610535851532394037255421684619136471881364959391148613419542191451439269675008 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(if (<=.f64 rand #s(literal -21499999999999999192104603106653018328936968722397411628922024177915463407611844412513735622503879286025321492564152196084539588608 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 4700000000000000037124078762186866421825330446343291839415712728004931076618074196600477282340875996308133558159651198704106333053260636925252140531712 binary64)) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))))
(if (<=.f64 rand #s(literal -21499999999999999192104603106653018328936968722397411628922024177915463407611844412513735622503879286025321492564152196084539588608 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) (if (<=.f64 rand #s(literal 4700000000000000037124078762186866421825330446343291839415712728004931076618074196600477282340875996308133558159651198704106333053260636925252140531712 binary64)) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64))))
(if (<=.f64 rand #s(literal 84999999999999995645380458548651000638750921612560093586593906285655783481724432625588022407136585443613234946011589609588741724654547084845080641536 binary64)) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1/9 binary64)))
(if (<=.f64 rand #s(literal 2700000000000000096604890346336283600687917625564204055824102446469991550042513131261673047030600164148934188194253994233445469012651327619072 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64)))
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)

soundness1.6s (13.4%)

Memory
-6.3MiB live, 1 459.6MiB allocated
Rules
12 592×accelerator-lowering-fma.f32
12 592×accelerator-lowering-fma.f64
12 166×accelerator-lowering-fma.f32
12 166×accelerator-lowering-fma.f64
12 040×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036164
1234138
21880130
08899123
022106
113899
2117797
0821592
01449
17043
253743
3648043
0816039
01181218
13291149
28621145
323441129
457021129
080691096
01381672
13531656
28901656
325111656
453341656
083101598
04584145
114343684
251273590
080913343
02061
111258
282158
0895757
03391835
110321615
234291545
080401436
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 853 to 520 computations (39% saved)

preprocess127.0ms (1.1%)

Memory
23.1MiB live, 218.7MiB allocated
Compiler

Compiled 644 to 230 computations (64.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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