Octave 3.8, oct_fill_randg

Time bar (total: 11.3s)

analyze22.0ms (0.2%)

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

Compiled 23 to 14 computations (39.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (40.2% of total)
ival-sub: 3.0ms (24.1% of total)
ival-div: 2.0ms (16.1% of total)
ival-add: 1.0ms (8% of total)
ival-sqrt: 1.0ms (8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.2s (10.5%)

Results
811.0ms8256×0valid
63.0ms534×0invalid
Precisions
Click to see histograms. Total time spent on operations: 609.0ms
ival-mult: 202.0ms (33.1% of total)
ival-div: 159.0ms (26.1% of total)
ival-sqrt: 92.0ms (15.1% of total)
ival-add: 72.0ms (11.8% of total)
ival-sub: 61.0ms (10% of total)
const: 19.0ms (3.1% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess208.0ms (1.8%)

Algorithm
2×egg-herbie
Rules
1940×fnmsub-define
1814×fnmadd-define
1436×fma-define
1376×fmsub-define
1282×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03592
111084
239874
3155272
4592972
01414
13313
28512
322812
455312
599912
6161312
7281812
8739612
9783512
10799212
0811912
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
Outputs
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #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) (fma (rsqrt (fma a 9 -3)) rand 1))
(* (- (neg a) (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- (neg a) (/ 1 3))))) rand)))
(* (+ a 1/3) (fnmsub rand (rsqrt (fma a -9 -3)) 1))
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand))))
(* (+ a -1/3) (fnmsub (rsqrt (fma a 9 -3)) rand -1))
(neg (* (- (neg a) (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- (neg a) (/ 1 3))))) rand))))
(* (- -1/3 a) (fnmsub rand (rsqrt (fma a -9 -3)) 1))
(neg (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand)))))
(* (+ a -1/3) (fmsub (rsqrt (fma a 9 -3)) rand 1))
(* (- rand (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- rand (/ 1 3))))) a)))
(* (+ rand -1/3) (fma a (rsqrt (fma 9 rand -3)) 1))

explain169.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
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)))
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-(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) #s(literal 3 binary64))
00-0-(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
00-0-#s(literal 9 binary64)
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-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-(+.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-a
Results
92.0ms494×0valid
6.0ms6×5exit
2.0ms8×1valid
1.0ms4×2valid
Compiler

Compiled 196 to 41 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 11.0ms (30.6% of total)
ival-mult: 11.0ms (30.6% of total)
ival-sqrt: 5.0ms (13.9% of total)
ival-sub: 3.0ms (8.4% of total)
ival-add: 3.0ms (8.4% of total)
const: 1.0ms (2.8% of total)
backward-pass: 1.0ms (2.8% of total)

eval0.0ms (0%)

Compiler

Compiled 16 to 11 computations (31.3% saved)

prune1.0ms (0%)

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

Compiled 38 to 24 computations (36.8% saved)

simplify125.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
✓cost-diff256
(*.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-diff256
(+.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-diff384
(*.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-diff0
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))))
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))
Rules
1826×fnmadd-define
1382×fmsub-define
1342×sum4-define
1268×sum3-define
1262×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021109
147105
213294
331694
467094
5111394
6175594
7298694
8759094
0801494
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ a -1/3) (+ 1 (/ rand (sqrt (* (+ a -1/3) 9)))))
(+ a -1/3)
a
-1/3
(+ 1 (/ rand (sqrt (* (+ a -1/3) 9))))
1
(/ rand (sqrt (* (+ a -1/3) 9)))
rand
(sqrt (* (+ a -1/3) 9))
(* (+ a -1/3) 9)
9
(* (- 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 (/ rand (sqrt (* (+ a -1/3) 9)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))) (+.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 (sqrt (* (+ a -1/3) 9))))
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
1
#s(literal 1 binary64)
(/ rand (sqrt (* (+ a -1/3) 9)))
(/.f64 rand (sqrt.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
rand
(sqrt (* (+ a -1/3) 9))
(sqrt.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(* (+ a -1/3) 9)
(+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))
9
#s(literal 9 binary64)
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))) (+.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
#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 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
(/.f64 rand (sqrt.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(sqrt (* 9 (- a (/ 1 3))))
(sqrt.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(* 9 (- a (/ 1 3)))
(+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))
9
#s(literal 9 binary64)
rand

localize136.0ms (1.2%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
✓accuracy99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))
✓accuracy99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))
✓accuracy99.8%
(sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))
✓accuracy99.6%
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))
Results
99.0ms247×0valid
4.0ms3×5exit
2.0ms4×1valid
1.0ms2×2valid
Compiler

Compiled 138 to 21 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 13.0ms (34% of total)
ival-div: 6.0ms (15.7% of total)
ival-sqrt: 6.0ms (15.7% of total)
...c/correct-round.rkt:119:19: 6.0ms (15.7% of total)
ival-add: 5.0ms (13.1% of total)
const: 1.0ms (2.6% of total)
ival-sub: 1.0ms (2.6% of total)
backward-pass: 1.0ms (2.6% of total)

series40.0ms (0.4%)

Counts
12 → 216
Calls
Call 1
Inputs
#<alt (* (+ a -1/3) (+ 1 (/ rand (sqrt (* (+ a -1/3) 9)))))>
#<alt (+ a -1/3)>
#<alt (+ 1 (/ rand (sqrt (* (+ a -1/3) 9))))>
#<alt (/ rand (sqrt (* (+ a -1/3) 9)))>
#<alt (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))>
#<alt (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))>
#<alt (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)>
#<alt (- a (/ 1 3))>
#<alt (sqrt (* (+ a -1/3) 9))>
#<alt (* (+ a -1/3) 9)>
#<alt (/ 1 (sqrt (* 9 (- a (/ 1 3)))))>
#<alt (sqrt (* 9 (- a (/ 1 3))))>
Outputs
#<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 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 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))>
#<alt (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (+ 1 (+ (* -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 (/ (+ (* 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 (* 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 (+ 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 (* 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 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))>
#<alt (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (+ 1 (+ (* -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 (/ (+ (* 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>
#<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 (* 1/3 (* 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>
#<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 -3>
#<alt (- (* 9 a) 3)>
#<alt (- (* 9 a) 3)>
#<alt (- (* 9 a) 3)>
#<alt (* 9 a)>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* 9 a)>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* 1/3 (sqrt -3))>
#<alt (+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))>
#<alt (+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))>
#<alt (+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))>
#<alt (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))>
#<alt (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))>
#<alt (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))>
#<alt (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))>
#<alt (* 3 (sqrt -1/3))>
#<alt (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))>
#<alt (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))>
#<alt (* 3 (sqrt a))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))>
#<alt (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))>
Calls

54 calls:

TimeVariablePointExpression
22.0ms
a
@inf
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
1.0ms
a
@inf
(sqrt (* (+ a -1/3) 9))
1.0ms
a
@0
(* (+ a -1/3) (+ 1 (/ rand (sqrt (* (+ a -1/3) 9)))))
1.0ms
rand
@0
(* (+ a -1/3) (+ 1 (/ rand (sqrt (* (+ a -1/3) 9)))))
1.0ms
a
@-inf
(* (+ a -1/3) (+ 1 (/ rand (sqrt (* (+ a -1/3) 9)))))

rewrite279.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
4458×*-lowering-*.f32
4458×*-lowering-*.f64
2418×/-lowering-/.f32
2418×/-lowering-/.f64
1284×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02193
112289
286079
0903779
Stop Event
1×iter limit
1×node limit
Counts
12 → 692
Calls
Call 1
Inputs
(* (+ a -1/3) (+ 1 (/ rand (sqrt (* (+ a -1/3) 9)))))
(+ a -1/3)
(+ 1 (/ rand (sqrt (* (+ a -1/3) 9))))
(/ rand (sqrt (* (+ a -1/3) 9)))
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
(- a (/ 1 3))
(sqrt (* (+ a -1/3) 9))
(* (+ a -1/3) 9)
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
(sqrt (* 9 (- a (/ 1 3))))
Outputs
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) a)) (+.f64 (*.f64 rand (*.f64 (/.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 #s(literal -1/3 binary64))))
(+.f64 (*.f64 rand (*.f64 (/.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 (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) a)) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (*.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 (+.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 (*.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 (+.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 (*.f64 (*.f64 a (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 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))))
(+.f64 (*.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 a (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) rand) (+.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 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) a))) (*.f64 rand (*.f64 (/.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 (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 (/.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 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) a)))
(+.f64 (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 a (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) rand)) (*.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 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 a (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) rand))
(+.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) a) #s(literal -1/3 binary64))
(+.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) #s(literal -1/3 binary64)) a)
(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))))
(-.f64 (/.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (-.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))))
(-.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 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))))
(-.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 -3 binary64) (*.f64 #s(literal 9 binary64) a))) (*.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 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) a) #s(literal 1/3 binary64))
(-.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) (/.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(-.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) (/.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 (+.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 #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 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(fma.f64 rand (*.f64 (/.f64 (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 #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 (+.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)))
(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 (+.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))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 rand (+.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 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 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 (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 #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) rand (+.f64 a #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (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 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.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 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.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 #s(literal 1/3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))))) (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 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 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))))) (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.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 a a) #s(literal -1/9 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (*.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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))) (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)) (*.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))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (*.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))) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (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 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)) (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 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 binary64) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 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 #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 binary64) (+.f64 a #s(literal -1/3 binary64))))
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
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(+.f64 (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) a)) (+.f64 (*.f64 rand (*.f64 (/.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 #s(literal -1/3 binary64))))
(+.f64 (*.f64 rand (*.f64 (/.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 (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) a)) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (*.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 (+.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 (*.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 (+.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 (*.f64 (*.f64 a (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 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))))
(+.f64 (*.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 a (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) rand) (+.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 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) a))) (*.f64 rand (*.f64 (/.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 (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 (/.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 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) a)))
(+.f64 (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 a (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) rand)) (*.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 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 a (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) rand))
(+.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) a) #s(literal -1/3 binary64))
(+.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) #s(literal -1/3 binary64)) a)
(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))))
(-.f64 (/.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (-.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))))
(-.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 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))))
(-.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 -3 binary64) (*.f64 #s(literal 9 binary64) a))) (*.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 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) a) #s(literal 1/3 binary64))
(-.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) (/.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(-.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) (/.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 (+.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 #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 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(fma.f64 rand (*.f64 (/.f64 (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 #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 (+.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)))
(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 (+.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))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 rand (+.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 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 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 (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 #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) rand (+.f64 a #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (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 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.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 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.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 #s(literal 1/3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))))) (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 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 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))))) (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)) (*.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))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (*.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))) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (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 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) (+.f64 a #s(literal -1/3 binary64)))))
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(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))
(exp.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))
(sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))
(neg.f64 (*.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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a))))) (sqrt.f64 (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 a a)) #s(literal -1 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 9 binary64))) (sqrt.f64 (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 9 binary64))) (pow.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))))
(*.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))
(*.f64 (*.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 -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 #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 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal -3 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))

simplify293.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
4588×*-lowering-*.f32
4588×*-lowering-*.f64
3648×+-lowering-+.f64
3648×+-lowering-+.f32
1710×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03564011
111863438
244213380
081403380
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* -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)))
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 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(+ 1 (+ (* -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 (/ (+ (* 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 (* 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 (+ 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 (* 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 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(+ 1 (+ (* -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 (/ (+ (* 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
(+ 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))))
(* 1/3 (* 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
(- 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))))))))
-3
(- (* 9 a) 3)
(- (* 9 a) 3)
(- (* 9 a) 3)
(* 9 a)
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* 9 a)
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* 1/3 (sqrt -3))
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))
(* 1/3 (sqrt (/ 1 a)))
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(* 3 (sqrt -1/3))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(* 3 (sqrt a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
Outputs
(* -1/3 (+ 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 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (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 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (/.f64 (*.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 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 45/16 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))))))))))
(* 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 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/3 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 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))) a) (*.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))))))))))
(* 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 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))) a) (+.f64 (+.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))))))) #s(literal 0 binary64)) #s(literal 1 binary64))))
(* 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)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (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 (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64)))) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))))) a)) (-.f64 #s(literal 0 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)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -9 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 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 0 binary64)) a)) 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)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #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)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+.f64 #s(literal 1 binary64) (*.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))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.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)))
(+.f64 #s(literal 1 binary64) (*.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)))
(+.f64 #s(literal 1 binary64) (*.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 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt -3)))
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(* 1/3 (* (sqrt (/ 1 a)) rand))
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1
#s(literal 1 binary64)
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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)))))
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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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(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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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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(* 1/3 (* rand (sqrt -3)))
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(* 1/3 (* (sqrt (/ 1 a)) rand))
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(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 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))
(* 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
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #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 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+.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) (*.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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -9 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(*.f64 a (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (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 (+.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 (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)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/72 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
(*.f64 a (-.f64 #s(literal 0 binary64) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/432 binary64)))))))
-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)))
(* 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 #s(literal -3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -3 binary64)))))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (+.f64 (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -27/8 binary64) a) (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 (*.f64 #s(literal -135/16 binary64) a) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 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 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 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 (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (*.f64 a (*.f64 a a))))
(* 3 (sqrt -1/3))
(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(+.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 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+.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) (*.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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -9 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(*.f64 a (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (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 (+.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 (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)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/72 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
(*.f64 a (-.f64 #s(literal 0 binary64) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/432 binary64)))))))

eval128.0ms (1.1%)

Compiler

Compiled 29346 to 2718 computations (90.7% saved)

prune152.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1016101026
Fresh000
Picked202
Done000
Total1018101028
Accuracy
100.0%
Counts
1028 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) a) #s(literal 1/3 binary64))
99.8%
(+.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))
▶60.7%
(+.f64 #s(literal -1/3 binary64) a)
▶99.0%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
99.1%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
▶99.8%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) rand)))
40.6%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand)))
40.6%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
▶78.9%
(*.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)))
▶97.8%
(*.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 278 to 200 computations (28.1% saved)

simplify258.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(+.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))
✓cost-diff0
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
✓cost-diff0
(+.f64 #s(literal -1/3 binary64) a)
✓cost-diff64
(*.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)))
✓cost-diff0
(/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 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 #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) a)
✓cost-diff0
(*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) rand)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) rand))
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff128
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) rand)))
Rules
2418×*-lowering-*.f32
2418×*-lowering-*.f64
2348×/-lowering-/.f32
2348×/-lowering-/.f64
1988×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030188
177183
2195183
3625179
41459177
52819177
65014177
76968177
87336177
97407177
107407177
08132177
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ a -1/3) (+ 1 (* (/ (pow (+ a -1/3) -1/2) 3) rand)))
(+ a -1/3)
a
-1/3
(+ 1 (* (/ (pow (+ a -1/3) -1/2) 3) rand))
1
(* (/ (pow (+ a -1/3) -1/2) 3) rand)
(/ (pow (+ a -1/3) -1/2) 3)
(pow (+ a -1/3) -1/2)
-1/2
3
rand
(+ -1/3 a)
-1/3
a
(* 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) (+ 1 (/ rand (* 3 (sqrt a)))))
(+ a -1/3)
a
-1/3
(+ 1 (/ rand (* 3 (sqrt a))))
1
(/ rand (* 3 (sqrt a)))
rand
(* 3 (sqrt a))
3
(sqrt a)
(* rand (+ (* 1/3 (sqrt (+ -1/3 a))) (/ (+ -1/3 a) rand)))
rand
(+ (* 1/3 (sqrt (+ -1/3 a))) (/ (+ -1/3 a) rand))
(* 1/3 (sqrt (+ -1/3 a)))
1/3
(sqrt (+ -1/3 a))
(+ -1/3 a)
-1/3
a
(/ (+ -1/3 a) rand)
Outputs
(* (+ a -1/3) (+ 1 (* (/ (pow (+ a -1/3) -1/2) 3) rand)))
(+.f64 a (+.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 3 binary64))))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
(+ 1 (* (/ (pow (+ a -1/3) -1/2) 3) 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))))
1
#s(literal 1 binary64)
(* (/ (pow (+ a -1/3) -1/2) 3) rand)
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))
(/ (pow (+ a -1/3) -1/2) 3)
(/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow (+ a -1/3) -1/2)
(pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
3
#s(literal 3 binary64)
rand
(+ -1/3 a)
(+.f64 a #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
a
(* 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) (+ 1 (/ rand (* 3 (sqrt a)))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
(+ 1 (/ rand (* 3 (sqrt a))))
(+.f64 #s(literal 1 binary64) (*.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
1
#s(literal 1 binary64)
(/ rand (* 3 (sqrt a)))
(*.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
rand
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
3
#s(literal 3 binary64)
(sqrt a)
(sqrt.f64 a)
(* rand (+ (* 1/3 (sqrt (+ -1/3 a))) (/ (+ -1/3 a) rand)))
(+.f64 a (+.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 3 binary64))))
rand
(+ (* 1/3 (sqrt (+ -1/3 a))) (/ (+ -1/3 a) rand))
(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(* 1/3 (sqrt (+ -1/3 a)))
(/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))
1/3
#s(literal 1/3 binary64)
(sqrt (+ -1/3 a))
(pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))
(+ -1/3 a)
(+.f64 a #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
a
(/ (+ -1/3 a) rand)
(/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)

localize201.0ms (1.8%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
✓accuracy100.0%
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
✓accuracy78.9%
(*.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)))
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
✓accuracy99.5%
(/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
✓accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
✓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))))
✓accuracy99.7%
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
✓accuracy99.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) rand)
✓accuracy100.0%
(+.f64 #s(literal -1/3 binary64) a)
✓accuracy100.0%
(pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
✓accuracy99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) rand)))
✓accuracy99.6%
(*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) rand)
✓accuracy99.5%
(/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))
Results
130.0ms256×0valid
Compiler

Compiled 196 to 31 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-sqrt: 24.0ms (27% of total)
ival-pow: 21.0ms (23.7% of total)
ival-mult: 16.0ms (18% of total)
...c/correct-round.rkt:119:19: 11.0ms (12.4% of total)
ival-add: 8.0ms (9% of total)
ival-div: 7.0ms (7.9% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series36.0ms (0.3%)

Counts
21 → 396
Calls
Call 1
Inputs
#<alt (* (+ a -1/3) (+ 1 (* (/ (pow (+ a -1/3) -1/2) 3) rand)))>
#<alt (+ a -1/3)>
#<alt (+ 1 (* (/ (pow (+ a -1/3) -1/2) 3) rand))>
#<alt (* (/ (pow (+ a -1/3) -1/2) 3) rand)>
#<alt (+ -1/3 a)>
#<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) (+ 1 (/ rand (* 3 (sqrt a)))))>
#<alt (+ 1 (/ rand (* 3 (sqrt a))))>
#<alt (/ rand (* 3 (sqrt a)))>
#<alt (* rand (+ (* 1/3 (sqrt (+ -1/3 a))) (/ (+ -1/3 a) rand)))>
#<alt (/ (+ -1/3 a) rand)>
#<alt (+ (* 1/3 (sqrt (+ -1/3 a))) (/ (+ -1/3 a) rand))>
#<alt (/ (pow (+ a -1/3) -1/2) 3)>
#<alt (pow (+ a -1/3) -1/2)>
#<alt (* 1/3 rand)>
#<alt (* 3 (sqrt a))>
#<alt (* 1/3 (sqrt (+ -1/3 a)))>
#<alt (sqrt (+ -1/3 a))>
Outputs
#<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 (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (+ (* 1/54 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2)))))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) 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 (* 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 (pow (sqrt -1) 2)))))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 a)) (* rand (* (pow (sqrt -1) 2) (+ 1/27 (* -1/36 a))))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<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 (* 1/3 (* 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 (pow (sqrt -1) 2))))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
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#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (sqrt -1/3))>
#<alt (+ (* 1/6 (/ a (sqrt -1/3))) (* 1/3 (sqrt -1/3)))>
#<alt (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (* 1/6 (/ 1 (sqrt -1/3))))))>
#<alt (+ (* 1/3 (sqrt -1/3)) (* a (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/6 (/ 1 (sqrt -1/3))))))>
#<alt (* 1/3 (sqrt a))>
#<alt (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (* 1/3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* -1/1296 (sqrt (/ 1 (pow a 7)))) (* 1/3 (sqrt (/ 1 a)))))))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))>
#<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)))))))>
Calls

99 calls:

TimeVariablePointExpression
6.0ms
a
@-inf
(pow (+ a -1/3) -1/2)
3.0ms
rand
@inf
(* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
1.0ms
a
@-inf
(* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
1.0ms
rand
@-inf
(* rand (+ (* 1/3 (sqrt (+ -1/3 a))) (/ (+ -1/3 a) rand)))
1.0ms
a
@-inf
(* (+ a -1/3) (+ 1 (/ rand (* 3 (sqrt a)))))

rewrite406.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
3454×/-lowering-/.f32
3454×/-lowering-/.f64
2992×*-lowering-*.f32
2992×*-lowering-*.f64
1814×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030157
1190145
22001140
08553140
Stop Event
1×iter limit
1×node limit
Counts
21 → 869
Calls
Call 1
Inputs
(* (+ a -1/3) (+ 1 (* (/ (pow (+ a -1/3) -1/2) 3) rand)))
(+ a -1/3)
(+ 1 (* (/ (pow (+ a -1/3) -1/2) 3) rand))
(* (/ (pow (+ a -1/3) -1/2) 3) rand)
(+ -1/3 a)
(* 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) (+ 1 (/ rand (* 3 (sqrt a)))))
(+ 1 (/ rand (* 3 (sqrt a))))
(/ rand (* 3 (sqrt a)))
(* rand (+ (* 1/3 (sqrt (+ -1/3 a))) (/ (+ -1/3 a) rand)))
(/ (+ -1/3 a) rand)
(+ (* 1/3 (sqrt (+ -1/3 a))) (/ (+ -1/3 a) rand))
(/ (pow (+ a -1/3) -1/2) 3)
(pow (+ a -1/3) -1/2)
(* 1/3 rand)
(* 3 (sqrt a))
(* 1/3 (sqrt (+ -1/3 a)))
(sqrt (+ -1/3 a))
Outputs
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.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 (+.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 a #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.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)))) a) (*.f64 (+.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)))) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.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)))) #s(literal -1/3 binary64)) (*.f64 (+.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)))) a))
(+.f64 (*.f64 a (+.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 #s(literal -1/3 binary64) (+.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 #s(literal -1/3 binary64) (+.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 a (+.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 (+.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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))))) (/.f64 (pow.f64 (*.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)))) #s(literal 2 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.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)))))))
(fma.f64 a (+.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 #s(literal -1/3 binary64) (+.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))))))
(fma.f64 #s(literal -1/3 binary64) (+.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 a (+.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))))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (*.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)))))
(fma.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 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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))))
(fma.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (/.f64 (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 (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)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.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)))) a (*.f64 (+.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)))) #s(literal -1/3 binary64)))
(fma.f64 (+.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)))) #s(literal -1/3 binary64) (*.f64 (+.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)))) a))
(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 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)))))
(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 (+.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)))))
(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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))))
(fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 (+.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)))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 (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 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #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 3 binary64)))) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (-.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 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #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 3 binary64)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (-.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 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #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 2 binary64)))) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (-.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 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #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 2 binary64)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (-.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 (*.f64 a a) #s(literal -1/9 binary64)) (+.f64 #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 3 binary64)))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (-.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 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (-.f64 #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 2 binary64)))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (-.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 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #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 3 binary64)))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (-.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 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #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 2 binary64)))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (-.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 #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 3 binary64))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (-.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 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (*.f64 (+.f64 #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 3 binary64))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (-.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 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (*.f64 (+.f64 #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 3 binary64))) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (-.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 a #s(literal 1/3 binary64))))
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(*.f64 (+.f64 #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 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (-.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 (-.f64 #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 2 binary64))) (/.f64 #s(literal 1 binary64) (-.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 #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 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 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 (-.f64 #s(literal 0 binary64) rand) (neg.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) rand) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal 3 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 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) rand)) #s(literal -3 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) rand)) #s(literal 3 binary64))
(/.f64 (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) rand) #s(literal -3 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) rand)) (neg.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 rand #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) rand))) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) rand))) #s(literal -3 binary64))
(/.f64 (neg.f64 (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) rand)) #s(literal 3 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))
(*.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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) rand)
(*.f64 rand (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.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 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) rand) (/.f64 (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 #s(literal -1/3 binary64) a)
(exp.f64 (log.f64 (+.f64 a #s(literal -1/3 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)))
(sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 a #s(literal 1 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) a #s(literal -1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.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 #s(literal 1/9 binary64) (*.f64 a (+.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 a #s(literal 1/3 binary64)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))))
(/.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 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (-.f64 #s(literal 0 binary64) rand) (neg.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (+.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)))))
(/.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 a) #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(/.f64 (*.f64 #s(literal 1 binary64) rand) (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 rand #s(literal 1 binary64)) (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 #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)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal -1/3 binary64) a))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) a))
(/.f64 (neg.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (neg.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (neg.f64 (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) rand)
(/.f64 (*.f64 rand (+.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) rand))
(/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) a)) rand) (-.f64 #s(literal 0 binary64) rand))
(/.f64 (neg.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))) (-.f64 #s(literal 0 binary64) rand))
(/.f64 (exp.f64 (log.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (exp.f64 (log.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (exp.f64 (log.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (exp.f64 (log.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(/.f64 (exp.f64 (log.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (exp.f64 (log.f64 (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (exp.f64 (log.f64 (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (neg.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) rand)) (neg.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 rand #s(literal 1 binary64))) (neg.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (neg.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (neg.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (-.f64 #s(literal 0 binary64) rand))
(/.f64 (neg.f64 (*.f64 rand (+.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) a)))) (neg.f64 (-.f64 #s(literal 0 binary64) rand)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) a)) rand)) (neg.f64 (-.f64 #s(literal 0 binary64) rand)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64)))) (*.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)) #s(literal 3 binary64))) (+.f64 (*.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 (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)) (/.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 a a) (-.f64 #s(literal -1/3 binary64) a))))))
(pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) #s(literal -1 binary64))
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(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.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 (*.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 (/.f64 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 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) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 rand (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
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(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (pow.f64 a #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 a) rand) #s(literal -1 binary64)))
(*.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) #s(literal 1 binary64))
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(*.f64 (/.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 3 binary64)) rand)
(*.f64 (/.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal -1 binary64)))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal -1/2 binary64)))
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(*.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64))
(*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))
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(+.f64 (+.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(literal -1/3 binary64)))
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(+.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) (+.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))))
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(fma.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(literal -1/3 binary64)))
(fma.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
(fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (+.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))))
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(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) (+.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) (sqrt.f64 a)) rand)))
(fma.f64 rand (*.f64 (/.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(literal -1/3 binary64) (+.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))))
(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 a #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 a)) rand)))
(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 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 a)) rand)))
(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) (sqrt.f64 a)) rand)))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
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(/.f64 (*.f64 rand (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)))) (-.f64 (*.f64 #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 (+.f64 (pow.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 3/2 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))) rand) (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand))) rand) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 3/2 binary64)) (*.f64 rand (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))))))
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(/.f64 (neg.f64 (*.f64 rand (+.f64 (pow.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 3/2 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 rand rand)))))) (neg.f64 (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (*.f64 rand (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))))
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(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand))) rand)) (neg.f64 (-.f64 (*.f64 #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 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (pow.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 3/2 binary64)) (*.f64 rand (*.f64 rand rand)))) (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64)))))))
(*.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 (*.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)
(exp.f64 (*.f64 (log.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) rand) (/.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) rand))
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) rand) (/.f64 (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)) rand))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) rand)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) rand)))
(-.f64 (/.f64 (*.f64 a a) (*.f64 rand (+.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (*.f64 rand (+.f64 a #s(literal 1/3 binary64)))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 rand (-.f64 #s(literal -1/3 binary64) a))) (/.f64 (*.f64 a a) (*.f64 rand (-.f64 #s(literal -1/3 binary64) a))))
(neg.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) rand)))
(neg.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) a)) rand))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
(/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) rand))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 rand (+.f64 (*.f64 a a) (-.f64 #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 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (*.f64 rand (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) rand))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) rand))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1/3 binary64) a) rand))
(/.f64 (neg.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (neg.f64 (*.f64 rand (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (neg.f64 (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (neg.f64 (*.f64 rand (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (neg.f64 (*.f64 rand (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) a))) (neg.f64 (-.f64 #s(literal 0 binary64) rand)))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) rand)) (-.f64 #s(literal -1/3 binary64) a))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) rand)))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) rand)))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) a) rand)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) a)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) rand))) (neg.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) rand))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) rand))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))))
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(pow.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64))
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(*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))
(*.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) rand)))
(*.f64 (/.f64 #s(literal 1 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
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(*.f64 (pow.f64 (/.f64 rand (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
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(*.f64 (pow.f64 (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.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 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) rand)))
(-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) a)) rand))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))) (/.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand 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 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand rand)) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
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(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))
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(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.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 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #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 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.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 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #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 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (sqrt.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.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 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (sqrt.f64 (neg.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 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))
(pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 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 (sqrt.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (-.f64 #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))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.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 a a) (-.f64 #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 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (pow.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(*.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)))

simplify336.0ms (3%)

Algorithm
1×egg-herbie
Rules
4794×*-lowering-*.f32
4794×*-lowering-*.f64
3394×+-lowering-+.f64
3394×+-lowering-+.f32
1534×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05845200
120054380
080854380
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
(* -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 (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (+ (* 1/54 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2)))))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) 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 (* 1/3 (* 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 (pow (sqrt -1) 2)))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 a)) (* rand (* (pow (sqrt -1) 2) (+ 1/27 (* -1/36 a))))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
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))))
(* 1/3 (* 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 (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)))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 a)) (* rand (* (pow (sqrt -1) 2) (+ 1/27 (* -1/36 a))))))) (pow a 3))) (+ (* -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 (/ 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
(- 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))
(+ 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))
(* -1/9 (* (sqrt (/ 1 a)) rand))
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (* 1/3 (* (sqrt a) rand)) 1/3))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
1
(+ 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))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))
(* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))
(* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
(/ -1/3 rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(/ a rand)
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(/ a rand)
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))
(* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))
(/ (- a 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(* 1/3 (sqrt (- a 1/3)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(* 1/3 (sqrt (- a 1/3)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(* 1/3 (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))))))
(* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 a)) (* (pow (sqrt -1) 2) (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(sqrt -3)
(+ (sqrt -3) (* -9/2 (/ a (sqrt -3))))
(+ (sqrt -3) (* a (- (* -1/2 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 9/2 (/ 1 (sqrt -3))))))
(+ (sqrt -3) (* a (- (* a (+ (* -1/2 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 9/2 (/ 1 (sqrt -3))))))
(sqrt (/ 1 a))
(+ (sqrt (/ 1 a)) (* 1/6 (sqrt (/ 1 (pow a 3)))))
(+ (sqrt (/ 1 a)) (+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (* 1/6 (sqrt (/ 1 (pow a 3))))))
(+ (sqrt (/ 1 a)) (+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* 1/2 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))))))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))
(+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 a)) (- 1/27 (* -1/36 (/ a (pow (sqrt -1) 2)))))) (* -1/18 (sqrt a))) (pow a 3))) (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* 1/3 (sqrt -1/3))
(+ (* 1/6 (/ a (sqrt -1/3))) (* 1/3 (sqrt -1/3)))
(+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (* 1/6 (/ 1 (sqrt -1/3))))))
(+ (* 1/3 (sqrt -1/3)) (* a (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/6 (/ 1 (sqrt -1/3))))))
(* 1/3 (sqrt a))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (* 1/3 (sqrt (/ 1 a))))))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* -1/1296 (sqrt (/ 1 (pow a 7)))) (* 1/3 (sqrt (/ 1 a)))))))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
(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)))))))
Outputs
(* -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 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64)) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (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 binary64) (+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (/.f64 (*.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 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (*.f64 a (+.f64 (*.f64 rand (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.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 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/3 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 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))) a) (*.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))))))))))
(* 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 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) #s(literal 0 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))) a) (*.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)))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) a)))))
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))) a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))) (neg.f64 a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) a)))))
(*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 rand)))) (/.f64 (+.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 rand)) #s(literal -1/9 binary64)) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1/18 binary64)))) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (+ (* 1/54 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2)))))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) a)))))
(*.f64 (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 rand)) #s(literal -1/9 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) #s(literal -1/18 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 rand)) #s(literal 0 binary64))) a)) (neg.f64 a)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))) (neg.f64 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 (neg.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 (neg.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 (neg.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
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #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 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a)) #s(literal -1 binary64)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a)) #s(literal -1 binary64)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a)) #s(literal -1 binary64)))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(+.f64 #s(literal 1 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.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 (+ (* 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 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (/.f64 (*.f64 a (*.f64 #s(literal -27/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (+.f64 (*.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 a (*.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 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 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+.f64 #s(literal 1 binary64) (*.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 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+.f64 #s(literal 1 binary64) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/54 binary64) 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))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 rand (+.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (*.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 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.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) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64)))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 a)) (* rand (* (pow (sqrt -1) 2) (+ 1/27 (* -1/36 a))))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(+.f64 (*.f64 (neg.f64 rand) (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) #s(literal -1/54 binary64)) (*.f64 (*.f64 rand (+.f64 (*.f64 a #s(literal 1/36 binary64)) #s(literal -1/27 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/6 binary64)))) (*.f64 a (*.f64 a a)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+.f64 #s(literal 1 binary64) (*.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))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.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)))
(+.f64 #s(literal 1 binary64) (*.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)))
(+.f64 #s(literal 1 binary64) (*.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 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(*.f64 (neg.f64 rand) (+.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))) (/.f64 #s(literal -1 binary64) rand)))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(*.f64 (neg.f64 rand) (+.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))) (/.f64 #s(literal -1 binary64) rand)))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(*.f64 (neg.f64 rand) (+.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))) (/.f64 #s(literal -1 binary64) rand)))
(* 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 (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 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 (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (+.f64 (*.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 a (*.f64 rand (/.f64 #s(literal 405/8 binary64) (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 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/54 binary64) 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)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/54 binary64) rand)) (+.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 (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 (pow (sqrt -1) 2))))
(*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 rand) (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.f64 rand (+.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64)))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 a)) (* rand (* (pow (sqrt -1) 2) (+ 1/27 (* -1/36 a))))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(-.f64 (*.f64 (neg.f64 rand) (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64)))) (/.f64 (+.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) #s(literal -1/54 binary64)) (*.f64 (*.f64 rand (+.f64 (*.f64 a #s(literal 1/36 binary64)) #s(literal -1/27 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/6 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
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #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 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a)) #s(literal -1 binary64)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a)) #s(literal -1 binary64)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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1
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1
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(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(/.f64 (+.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)) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
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(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(/.f64 (+.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)) rand)
(* 1/3 (sqrt (- a 1/3)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
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(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
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(* 1/3 (sqrt (- a 1/3)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
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(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
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(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
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(* 1/3 (sqrt -3))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))
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(* 1/3 (sqrt (/ 1 a)))
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(sqrt -3)
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(sqrt (/ 1 a))
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(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
(+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))
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(+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
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(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 a)) (- 1/27 (* -1/36 (/ a (pow (sqrt -1) 2)))))) (* -1/18 (sqrt a))) (pow a 3))) (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64))) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64))) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 a))) (*.f64 a (*.f64 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)
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(* 1/3 rand)
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(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
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(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 3 (sqrt a))
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(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 1/3 (sqrt -1/3))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
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(* 1/3 (sqrt a))
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(*.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (+.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)))) (neg.f64 a))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
(*.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/216 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/1296 binary64)))) (neg.f64 a))
(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 a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (+.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (sqrt -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 (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(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 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.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 -1/72 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 (+.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 7 binary64)))) #s(literal -1/432 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (neg.f64 a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(*.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (*.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 1/72 binary64))) (neg.f64 a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64)) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (*.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 1/72 binary64)))) (neg.f64 a))

eval307.0ms (2.7%)

Compiler

Compiled 38085 to 4286 computations (88.7% saved)

prune228.0ms (2%)

Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New1669201689
Fresh325
Picked325
Done000
Total1675241699
Accuracy
100.0%
Counts
1699 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.2%
(/.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)))))
64.0%
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
34.6%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
▶19.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
99.8%
(-.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) a) #s(literal 1/3 binary64))
99.0%
(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 a)) rand)) (+.f64 a #s(literal -1/3 binary64)))
▶99.9%
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))))
▶97.9%
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
✓60.7%
(+.f64 #s(literal -1/3 binary64) a)
39.8%
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
19.2%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
10.0%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
63.7%
(*.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
▶34.6%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
✓99.8%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) rand)))
97.8%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
63.8%
(*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand))
40.6%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
40.6%
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
97.8%
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))))
97.8%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 3 binary64)) rand)))
39.5%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
59.5%
a
▶1.7%
#s(literal -1/3 binary64)
Compiler

Compiled 570 to 410 computations (28.1% saved)

simplify216.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(/.f64 rand #s(literal 3 binary64))
✓cost-diff0
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
✓cost-diff0
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
✓cost-diff0
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
✓cost-diff0
(+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
✓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 (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff0
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64)))
✓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 rand #s(literal 3 binary64))))
Rules
2334×fnmadd-define
2022×fma-define
1662×sum3-define
1658×fma-lowering-fma.f32
1658×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028142
167138
2129135
3245135
4426135
5654135
61082135
72130135
84679135
96442135
08058135
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (+ a -1/3) (* (sqrt (+ a -1/3)) (/ rand 3)))
(+ a -1/3)
a
-1/3
(* (sqrt (+ a -1/3)) (/ rand 3))
(sqrt (+ a -1/3))
(/ rand 3)
rand
3
-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
(/ 1 (/ (+ 1/9 (* a (+ a 1/3))) (+ (* a (* a a)) -1/27)))
1
(/ (+ 1/9 (* a (+ a 1/3))) (+ (* a (* a a)) -1/27))
(+ 1/9 (* a (+ a 1/3)))
1/9
(* a (+ a 1/3))
a
(+ a 1/3)
1/3
(+ (* a (* a a)) -1/27)
(* a (* a a))
(* a a)
-1/27
(+ (* (/ rand 3) (sqrt a)) a)
(* (/ rand 3) (sqrt a))
(/ rand 3)
rand
3
(sqrt a)
a
Outputs
(+ (+ a -1/3) (* (sqrt (+ a -1/3)) (/ rand 3)))
(+.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)) (/ rand 3))
(*.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)))
(/ rand 3)
(/.f64 rand #s(literal 3 binary64))
rand
3
#s(literal 3 binary64)
-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)
(/ 1 (/ (+ 1/9 (* a (+ a 1/3))) (+ (* a (* a a)) -1/27)))
(/.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)))))
1
#s(literal 1 binary64)
(/ (+ 1/9 (* a (+ a 1/3))) (+ (* a (* a a)) -1/27))
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #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
(+ a 1/3)
(+.f64 a #s(literal 1/3 binary64))
1/3
#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)
(*.f64 a a)
-1/27
#s(literal -1/27 binary64)
(+ (* (/ rand 3) (sqrt a)) a)
(-.f64 a (/.f64 (*.f64 rand (sqrt.f64 a)) #s(literal -3 binary64)))
(* (/ rand 3) (sqrt a))
(/.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))
(/ rand 3)
(/.f64 rand #s(literal 3 binary64))
rand
3
#s(literal 3 binary64)
(sqrt a)
(sqrt.f64 a)
a

localize227.0ms (2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 rand #s(literal 3 binary64))
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy100.0%
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
✓accuracy99.6%
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
✓accuracy100.0%
(+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
✓accuracy99.9%
(*.f64 a (*.f64 a a))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
✓accuracy34.0%
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))
✓accuracy100.0%
(*.f64 a a)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))
✓accuracy100.0%
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
✓accuracy55.8%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
✓accuracy100.0%
(+.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 rand #s(literal 3 binary64))))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.6%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64)))
Results
153.0ms256×0valid
Compiler

Compiled 158 to 29 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
...c/correct-round.rkt:119:19: 37.0ms (31% of total)
ival-mult: 31.0ms (26% of total)
ival-div: 26.0ms (21.8% of total)
ival-sub: 13.0ms (10.9% of total)
ival-add: 8.0ms (6.7% of total)
ival-sqrt: 4.0ms (3.4% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.2%)

Counts
17 → 252
Calls
Call 1
Inputs
#<alt (+ (+ a -1/3) (* (sqrt (+ a -1/3)) (/ rand 3)))>
#<alt (+ a -1/3)>
#<alt (* (sqrt (+ a -1/3)) (/ rand 3))>
#<alt (sqrt (+ a -1/3))>
#<alt (* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))>
#<alt (- 1/9 (* a a))>
#<alt (* a a)>
#<alt (/ 1 (- -1/3 a))>
#<alt (/ 1 (/ (+ 1/9 (* a (+ a 1/3))) (+ (* a (* a a)) -1/27)))>
#<alt (/ (+ 1/9 (* a (+ a 1/3))) (+ (* a (* a a)) -1/27))>
#<alt (+ 1/9 (* a (+ a 1/3)))>
#<alt (* a (+ a 1/3))>
#<alt (+ (* (/ rand 3) (sqrt a)) a)>
#<alt (* (/ rand 3) (sqrt a))>
#<alt (/ rand 3)>
#<alt (sqrt a)>
#<alt (* a (* a a))>
Outputs
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt -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 (* 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>
#<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>
#<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>
#<alt (- (* -9 a) 3)>
#<alt (- (* a (- (* -27 a) 9)) 3)>
#<alt (- (* a (- (* a (- (* -81 a) 27)) 9)) 3)>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* 1/3 (/ 1 a))) a)>
#<alt (/ (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))) a)>
#<alt (/ (+ 1 (+ (/ 1/9 (pow a 2)) (+ (* 1/3 (/ 1 a)) (* 1/27 (/ 1 (pow a 3)))))) a)>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* 1/3 (/ 1 a))) a)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 a))) a)) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow a 2)) (* 1/9 (/ 1 a)))) a)) 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 (* 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 a>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 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 (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 (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)>
Calls

63 calls:

TimeVariablePointExpression
9.0ms
a
@0
(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))
1.0ms
a
@-inf
(/ 1 (/ (+ 1/9 (* a (+ a 1/3))) (+ (* a (* a a)) -1/27)))
1.0ms
a
@0
(+ (+ a -1/3) (* (sqrt (+ a -1/3)) (/ rand 3)))
0.0ms
a
@inf
(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))
0.0ms
a
@0
(/ 1 (/ (+ 1/9 (* a (+ a 1/3))) (+ (* a (* a a)) -1/27)))

rewrite521.0ms (4.6%)

Algorithm
1×batch-egg-rewrite
Rules
3796×/-lowering-/.f32
3796×/-lowering-/.f64
3616×*-lowering-*.f32
3616×*-lowering-*.f64
1900×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028101
118697
2158896
0872196
Stop Event
1×iter limit
1×node limit
Counts
17 → 979
Calls
Call 1
Inputs
(+ (+ a -1/3) (* (sqrt (+ a -1/3)) (/ rand 3)))
(+ a -1/3)
(* (sqrt (+ a -1/3)) (/ rand 3))
(sqrt (+ a -1/3))
(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))
(- 1/9 (* a a))
(* a a)
(/ 1 (- -1/3 a))
(/ 1 (/ (+ 1/9 (* a (+ a 1/3))) (+ (* a (* a a)) -1/27)))
(/ (+ 1/9 (* a (+ a 1/3))) (+ (* a (* a a)) -1/27))
(+ 1/9 (* a (+ a 1/3)))
(* a (+ a 1/3))
(+ (* (/ rand 3) (sqrt a)) a)
(* (/ rand 3) (sqrt a))
(/ rand 3)
(sqrt a)
(* a (* a a))
Outputs
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64))))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64))) a)
(+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)) 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 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64))))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (+.f64 a (-.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64))))))
(fma.f64 (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 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 rand #s(literal 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 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #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 a #s(literal -1/3 binary64))))) (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 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 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)))
(fma.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 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 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3/2 binary64)) (/.f64 rand #s(literal 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 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a (-.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)))) (-.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 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3/2 binary64)) (/.f64 rand #s(literal 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 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 a (-.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)))) (-.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 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))))))))
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(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) a) (+.f64 a #s(literal -1/3 binary64)))
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(/.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a #s(literal 1/3 binary64)) (*.f64 a #s(literal 1/3 binary64))))) (neg.f64 (-.f64 (*.f64 a a) (*.f64 a #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 a (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 a (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)) a)) (neg.f64 (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) a)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(*.f64 (+.f64 a #s(literal 1/3 binary64)) a)
(+.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))
(+.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)
(-.f64 (/.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)) (/.f64 (*.f64 a a) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(fma.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)) a)
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a) a)
(fma.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)) a)
(fma.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (*.f64 a a) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 3/2 binary64))))) (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a) (-.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 a a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (*.f64 a a) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 3/2 binary64))))) (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a) (-.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 a a)))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64))) (+.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (*.f64 a a) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 3/2 binary64))))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64))) (+.f64 (*.f64 a a) (-.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 3/2 binary64))))))
(/.f64 (-.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 a a)) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a))
(/.f64 (neg.f64 (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (*.f64 a a) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 3/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (*.f64 a a) (-.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 3/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 a a))) (neg.f64 (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))))) (-.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))))
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)) (*.f64 (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a) (*.f64 a a))) (*.f64 (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (*.f64 a a) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 3/2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 a a)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))))) (neg.f64 (-.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))))
(pow.f64 (/.f64 (+.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (*.f64 a a) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 3/2 binary64))))) (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a) (-.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 a a))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (*.f64 a a) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 3/2 binary64)))))))
(*.f64 (-.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 rand (sqrt.f64 a))))
(/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) (*.f64 rand (sqrt.f64 a)))))
(/.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 rand (sqrt.f64 a))) #s(literal -3 binary64))
(/.f64 (*.f64 (sqrt.f64 a) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) rand))
(/.f64 (*.f64 (sqrt.f64 a) (-.f64 #s(literal 0 binary64) rand)) #s(literal -3 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 a)) (/.f64 #s(literal 3 binary64) rand))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 a)) #s(literal -3 binary64))
(/.f64 (neg.f64 (sqrt.f64 a)) (neg.f64 (/.f64 #s(literal 3 binary64) rand)))
(/.f64 (neg.f64 (neg.f64 (*.f64 rand (sqrt.f64 a)))) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 a) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 3 binary64) rand)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 a) (-.f64 #s(literal 0 binary64) rand))) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 a))) (neg.f64 (/.f64 #s(literal 3 binary64) rand)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 a))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (*.f64 rand (sqrt.f64 a))) #s(literal -1 binary64))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) rand)) #s(literal -1 binary64)))
(neg.f64 (/.f64 rand #s(literal -3 binary64)))
(/.f64 rand #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) rand))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) rand) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 3 binary64) rand))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) rand)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) rand) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal -3 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand)) #s(literal 3 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand))) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) rand) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) rand) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 rand #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) rand)
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal -1/3 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 1/2 binary64)))
(sqrt.f64 a)
(pow.f64 a #s(literal 1/2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 a #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 a)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal 3/2 binary64)))
(pow.f64 a #s(literal 3 binary64))
(pow.f64 (*.f64 a a) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 3 binary64))
(*.f64 a (*.f64 a a))
(*.f64 (*.f64 a a) a)
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))

simplify324.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
4608×+-lowering-+.f64
4608×+-lowering-+.f32
4142×*-lowering-*.f32
4142×*-lowering-*.f64
1098×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03372201
110701996
238101974
082221974
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* 1/3 (* rand (sqrt -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
(- 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
(- 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
(- (* -9 a) 3)
(- (* a (- (* -27 a) 9)) 3)
(- (* a (- (* a (- (* -81 a) 27)) 9)) 3)
(/ 1 a)
(/ (+ 1 (* 1/3 (/ 1 a))) a)
(/ (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))) a)
(/ (+ 1 (+ (/ 1/9 (pow a 2)) (+ (* 1/3 (/ 1 a)) (* 1/27 (/ 1 (pow a 3)))))) a)
(/ 1 a)
(/ (+ 1 (* 1/3 (/ 1 a))) a)
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 a))) a)) 1) a))
(* -1 (/ (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow a 2)) (* 1/9 (/ 1 a)))) a)) 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)))))
(* 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))))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(sqrt 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)))
(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)
Outputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #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 #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 rand a)) (sqrt.f64 #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 #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (+.f64 (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))) #s(literal 1 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 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.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 (/.f64 #s(literal 1 binary64) (*.f64 a a)) a))))) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.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 (/.f64 #s(literal 1 binary64) (*.f64 a a)) a))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))) (/.f64 #s(literal -1/3 binary64) a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(*.f64 (+.f64 (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64))) (-.f64 #s(literal 0 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 #s(literal 0 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1/18 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 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (/.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 #s(literal 1/18 binary64) (sqrt.f64 a)))) 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 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (+.f64 #s(literal -1/3 binary64) a) (*.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))
(* 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)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #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)))
(* 1/3 (* rand (sqrt -1/3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 rand a)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 rand a)) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (*.f64 rand a) (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) a)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (*.f64 rand (+.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 (/.f64 #s(literal 1 binary64) (*.f64 a a)) a))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 a (*.f64 rand (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) a))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 rand (-.f64 #s(literal 0 binary64) a)) (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) a)) #s(literal 1/18 binary64)))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (+.f64 (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) a)) #s(literal 1/18 binary64)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) a)) #s(literal 1/18 binary64))) (+.f64 (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/1296 binary64))))) (-.f64 #s(literal 0 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))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(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 a #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
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(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
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(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
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(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
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(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
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(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
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(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
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-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #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)))
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 #s(literal 0 binary64) (*.f64 a a))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(*.f64 a (*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(*.f64 a (*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(*.f64 a (*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(* -1 (pow a 2))
(-.f64 #s(literal 0 binary64) (*.f64 a a))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(*.f64 a (*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(*.f64 a (*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(*.f64 a (*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.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 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)) a)) (/.f64 #s(literal 1/27 binary64) (*.f64 a (*.f64 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)) (-.f64 #s(literal 0 binary64) 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 (/.f64 #s(literal 1/27 binary64) a) #s(literal -1/9 binary64)) a)) a)) (-.f64 #s(literal 0 binary64) a))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.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
#s(literal -3 binary64)
(- (* -9 a) 3)
(+.f64 (*.f64 a #s(literal -9 binary64)) #s(literal -3 binary64))
(- (* a (- (* -27 a) 9)) 3)
(+.f64 (*.f64 a (+.f64 (*.f64 a #s(literal -27 binary64)) #s(literal -9 binary64))) #s(literal -3 binary64))
(- (* a (- (* a (- (* -81 a) 27)) 9)) 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 (* 1/3 (/ 1 a))) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)
(/ (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))) a)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) a)))) a)
(/ (+ 1 (+ (/ 1/9 (pow a 2)) (+ (* 1/3 (/ 1 a)) (* 1/27 (/ 1 (pow a 3)))))) a)
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) a))) (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 1 binary64))) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* 1/3 (/ 1 a))) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 a))) a)) 1) a))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) a)) a)) a))
(* -1 (/ (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow a 2)) (* 1/9 (/ 1 a)))) a)) 1) a))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) a)))) a)) (-.f64 #s(literal 0 binary64) a))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 a))
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(+ 1/9 (* a (+ 1/3 a)))
(+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal 1/3 binary64) a)))
(+ 1/9 (* a (+ 1/3 a)))
(+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal 1/3 binary64) a)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) a))))))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) a))))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) a))))))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) a))))))
(* 1/3 a)
(*.f64 #s(literal 1/3 binary64) a)
(* a (+ 1/3 a))
(*.f64 a (+.f64 #s(literal 1/3 binary64) a))
(* a (+ 1/3 a))
(*.f64 a (+.f64 #s(literal 1/3 binary64) a))
(* a (+ 1/3 a))
(*.f64 a (+.f64 #s(literal 1/3 binary64) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 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 (* (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))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(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)
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))

eval186.0ms (1.6%)

Compiler

Compiled 40357 to 3717 computations (90.8% saved)

prune245.0ms (2.2%)

Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New1363121375
Fresh71017
Picked325
Done112
Total1374251399
Accuracy
100.0%
Counts
1399 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.0%
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
34.6%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
9.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
59.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
8.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
▶99.8%
(-.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) a) #s(literal 1/3 binary64))
99.5%
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
97.5%
(+.f64 (/.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 3 binary64)) a)
97.9%
(+.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)
✓97.9%
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
▶97.8%
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
98.6%
(+.f64 a (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))))
✓60.7%
(+.f64 #s(literal -1/3 binary64) a)
▶19.2%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
63.7%
(*.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
8.9%
(*.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)))
8.6%
(*.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)))
▶7.2%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
7.9%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
63.8%
(*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand))
40.6%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
97.8%
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))))
39.5%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
▶59.5%
a
✓1.7%
#s(literal -1/3 binary64)
Compiler

Compiled 556 to 408 computations (26.6% saved)

simplify201.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(/.f64 (sqrt.f64 a) #s(literal 3 binary64))
✓cost-diff0
(*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))
✓cost-diff0
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
✓cost-diff0
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
✓cost-diff0
(/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
✓cost-diff384
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
✓cost-diff0
(+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))
✓cost-diff0
(*.f64 a a)
✓cost-diff0
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
✓cost-diff0
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))
✓cost-diff0
(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) a)
✓cost-diff0
(-.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) a) #s(literal 1/3 binary64))
Rules
2086×fma-lowering-fma.f32
2086×fma-lowering-fma.f64
1800×*-lowering-*.f32
1800×*-lowering-*.f64
1386×fmsub-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
031168
174166
2161158
3490154
41574154
54802151
08073151
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (+ (/ (+ a -1/3) (* (pow (+ a -1/3) 1/2) (/ 3 rand))) a) 1/3)
(+ (/ (+ a -1/3) (* (pow (+ a -1/3) 1/2) (/ 3 rand))) a)
(/ (+ a -1/3) (* (pow (+ a -1/3) 1/2) (/ 3 rand)))
(+ a -1/3)
a
-1/3
(* (pow (+ a -1/3) 1/2) (/ 3 rand))
(pow (+ a -1/3) 1/2)
1/2
(/ 3 rand)
3
rand
1/3
a
(* (- 1/9 (* a a)) (+ (* a 9) -3))
(- 1/9 (* a a))
1/9
(* a a)
a
(+ (* a 9) -3)
(* a 9)
9
-3
(* (/ 1 (/ rand (- 1/9 (* a a)))) (/ rand (- -1/3 a)))
(/ 1 (/ rand (- 1/9 (* a a))))
1
(/ rand (- 1/9 (* a a)))
rand
(- 1/9 (* a a))
1/9
(* a a)
a
(/ rand (- -1/3 a))
(- -1/3 a)
-1/3
(+ (* rand (/ (sqrt a) 3)) a)
(* rand (/ (sqrt a) 3))
rand
(/ (sqrt a) 3)
(sqrt a)
a
3
Outputs
(- (+ (/ (+ a -1/3) (* (pow (+ a -1/3) 1/2) (/ 3 rand))) a) 1/3)
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(+ (/ (+ a -1/3) (* (pow (+ a -1/3) 1/2) (/ 3 rand))) a)
(+.f64 a (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(/ (+ a -1/3) (* (pow (+ a -1/3) 1/2) (/ 3 rand)))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
(* (pow (+ a -1/3) 1/2) (/ 3 rand))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
(pow (+ a -1/3) 1/2)
(pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ 3 rand)
(/.f64 #s(literal 3 binary64) rand)
3
#s(literal 3 binary64)
rand
1/3
#s(literal 1/3 binary64)
a
(* (- 1/9 (* a a)) (+ (* a 9) -3))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(- 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
(+ (* a 9) -3)
(+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))
(* a 9)
(*.f64 a #s(literal 9 binary64))
9
#s(literal 9 binary64)
-3
#s(literal -3 binary64)
(* (/ 1 (/ rand (- 1/9 (* a a)))) (/ rand (- -1/3 a)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(/ 1 (/ rand (- 1/9 (* a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand)
1
#s(literal 1 binary64)
(/ rand (- 1/9 (* a a)))
(/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))
rand
(- 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
(/ rand (- -1/3 a))
(/.f64 rand (-.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 (/ (sqrt a) 3)) a)
(+.f64 a (/.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 3 binary64)))
(* rand (/ (sqrt a) 3))
(/.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))
rand
(/ (sqrt a) 3)
(/.f64 (sqrt.f64 a) #s(literal 3 binary64))
(sqrt a)
(sqrt.f64 a)
a
3
#s(literal 3 binary64)

localize148.0ms (1.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy100.0%
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
✓accuracy99.6%
(*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64)))
✓accuracy99.6%
(/.f64 (sqrt.f64 a) #s(literal 3 binary64))
✓accuracy100.0%
(/.f64 rand (-.f64 #s(literal -1/3 binary64) a))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
✓accuracy86.4%
(/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))
✓accuracy54.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
✓accuracy100.0%
(*.f64 a #s(literal 9 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
✓accuracy100.0%
(+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))
✓accuracy99.8%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
✓accuracy100.0%
(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) a)
✓accuracy100.0%
(pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))
✓accuracy99.5%
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
✓accuracy89.7%
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))
Results
100.0ms250×0valid
3.0ms4×1valid
2.0ms2×2valid
Compiler

Compiled 181 to 32 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 12.0ms (20.9% of total)
ival-div: 11.0ms (19.1% of total)
...c/correct-round.rkt:119:19: 11.0ms (19.1% of total)
ival-pow: 9.0ms (15.7% of total)
ival-add: 6.0ms (10.4% of total)
ival-sub: 5.0ms (8.7% of total)
ival-sqrt: 3.0ms (5.2% of total)
const: 1.0ms (1.7% of total)
backward-pass: 1.0ms (1.7% of total)

series25.0ms (0.2%)

Counts
19 → 348
Calls
Call 1
Inputs
#<alt (- (+ (/ (+ a -1/3) (* (pow (+ a -1/3) 1/2) (/ 3 rand))) a) 1/3)>
#<alt (+ (/ (+ a -1/3) (* (pow (+ a -1/3) 1/2) (/ 3 rand))) a)>
#<alt (/ (+ a -1/3) (* (pow (+ a -1/3) 1/2) (/ 3 rand)))>
#<alt (+ a -1/3)>
#<alt (* (- 1/9 (* a a)) (+ (* a 9) -3))>
#<alt (- 1/9 (* a a))>
#<alt (* a a)>
#<alt (+ (* a 9) -3)>
#<alt (* (/ 1 (/ rand (- 1/9 (* a a)))) (/ rand (- -1/3 a)))>
#<alt (/ 1 (/ rand (- 1/9 (* a a))))>
#<alt (/ rand (- 1/9 (* a a)))>
#<alt (+ (* rand (/ (sqrt a) 3)) a)>
#<alt (* rand (/ (sqrt a) 3))>
#<alt (/ (sqrt a) 3)>
#<alt (sqrt a)>
#<alt (* (pow (+ a -1/3) 1/2) (/ 3 rand))>
#<alt (pow (+ a -1/3) 1/2)>
#<alt (* a 9)>
#<alt (/ rand (- -1/3 a))>
Outputs
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* 1/3 (* rand (sqrt -1/3)))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -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)))))))>
#<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)))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* a (+ 1 (+ (* -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 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)))) 1)))>
#<alt (* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand))))) 1)))>
#<alt a>
#<alt (+ a (* 1/3 (* rand (sqrt (- a 1/3)))))>
#<alt (+ a (* 1/3 (* rand (sqrt (- a 1/3)))))>
#<alt (+ a (* 1/3 (* rand (sqrt (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<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))>
#<alt (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))>
#<alt (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand))))))>
#<alt (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)))))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt -1/3>
#<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>
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#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- (* a (+ 1 (* 3 a))) 1/3)>
#<alt (- (* a (+ 1 (* a (+ 3 (* -9 a))))) 1/3)>
#<alt (* -9 (pow a 3))>
#<alt (* (pow a 3) (- (* 3 (/ 1 a)) 9))>
#<alt (* (pow a 3) (- (+ (* 3 (/ 1 a)) (/ 1 (pow a 2))) 9))>
#<alt (* (pow a 3) (- (+ (* 3 (/ 1 a)) (/ 1 (pow a 2))) (+ 9 (* 1/3 (/ 1 (pow a 3))))))>
#<alt (* -9 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 9 (* 3 (/ 1 a)))))>
#<alt (* -1 (* (pow a 3) (+ 9 (* -1 (/ (+ 3 (/ 1 a)) a)))))>
#<alt (* -1 (* (pow a 3) (+ 9 (* -1 (/ (+ 3 (* -1 (/ (- (* 1/3 (/ 1 a)) 1) a))) a)))))>
#<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 (- (* 9 a) 3)>
#<alt (- (* 9 a) 3)>
#<alt (* 9 a)>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* 9 a)>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
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#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
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#<alt -1/3>
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#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
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#<alt a>
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#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ 1/9 rand)>
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#<alt (+ (* -1 (/ (pow a 2) rand)) (* 1/9 (/ 1 rand)))>
#<alt (+ (* -1 (/ (pow a 2) rand)) (* 1/9 (/ 1 rand)))>
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#<alt (* (pow a 2) (- (* 1/9 (/ 1 (* (pow a 2) rand))) (/ 1 rand)))>
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#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (* 9 rand)>
#<alt (+ (* 9 rand) (* 81 (* (pow a 2) rand)))>
#<alt (+ (* 9 rand) (* (pow a 2) (- (* 729 (* (pow a 2) rand)) (* -81 rand))))>
#<alt (+ (* 9 rand) (* (pow a 2) (- (* (pow a 2) (- (* 6561 (* (pow a 2) rand)) (* -729 rand))) (* -81 rand))))>
#<alt (* -1 (/ rand (pow a 2)))>
#<alt (/ (+ (* -1 rand) (* -1/9 (/ rand (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ (* -1 rand) (* -1/81 (/ rand (pow a 4)))) (* 1/9 (/ rand (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ (* -1 rand) (* -1/729 (/ rand (pow a 6)))) (+ (* 1/81 (/ rand (pow a 4))) (* 1/9 (/ rand (pow a 2))))) (pow a 2))>
#<alt (* -1 (/ rand (pow a 2)))>
#<alt (/ (+ (* -1 rand) (* -1/9 (/ rand (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ (* -1 rand) (* -1/81 (/ rand (pow a 4)))) (* 1/9 (/ rand (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ (* -1 rand) (* -1/729 (/ rand (pow a 6)))) (+ (* 1/81 (/ rand (pow a 4))) (* 1/9 (/ rand (pow a 2))))) (pow a 2))>
#<alt a>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* 1/3 (sqrt a))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (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 (* 3 (/ (sqrt -1/3) rand))>
#<alt (+ (* 3/2 (/ a (* rand (sqrt -1/3)))) (* 3 (/ (sqrt -1/3) rand)))>
#<alt (+ (* 3 (/ (sqrt -1/3) rand)) (* a (+ (* -3/8 (/ a (* rand (pow (sqrt -1/3) 3)))) (* 3/2 (/ 1 (* rand (sqrt -1/3)))))))>
#<alt (+ (* 3 (/ (sqrt -1/3) rand)) (* a (+ (* a (- (* 3/16 (/ a (* rand (pow (sqrt -1/3) 5)))) (* 3/8 (/ 1 (* rand (pow (sqrt -1/3) 3)))))) (* 3/2 (/ 1 (* rand (sqrt -1/3)))))))>
#<alt (* 3 (* (sqrt a) (/ 1 rand)))>
#<alt (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) (/ 1 rand))) (* 3 (* (sqrt (/ 1 a)) (/ 1 rand)))))>
#<alt (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) (/ 1 rand))) (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (/ 1 rand))) (* 3 (* (sqrt (/ 1 a)) (/ 1 rand))))))>
#<alt (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) (/ 1 rand))) (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (/ 1 rand))) (+ (* -1/144 (* (sqrt (/ 1 (pow a 7))) (/ 1 rand))) (* 3 (* (sqrt (/ 1 a)) (/ 1 rand)))))))>
#<alt (* -3 (* (sqrt a) (/ (pow (sqrt -1) 2) rand)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (/ (pow (sqrt -1) 2) rand))) (* 3 (* (sqrt (/ 1 a)) (/ (pow (sqrt -1) 2) rand))))))>
#<alt (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (/ (pow (sqrt -1) 2) rand))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (/ (pow (sqrt -1) 2) rand))) (* 3 (* (sqrt (/ 1 a)) (/ (pow (sqrt -1) 2) rand)))))))>
#<alt (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (/ (pow (sqrt -1) 2) rand))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (/ (pow (sqrt -1) 2) rand))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (/ (pow (sqrt -1) 2) rand))) (* 3 (* (sqrt (/ 1 a)) (/ (pow (sqrt -1) 2) rand))))))))>
#<alt (* 3 (* (/ 1 rand) (sqrt (- a 1/3))))>
#<alt (* 3 (* (/ 1 rand) (sqrt (- a 1/3))))>
#<alt (* 3 (* (/ 1 rand) (sqrt (- a 1/3))))>
#<alt (* 3 (* (/ 1 rand) (sqrt (- a 1/3))))>
#<alt (* 3 (* (/ 1 rand) (sqrt (- a 1/3))))>
#<alt (* 3 (* (/ 1 rand) (sqrt (- a 1/3))))>
#<alt (* 3 (* (/ 1 rand) (sqrt (- a 1/3))))>
#<alt (* 3 (* (/ 1 rand) (sqrt (- a 1/3))))>
#<alt (* 3 (* (/ 1 rand) (sqrt (- a 1/3))))>
#<alt (* 3 (* (/ 1 rand) (sqrt (- a 1/3))))>
#<alt (* 3 (* (/ 1 rand) (sqrt (- a 1/3))))>
#<alt (* 3 (* (/ 1 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)))) (* (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 (* 9 a)>
#<alt (* 9 a)>
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#<alt (* 9 a)>
#<alt (* 9 a)>
#<alt (* 9 a)>
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#<alt (* 9 a)>
#<alt (* 9 a)>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -3 rand)>
#<alt (+ (* -3 rand) (* 9 (* a rand)))>
#<alt (+ (* -3 rand) (* a (+ (* -27 (* a rand)) (* 9 rand))))>
#<alt (+ (* -3 rand) (* a (+ (* 9 rand) (* a (+ (* -27 rand) (* 81 (* a rand)))))))>
#<alt (* -1 (/ rand a))>
#<alt (/ (+ (* -1 rand) (* 1/3 (/ rand a))) a)>
#<alt (/ (+ (* -1 rand) (+ (* -1/9 (/ rand (pow a 2))) (* 1/3 (/ rand a)))) a)>
#<alt (/ (+ (* -1 rand) (+ (* -1/9 (/ rand (pow a 2))) (+ (* 1/27 (/ rand (pow a 3))) (* 1/3 (/ rand a))))) a)>
#<alt (* -1 (/ rand a))>
#<alt (* -1 (/ (+ rand (* -1/3 (/ rand a))) a))>
#<alt (* -1 (/ (+ rand (* -1 (/ (- (* -1/9 (/ rand a)) (* -1/3 rand)) a))) a))>
#<alt (* -1 (/ (+ rand (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ rand a)) (* -1/9 rand)) a)) (* -1/3 rand)) a))) a))>
Calls

87 calls:

TimeVariablePointExpression
2.0ms
a
@0
(/ 1 (/ rand (- 1/9 (* a a))))
1.0ms
rand
@0
(* (/ 1 (/ rand (- 1/9 (* a a)))) (/ rand (- -1/3 a)))
1.0ms
a
@-inf
(* (pow (+ a -1/3) 1/2) (/ 3 rand))
1.0ms
rand
@inf
(/ rand (- -1/3 a))
1.0ms
a
@inf
(* (pow (+ a -1/3) 1/2) (/ 3 rand))

rewrite450.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
4744×*-lowering-*.f32
4744×*-lowering-*.f64
3936×/-lowering-/.f32
3936×/-lowering-/.f64
1778×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031135
1205131
21775126
08824126
Stop Event
1×iter limit
1×node limit
Counts
19 → 911
Calls
Call 1
Inputs
(- (+ (/ (+ a -1/3) (* (pow (+ a -1/3) 1/2) (/ 3 rand))) a) 1/3)
(+ (/ (+ a -1/3) (* (pow (+ a -1/3) 1/2) (/ 3 rand))) a)
(/ (+ a -1/3) (* (pow (+ a -1/3) 1/2) (/ 3 rand)))
(+ a -1/3)
(* (- 1/9 (* a a)) (+ (* a 9) -3))
(- 1/9 (* a a))
(* a a)
(+ (* a 9) -3)
(* (/ 1 (/ rand (- 1/9 (* a a)))) (/ rand (- -1/3 a)))
(/ 1 (/ rand (- 1/9 (* a a))))
(/ rand (- 1/9 (* a a)))
(+ (* rand (/ (sqrt a) 3)) a)
(* rand (/ (sqrt a) 3))
(/ (sqrt a) 3)
(sqrt a)
(* (pow (+ a -1/3) 1/2) (/ 3 rand))
(pow (+ a -1/3) 1/2)
(* a 9)
(/ rand (- -1/3 a))
Outputs
(+.f64 a (+.f64 (/.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)))) #s(literal -1/3 binary64)))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (/.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 a #s(literal -1/3 binary64)) (/.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 (+.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 a #s(literal -1/3 binary64)))
(+.f64 (+.f64 a (/.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))))) #s(literal -1/3 binary64))
(-.f64 (+.f64 a (/.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))))) #s(literal 1/3 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 a (/.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))))) #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/27 binary64) (+.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 a (/.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))))) #s(literal 1/3 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 2 binary64)) (+.f64 (/.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 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (+.f64 (/.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 a #s(literal 1/3 binary64)))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 rand #s(literal 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 #s(literal 1 binary64) (/.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 a #s(literal -1/3 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) rand))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 (pow.f64 (/.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)))) #s(literal 3 binary64)) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.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)))) #s(literal 2 binary64)) (*.f64 a (-.f64 a (/.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)))))))) #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 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/3 binary64)))) (/.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)))))
(fma.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (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 (pow.f64 (/.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)))) #s(literal 2 binary64)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (/.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)))) 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 (+.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)))))
(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 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 rand #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 a (/.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))))) #s(literal 1/3 binary64)))) (+.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 3 binary64)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.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 a #s(literal 1/3 binary64))) (+.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 2 binary64)) #s(literal -1/9 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 a (/.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))))) #s(literal 1/3 binary64)))) (+.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 3 binary64)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.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 a #s(literal 1/3 binary64))) (+.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 2 binary64)) #s(literal -1/9 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 a (/.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))))) #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 a (/.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))))) #s(literal -1/3 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 2 binary64)) #s(literal -1/9 binary64)) (+.f64 (/.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 a #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 a (/.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))))) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 a (/.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))))) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 a (/.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))))) #s(literal 2 binary64)) #s(literal -1/9 binary64))) (neg.f64 (+.f64 (/.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 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.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)))) #s(literal 3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (+.f64 (pow.f64 (/.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)))) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (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))))))
(/.f64 (-.f64 (pow.f64 (/.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)))) #s(literal 2 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (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))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.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 -1/3 binary64) a) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (/.f64 (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)))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (/.f64 (/.f64 (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)))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (/.f64 (/.f64 (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))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (/.f64 (/.f64 (/.f64 (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))) #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (/.f64 (/.f64 #s(literal 3 binary64) rand) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (neg.f64 (/.f64 (/.f64 (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))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (neg.f64 (/.f64 (/.f64 (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))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) rand))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 0 binary64) (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) rand))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.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 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/3 binary64))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 (/.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 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/3 binary64))))))
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(exp.f64 (*.f64 (log.f64 (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1/9 binary64) rand) (/.f64 (*.f64 a a) rand))
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(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand)
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(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal 0 binary64) rand))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 rand (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(/.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
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(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 rand (+.f64 #s(literal 1/81 binary64) (*.f64 (*.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))))) (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) rand)) #s(literal -1 binary64)))
(neg.f64 (/.f64 rand (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 rand (-.f64 #s(literal -1/3 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) rand))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) rand) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) rand))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) rand)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) rand) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) rand) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) rand)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) rand))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(pow.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) rand) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) rand) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 rand (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) rand)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (pow.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal -1 binary64)))
(*.f64 (/.f64 rand (-.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)))))

simplify265.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
4418×*-lowering-*.f32
4418×*-lowering-*.f64
2370×+-lowering-+.f64
2370×+-lowering-+.f32
1812×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05053481
116343255
256583228
082973228
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -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 (* 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)))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -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 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand))) 1)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)))) 1)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand))))) 1)))
a
(+ a (* 1/3 (* rand (sqrt (- a 1/3)))))
(+ a (* 1/3 (* rand (sqrt (- a 1/3)))))
(+ a (* 1/3 (* rand (sqrt (- a 1/3)))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))
(* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))
(* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (- a 1/3))))))
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(* 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))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand))))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
-1/3
(- a 1/3)
(- (* a (+ 1 (* 3 a))) 1/3)
(- (* a (+ 1 (* a (+ 3 (* -9 a))))) 1/3)
(* -9 (pow a 3))
(* (pow a 3) (- (* 3 (/ 1 a)) 9))
(* (pow a 3) (- (+ (* 3 (/ 1 a)) (/ 1 (pow a 2))) 9))
(* (pow a 3) (- (+ (* 3 (/ 1 a)) (/ 1 (pow a 2))) (+ 9 (* 1/3 (/ 1 (pow a 3))))))
(* -9 (pow a 3))
(* -1 (* (pow a 3) (- 9 (* 3 (/ 1 a)))))
(* -1 (* (pow a 3) (+ 9 (* -1 (/ (+ 3 (/ 1 a)) a)))))
(* -1 (* (pow a 3) (+ 9 (* -1 (/ (+ 3 (* -1 (/ (- (* 1/3 (/ 1 a)) 1) a))) a)))))
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)
(- (* 9 a) 3)
(- (* 9 a) 3)
(* 9 a)
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* 9 a)
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 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)))
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ 1/9 rand)
(+ (* -1 (/ (pow a 2) rand)) (* 1/9 (/ 1 rand)))
(+ (* -1 (/ (pow a 2) rand)) (* 1/9 (/ 1 rand)))
(+ (* -1 (/ (pow a 2) rand)) (* 1/9 (/ 1 rand)))
(* -1 (/ (pow a 2) rand))
(* (pow a 2) (- (* 1/9 (/ 1 (* (pow a 2) rand))) (/ 1 rand)))
(* (pow a 2) (- (* 1/9 (/ 1 (* (pow a 2) rand))) (/ 1 rand)))
(* (pow a 2) (- (* 1/9 (/ 1 (* (pow a 2) rand))) (/ 1 rand)))
(* -1 (/ (pow a 2) rand))
(* (pow a 2) (- (* 1/9 (/ 1 (* (pow a 2) rand))) (/ 1 rand)))
(* (pow a 2) (- (* 1/9 (/ 1 (* (pow a 2) rand))) (/ 1 rand)))
(* (pow a 2) (- (* 1/9 (/ 1 (* (pow a 2) rand))) (/ 1 rand)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(* 9 rand)
(+ (* 9 rand) (* 81 (* (pow a 2) rand)))
(+ (* 9 rand) (* (pow a 2) (- (* 729 (* (pow a 2) rand)) (* -81 rand))))
(+ (* 9 rand) (* (pow a 2) (- (* (pow a 2) (- (* 6561 (* (pow a 2) rand)) (* -729 rand))) (* -81 rand))))
(* -1 (/ rand (pow a 2)))
(/ (+ (* -1 rand) (* -1/9 (/ rand (pow a 2)))) (pow a 2))
(/ (- (+ (* -1 rand) (* -1/81 (/ rand (pow a 4)))) (* 1/9 (/ rand (pow a 2)))) (pow a 2))
(/ (- (+ (* -1 rand) (* -1/729 (/ rand (pow a 6)))) (+ (* 1/81 (/ rand (pow a 4))) (* 1/9 (/ rand (pow a 2))))) (pow a 2))
(* -1 (/ rand (pow a 2)))
(/ (+ (* -1 rand) (* -1/9 (/ rand (pow a 2)))) (pow a 2))
(/ (- (+ (* -1 rand) (* -1/81 (/ rand (pow a 4)))) (* 1/9 (/ rand (pow a 2)))) (pow a 2))
(/ (- (+ (* -1 rand) (* -1/729 (/ rand (pow a 6)))) (+ (* 1/81 (/ rand (pow a 4))) (* 1/9 (/ rand (pow a 2))))) (pow a 2))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(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)))
(* 3 (/ (sqrt -1/3) rand))
(+ (* 3/2 (/ a (* rand (sqrt -1/3)))) (* 3 (/ (sqrt -1/3) rand)))
(+ (* 3 (/ (sqrt -1/3) rand)) (* a (+ (* -3/8 (/ a (* rand (pow (sqrt -1/3) 3)))) (* 3/2 (/ 1 (* rand (sqrt -1/3)))))))
(+ (* 3 (/ (sqrt -1/3) rand)) (* a (+ (* a (- (* 3/16 (/ a (* rand (pow (sqrt -1/3) 5)))) (* 3/8 (/ 1 (* rand (pow (sqrt -1/3) 3)))))) (* 3/2 (/ 1 (* rand (sqrt -1/3)))))))
(* 3 (* (sqrt a) (/ 1 rand)))
(* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) (/ 1 rand))) (* 3 (* (sqrt (/ 1 a)) (/ 1 rand)))))
(* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) (/ 1 rand))) (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (/ 1 rand))) (* 3 (* (sqrt (/ 1 a)) (/ 1 rand))))))
(* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) (/ 1 rand))) (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (/ 1 rand))) (+ (* -1/144 (* (sqrt (/ 1 (pow a 7))) (/ 1 rand))) (* 3 (* (sqrt (/ 1 a)) (/ 1 rand)))))))
(* -3 (* (sqrt a) (/ (pow (sqrt -1) 2) rand)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (/ (pow (sqrt -1) 2) rand))) (* 3 (* (sqrt (/ 1 a)) (/ (pow (sqrt -1) 2) rand))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (/ (pow (sqrt -1) 2) rand))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (/ (pow (sqrt -1) 2) rand))) (* 3 (* (sqrt (/ 1 a)) (/ (pow (sqrt -1) 2) rand)))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (/ (pow (sqrt -1) 2) rand))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (/ (pow (sqrt -1) 2) rand))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (/ (pow (sqrt -1) 2) rand))) (* 3 (* (sqrt (/ 1 a)) (/ (pow (sqrt -1) 2) rand))))))))
(* 3 (* (/ 1 rand) (sqrt (- a 1/3))))
(* 3 (* (/ 1 rand) (sqrt (- a 1/3))))
(* 3 (* (/ 1 rand) (sqrt (- a 1/3))))
(* 3 (* (/ 1 rand) (sqrt (- a 1/3))))
(* 3 (* (/ 1 rand) (sqrt (- a 1/3))))
(* 3 (* (/ 1 rand) (sqrt (- a 1/3))))
(* 3 (* (/ 1 rand) (sqrt (- a 1/3))))
(* 3 (* (/ 1 rand) (sqrt (- a 1/3))))
(* 3 (* (/ 1 rand) (sqrt (- a 1/3))))
(* 3 (* (/ 1 rand) (sqrt (- a 1/3))))
(* 3 (* (/ 1 rand) (sqrt (- a 1/3))))
(* 3 (* (/ 1 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)))) (* (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)))))))
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -3 rand)
(+ (* -3 rand) (* 9 (* a rand)))
(+ (* -3 rand) (* a (+ (* -27 (* a rand)) (* 9 rand))))
(+ (* -3 rand) (* a (+ (* 9 rand) (* a (+ (* -27 rand) (* 81 (* a rand)))))))
(* -1 (/ rand a))
(/ (+ (* -1 rand) (* 1/3 (/ rand a))) a)
(/ (+ (* -1 rand) (+ (* -1/9 (/ rand (pow a 2))) (* 1/3 (/ rand a)))) a)
(/ (+ (* -1 rand) (+ (* -1/9 (/ rand (pow a 2))) (+ (* 1/27 (/ rand (pow a 3))) (* 1/3 (/ rand a))))) a)
(* -1 (/ rand a))
(* -1 (/ (+ rand (* -1/3 (/ rand a))) a))
(* -1 (/ (+ rand (* -1 (/ (- (* -1/9 (/ rand a)) (* -1/3 rand)) a))) a))
(* -1 (/ (+ rand (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ rand a)) (* -1/9 rand)) a)) (* -1/3 rand)) a))) a))
Outputs
(- (* 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 #s(literal -1/3 binary64) (+.f64 (*.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #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 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 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 (+ (* 1/6 (/ 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 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))))))) (+.f64 #s(literal -1/3 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 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.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 -1/3 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (*.f64 rand (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64))))))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/18 binary64)))) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)))) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 rand (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/216 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)))
(* 1/3 (* rand (sqrt -1/3)))
(*.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))))))
(+.f64 (*.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #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)))))))
(+.f64 (*.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 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)))))))))
(+.f64 (*.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))))))))
(* 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 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.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)))))))))
(* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (*.f64 rand (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))))))))
(* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 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 -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))))))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64))))))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand))) 1)))
(*.f64 (+.f64 #s(literal -1 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 -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal 1/216 binary64))))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand))))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (*.f64 rand (+.f64 (*.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/216 binary64)))))) (-.f64 #s(literal 0 binary64) a))
a
(+ a (* 1/3 (* rand (sqrt (- a 1/3)))))
(+.f64 a (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ a (* 1/3 (* rand (sqrt (- a 1/3)))))
(+.f64 a (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ a (* 1/3 (* rand (sqrt (- a 1/3)))))
(+.f64 a (*.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))
(* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 a rand)))
(* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 a rand)))
(* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 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 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 a rand)))
(* -1 (* rand (+ (* -1 (/ a 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 a rand)))
(* -1 (* rand (+ (* -1 (/ a 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 a rand)))
(* 1/3 (* rand (sqrt -1/3)))
(*.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+.f64 (*.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 rand a)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+.f64 (*.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(+.f64 (*.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))))))
(* 1/3 (* (sqrt a) rand))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (*.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))))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (*.f64 rand (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 a (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 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 -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
(* 1/3 (* (sqrt a) rand))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))
(*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
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#s(literal -1/3 binary64)
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a
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a
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#s(literal -1/3 binary64)
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#s(literal 1/9 binary64)
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(* -1 (pow a 2))
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#s(literal -3 binary64)
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(- (* 9 a) 3)
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(* 9 a)
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(* 9 a)
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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 (* a (- (* 1/3 (/ 1 a)) 1)))
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(/ 1/9 rand)
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(* 9 rand)
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(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(* -3 rand)
(*.f64 rand #s(literal -3 binary64))
(+ (* -3 rand) (* 9 (* a rand)))
(*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
(+ (* -3 rand) (* a (+ (* -27 (* a rand)) (* 9 rand))))
(+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(+ (* -3 rand) (* a (+ (* 9 rand) (* a (+ (* -27 rand) (* 81 (* a rand)))))))
(+.f64 (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))
(* -1 (/ rand a))
(-.f64 #s(literal 0 binary64) (/.f64 rand a))
(/ (+ (* -1 rand) (* 1/3 (/ rand a))) a)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) a) rand) a)
(/ (+ (* -1 rand) (+ (* -1/9 (/ rand (pow a 2))) (* 1/3 (/ rand a)))) a)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 rand #s(literal -1/9 binary64)) a) (*.f64 #s(literal 1/3 binary64) rand)) a) rand) a)
(/ (+ (* -1 rand) (+ (* -1/9 (/ rand (pow a 2))) (+ (* 1/27 (/ rand (pow a 3))) (* 1/3 (/ rand a))))) a)
(/.f64 (+.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 rand #s(literal -1/9 binary64)) a) (*.f64 #s(literal 1/3 binary64) rand)) a) rand) (*.f64 #s(literal 1/27 binary64) (/.f64 rand (*.f64 a (*.f64 a a))))) a)
(* -1 (/ rand a))
(-.f64 #s(literal 0 binary64) (/.f64 rand a))
(* -1 (/ (+ rand (* -1/3 (/ rand a))) a))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) a) rand) a)
(* -1 (/ (+ rand (* -1 (/ (- (* -1/9 (/ rand a)) (* -1/3 rand)) a))) a))
(/.f64 (-.f64 rand (/.f64 (+.f64 (/.f64 (*.f64 rand #s(literal -1/9 binary64)) a) (*.f64 #s(literal 1/3 binary64) rand)) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (+ rand (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ rand a)) (* -1/9 rand)) a)) (* -1/3 rand)) a))) a))
(/.f64 (+.f64 rand (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 (/.f64 rand a) #s(literal -1/27 binary64)) (*.f64 rand #s(literal 1/9 binary64))) a) (*.f64 rand #s(literal -1/3 binary64))) a)) (-.f64 #s(literal 0 binary64) a))

eval196.0ms (1.7%)

Compiler

Compiled 40822 to 4164 computations (89.8% saved)

prune173.0ms (1.5%)

Pruning

41 alts after pruning (36 fresh and 5 done)

PrunedKeptTotal
New1340191359
Fresh01717
Picked325
Done033
Total1343411384
Accuracy
100.0%
Counts
1384 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.2%
(/.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
0.6%
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
64.0%
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
34.6%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
9.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
59.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
8.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
99.8%
(-.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))) a) #s(literal 1/3 binary64))
99.5%
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
97.5%
(+.f64 (/.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 3 binary64)) a)
97.9%
(+.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)
✓97.9%
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
✓97.8%
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
98.6%
(+.f64 a (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))))
7.2%
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 3 binary64) (*.f64 a #s(literal -9 binary64)))))))
7.9%
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))))
✓60.7%
(+.f64 #s(literal -1/3 binary64) a)
16.5%
(*.f64 (/.f64 (/.f64 rand (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64)))
3.4%
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
10.4%
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
9.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))))
8.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
9.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
7.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
63.7%
(*.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
29.6%
(*.f64 (/.f64 #s(literal 1 binary64) rand) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))))
7.2%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
1.3%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64)))))
8.9%
(*.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)))
8.6%
(*.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)))
7.2%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal 9 binary64)))
7.9%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
63.8%
(*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand))
7.2%
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 3 binary64) a)))
40.6%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
39.8%
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
97.8%
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))))
7.2%
(*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64))))
39.5%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
✓59.5%
a
✓1.7%
#s(literal -1/3 binary64)
Compiler

Compiled 1412 to 644 computations (54.4% saved)

regimes78.0ms (0.7%)

Counts
63 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal 9 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 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 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 3 binary64) (*.f64 a #s(literal -9 binary64)))))))
(/.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.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 #s(literal 1 binary64) rand) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (*.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 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 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 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(*.f64 (/.f64 (/.f64 rand (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(+.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)
(+.f64 (/.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 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
(+.f64 a (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 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 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(+.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))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(*.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)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))
(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 a)) rand)) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) rand)))
(-.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))) a) #s(literal 1/3 binary64))
(-.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) a) #s(literal 1/3 binary64))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Outputs
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))))
Calls

4 calls:

21.0ms
rand
17.0ms
a
17.0ms
(*.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)

regimes34.0ms (0.3%)

Counts
53 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal 9 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 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 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 3 binary64) (*.f64 a #s(literal -9 binary64)))))))
(/.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.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 #s(literal 1 binary64) rand) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (*.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 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 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 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(*.f64 (/.f64 (/.f64 rand (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(+.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)
(+.f64 (/.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 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
(+.f64 a (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 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 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(+.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))
Outputs
(+.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))
Calls

2 calls:

15.0ms
rand
14.0ms
a
Results
AccuracySegmentsBranch
99.8%1a
99.8%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes41.0ms (0.4%)

Counts
52 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal 9 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 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 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 3 binary64) (*.f64 a #s(literal -9 binary64)))))))
(/.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.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 #s(literal 1 binary64) rand) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (*.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 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 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 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(*.f64 (/.f64 (/.f64 rand (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(+.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)
(+.f64 (/.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 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
(+.f64 a (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 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 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
Outputs
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
Calls

2 calls:

20.0ms
a
16.0ms
rand
Results
AccuracySegmentsBranch
99.1%1a
99.1%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes37.0ms (0.3%)

Counts
50 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal 9 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 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 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 3 binary64) (*.f64 a #s(literal -9 binary64)))))))
(/.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.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 #s(literal 1 binary64) rand) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (*.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 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 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 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(*.f64 (/.f64 (/.f64 rand (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(+.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)
(+.f64 (/.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 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
(+.f64 a (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 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 a (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))))
Calls

2 calls:

19.0ms
a
13.0ms
rand
Results
AccuracySegmentsBranch
98.6%1a
98.6%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes35.0ms (0.3%)

Counts
47 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal 9 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 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 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 3 binary64) (*.f64 a #s(literal -9 binary64)))))))
(/.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.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 #s(literal 1 binary64) rand) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (*.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 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 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 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(*.f64 (/.f64 (/.f64 rand (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(+.f64 (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)) a)
(+.f64 (/.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 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
Outputs
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
Calls

2 calls:

16.0ms
rand
16.0ms
a
Results
AccuracySegmentsBranch
97.9%1a
97.9%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes35.0ms (0.3%)

Counts
42 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal 9 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 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 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 3 binary64) (*.f64 a #s(literal -9 binary64)))))))
(/.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.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 #s(literal 1 binary64) rand) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (*.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 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 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 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(*.f64 (/.f64 (/.f64 rand (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
Outputs
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
Calls

2 calls:

16.0ms
rand
11.0ms
a
Results
AccuracySegmentsBranch
97.8%1a
97.8%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes30.0ms (0.3%)

Counts
41 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal 9 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 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 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 3 binary64) (*.f64 a #s(literal -9 binary64)))))))
(/.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.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 #s(literal 1 binary64) rand) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (*.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 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 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 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(*.f64 (/.f64 (/.f64 rand (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
Outputs
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
Calls

2 calls:

14.0ms
a
11.0ms
rand
Results
AccuracySegmentsBranch
68.5%3a
96.9%3rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes20.0ms (0.2%)

Counts
40 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal 9 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 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 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 3 binary64) (*.f64 a #s(literal -9 binary64)))))))
(/.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.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 #s(literal 1 binary64) rand) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (*.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 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 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 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(*.f64 (/.f64 (/.f64 rand (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
Outputs
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
Calls

1 calls:

11.0ms
rand
Results
AccuracySegmentsBranch
96.9%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
39 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal 9 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 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 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 3 binary64) (*.f64 a #s(literal -9 binary64)))))))
(/.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.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 #s(literal 1 binary64) rand) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (*.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 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 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 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(*.f64 (/.f64 (/.f64 rand (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
Outputs
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
Calls

1 calls:

11.0ms
rand
Results
AccuracySegmentsBranch
96.1%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts
38 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal 9 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 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 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 3 binary64) (*.f64 a #s(literal -9 binary64)))))))
(/.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.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 #s(literal 1 binary64) rand) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (*.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 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 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 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(*.f64 (/.f64 (/.f64 rand (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
Outputs
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
Calls

1 calls:

14.0ms
rand
Results
AccuracySegmentsBranch
95.8%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes24.0ms (0.2%)

Counts
37 → 2
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal 9 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 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 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 3 binary64) (*.f64 a #s(literal -9 binary64)))))))
(/.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.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 #s(literal 1 binary64) rand) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (*.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 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 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 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(*.f64 (/.f64 (/.f64 rand (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
Calls

1 calls:

10.0ms
rand
Results
AccuracySegmentsBranch
72.9%2rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
25 → 2
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal 9 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 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 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 3 binary64) (*.f64 a #s(literal -9 binary64)))))))
(/.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.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 #s(literal 1 binary64) rand) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
Outputs
(*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
Calls

1 calls:

7.0ms
rand
Results
AccuracySegmentsBranch
70.7%2rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts
7 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
Outputs
(*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64))))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
Calls

1 calls:

3.0ms
rand
Results
AccuracySegmentsBranch
70.2%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64))))
Outputs
(*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64))))
(+.f64 #s(literal -1/3 binary64) a)
Calls

1 calls:

2.0ms
rand
Results
AccuracySegmentsBranch
67.4%2rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
Outputs
(+.f64 #s(literal -1/3 binary64) a)
Calls

2 calls:

2.0ms
a
2.0ms
rand
Results
AccuracySegmentsBranch
60.7%1a
60.7%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
Outputs
a
Calls

2 calls:

2.0ms
rand
2.0ms
a
Results
AccuracySegmentsBranch
59.5%1a
59.5%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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
1.7%1a
1.7%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch40.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.571536500294181e+66
9.266876600785724e+67
22.0ms
-2.3568134659682684e+88
-2.3688203860882236e+66
Results
26.0ms288×0valid
Compiler

Compiled 333 to 269 computations (19.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (37% of total)
ival-div: 4.0ms (24.7% of total)
ival-sqrt: 2.0ms (12.3% of total)
ival-sub: 1.0ms (6.2% of total)
ival-add: 1.0ms (6.2% of total)
const: 1.0ms (6.2% of total)
backward-pass: 0.0ms (0% of total)

bsearch46.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.571536500294181e+66
9.266876600785724e+67
27.0ms
-2.3568134659682684e+88
-2.3688203860882236e+66
Results
32.0ms288×0valid
Compiler

Compiled 333 to 269 computations (19.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 10.0ms (42.4% of total)
ival-mult: 6.0ms (25.4% of total)
ival-sqrt: 4.0ms (17% of total)
ival-sub: 2.0ms (8.5% of total)
ival-add: 1.0ms (4.2% of total)
const: 1.0ms (4.2% of total)
backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.571536500294181e+66
9.266876600785724e+67
22.0ms
-2.3568134659682684e+88
-2.3688203860882236e+66
Results
25.0ms288×0valid
Compiler

Compiled 297 to 233 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (36.8% of total)
ival-div: 4.0ms (24.5% of total)
ival-sub: 2.0ms (12.3% of total)
ival-sqrt: 2.0ms (12.3% of total)
ival-add: 1.0ms (6.1% of total)
const: 1.0ms (6.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.571536500294181e+66
9.266876600785724e+67
23.0ms
-2.3568134659682684e+88
-2.3688203860882236e+66
Results
27.0ms288×0valid
Compiler

Compiled 297 to 233 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 8.0ms (42.6% of total)
ival-div: 4.0ms (21.3% of total)
ival-sqrt: 2.0ms (10.7% of total)
ival-sub: 1.0ms (5.3% of total)
ival-add: 1.0ms (5.3% of total)
const: 1.0ms (5.3% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
-1.3786662836360267e+94
-3.99406745354125e+91
Results
12.0ms128×0valid
Compiler

Compiled 267 to 193 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (41% of total)
ival-div: 2.0ms (27.3% of total)
ival-sub: 1.0ms (13.7% of total)
ival-add: 1.0ms (13.7% of total)
ival-sqrt: 1.0ms (13.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
-1.3786662836360267e+94
-3.99406745354125e+91
Results
12.0ms128×0valid
Compiler

Compiled 187 to 129 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (34.8% of total)
ival-div: 2.0ms (23.2% of total)
ival-add: 2.0ms (23.2% of total)
ival-sub: 1.0ms (11.6% of total)
ival-sqrt: 1.0ms (11.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
1.9064700192233485e+105
1.2803914796993724e+126
15.0ms
-1.3786662836360267e+94
-3.99406745354125e+91
Results
26.0ms304×0valid
Compiler

Compiled 331 to 256 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (35% of total)
ival-div: 5.0ms (29.2% of total)
ival-sub: 2.0ms (11.7% of total)
ival-add: 2.0ms (11.7% of total)
ival-sqrt: 2.0ms (11.7% of total)
const: 1.0ms (5.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
-1.3786662836360267e+94
-3.99406745354125e+91
Results
11.0ms128×0valid
Compiler

Compiled 155 to 113 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (41.4% of total)
ival-div: 2.0ms (27.6% of total)
ival-sub: 1.0ms (13.8% of total)
ival-add: 1.0ms (13.8% of total)
ival-sqrt: 1.0ms (13.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
44×*-commutative_binary64
22×+-commutative_binary64
6×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088240
1135240
2142240
3146240
4148240
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))))
(+.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))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
(+.f64 a (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(if (<=.f64 rand #s(literal -889999999999999980819874019514237463754245016335951242177091384859816466841600 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 12000000000000000092156844732391635628802393190991881159827561381888 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))))
(if (<=.f64 rand #s(literal -8599999999999999620531391066399784002263756148277952426444629234009590969925632 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))) (if (<=.f64 rand #s(literal 8199999999999999888373114960669082384948087332005840710986759143424 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))))
(if (<=.f64 rand #s(literal -35000000000000000040166663097701160078496512586370605152772489589351038058496 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 76000000000000004075674595434451064877086117179720808976816044769280 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -51999999999999998590475687565507757335400905702116233920962104502768092839936 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 33000000000000002872442257111055027400209801502806844412956910813184 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -339999999999999980010654200175664637847404227877287010028207688682110504545216375346111184896 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
(if (<=.f64 rand #s(literal -749999999999999945688905802977242987289481237198023593891341842771664580074072827271145586688 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
(if (<=.f64 rand #s(literal -13600000000000000126762881905556148902464049184594743227288184872408932497469327077149484515328 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64)))) (if (<=.f64 rand #s(literal 1249999999999999943661383348122434199412528135922940514809953247814735681286396827769298769037257162608596547173368663864508416 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))))
(if (<=.f64 rand #s(literal -13600000000000000126762881905556148902464049184594743227288184872408932497469327077149484515328 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64)))) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 #s(literal -1/3 binary64) a)
a
#s(literal -1/3 binary64)
Outputs
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))))
(+.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 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
(+.f64 a (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))))
(+.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(+.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)))
(+.f64 (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))) a)
(+.f64 a (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))))
(if (<=.f64 rand #s(literal -889999999999999980819874019514237463754245016335951242177091384859816466841600 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 12000000000000000092156844732391635628802393190991881159827561381888 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))))
(if (<=.f64 rand #s(literal -889999999999999980819874019514237463754245016335951242177091384859816466841600 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (if (<=.f64 rand #s(literal 12000000000000000092156844732391635628802393190991881159827561381888 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 -8599999999999999620531391066399784002263756148277952426444629234009590969925632 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))) (if (<=.f64 rand #s(literal 8199999999999999888373114960669082384948087332005840710986759143424 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))))
(if (<=.f64 rand #s(literal -8599999999999999620531391066399784002263756148277952426444629234009590969925632 binary64)) (*.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64))) (if (<=.f64 rand #s(literal 8199999999999999888373114960669082384948087332005840710986759143424 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 -35000000000000000040166663097701160078496512586370605152772489589351038058496 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 76000000000000004075674595434451064877086117179720808976816044769280 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -35000000000000000040166663097701160078496512586370605152772489589351038058496 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 76000000000000004075674595434451064877086117179720808976816044769280 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -51999999999999998590475687565507757335400905702116233920962104502768092839936 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 33000000000000002872442257111055027400209801502806844412956910813184 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -51999999999999998590475687565507757335400905702116233920962104502768092839936 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 33000000000000002872442257111055027400209801502806844412956910813184 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -339999999999999980010654200175664637847404227877287010028207688682110504545216375346111184896 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
(if (<=.f64 rand #s(literal -339999999999999980010654200175664637847404227877287010028207688682110504545216375346111184896 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) rand))
(if (<=.f64 rand #s(literal -749999999999999945688905802977242987289481237198023593891341842771664580074072827271145586688 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
(if (<=.f64 rand #s(literal -749999999999999945688905802977242987289481237198023593891341842771664580074072827271145586688 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64)))) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) rand))
(if (<=.f64 rand #s(literal -13600000000000000126762881905556148902464049184594743227288184872408932497469327077149484515328 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64)))) (if (<=.f64 rand #s(literal 1249999999999999943661383348122434199412528135922940514809953247814735681286396827769298769037257162608596547173368663864508416 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))))
(if (<=.f64 rand #s(literal -13600000000000000126762881905556148902464049184594743227288184872408932497469327077149484515328 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64)))) (if (<=.f64 rand #s(literal 1249999999999999943661383348122434199412528135922940514809953247814735681286396827769298769037257162608596547173368663864508416 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))))
(if (<=.f64 rand #s(literal -13600000000000000126762881905556148902464049184594743227288184872408932497469327077149484515328 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64)))) (+.f64 #s(literal -1/3 binary64) a))
(if (<=.f64 rand #s(literal -13600000000000000126762881905556148902464049184594743227288184872408932497469327077149484515328 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 #s(literal -1/3 binary64) a)
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)

soundness2.9s (25.2%)

Rules
4794×*-lowering-*.f32
4794×*-lowering-*.f64
4608×+-lowering-+.f64
4608×+-lowering-+.f32
4588×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028101
118697
2158896
0872196
03564011
111863438
244213380
081403380
05053481
116343255
256583228
082973228
05845200
120054380
080854380
03372201
110701996
238101974
082221974
030157
1190145
22001140
08553140
01414
13313
28512
322812
455312
599912
6161312
7281812
8739612
9783512
10799212
0811912
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1239 to 788 computations (36.4% saved)

preprocess85.0ms (0.8%)

Compiler

Compiled 552 to 198 computations (64.1% saved)

end0.0ms (0%)

Profiling

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