Octave 3.8, oct_fill_randg

Time bar (total: 12.2s)

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: 10.0ms
ival-mult: 5.0ms (49.6% of total)
ival-div: 2.0ms (19.8% of total)
ival-sub: 1.0ms (9.9% of total)
ival-add: 1.0ms (9.9% of total)
ival-sqrt: 1.0ms (9.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.5s (12.2%)

Results
1.1s8256×0valid
68.0ms448×0invalid
Precisions
Click to see histograms. Total time spent on operations: 760.0ms
ival-mult: 305.0ms (40.1% of total)
ival-div: 186.0ms (24.5% of total)
ival-sqrt: 107.0ms (14.1% of total)
ival-add: 87.0ms (11.4% of total)
ival-sub: 54.0ms (7.1% of total)
const: 18.0ms (2.4% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess225.0ms (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))

explain192.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
00-0-(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
00-0-(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
00-0-(/.f64 #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
106.0ms498×0valid
14.0ms8×2valid
2.0ms6×1valid
Compiler

Compiled 196 to 41 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 11.0ms (35.2% of total)
ival-div: 8.0ms (25.6% of total)
ival-sqrt: 4.0ms (12.8% of total)
ival-sub: 3.0ms (9.6% of total)
ival-add: 3.0ms (9.6% of total)
const: 1.0ms (3.2% of total)
backward-pass: 1.0ms (3.2% 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
▶99.1%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
▶99.2%
(*.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)

simplify134.0ms (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

localize168.0ms (1.4%)

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)))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
✓accuracy98.7%
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
✓accuracy100.0%
(*.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))))))
✓accuracy99.6%
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))
✓accuracy98.7%
(sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))
Results
133.0ms249×0valid
3.0ms4×2valid
2.0ms3×1valid
Compiler

Compiled 138 to 21 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 36.0ms (48.6% of total)
ival-add: 21.0ms (28.3% of total)
ival-div: 6.0ms (8.1% of total)
...c/correct-round.rkt:119:19: 4.0ms (5.4% of total)
ival-sqrt: 4.0ms (5.4% of total)
const: 1.0ms (1.3% of total)
backward-pass: 1.0ms (1.3% of total)
ival-sub: 1.0ms (1.3% of total)

series19.0ms (0.2%)

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

54 calls:

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

rewrite348.0ms (2.9%)

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
286279
0906579
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)
(sqrt (* 9 (- a (/ 1 3))))
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
Outputs
(+.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))))))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (+.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 1/3 binary64) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))))))
(+.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) a)) (+.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) #s(literal -1/3 binary64))) (+.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) a)) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a))
(+.f64 (/.f64 a (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))) (+.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 (/.f64 a (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))) (+.f64 a #s(literal -1/3 binary64))))
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(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64)) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 9 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal -1/3 binary64) a))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal -1/3 binary64) a))
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) a) (*.f64 #s(literal 9 binary64) a)) (*.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 a #s(literal 9 binary64)) (*.f64 a #s(literal 9 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)) #s(literal -27 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 9 binary64) a) (*.f64 #s(literal 9 binary64) a)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal -27 binary64)) (+.f64 (*.f64 (*.f64 a #s(literal 9 binary64)) (*.f64 a #s(literal 9 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 9 binary64) a) (*.f64 #s(literal 9 binary64) a))) (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a #s(literal 9 binary64)) (*.f64 a #s(literal 9 binary64)))) (-.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) a) (*.f64 #s(literal 9 binary64) a)) #s(literal 9 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 a #s(literal 9 binary64)) (*.f64 a #s(literal 9 binary64))) #s(literal 9 binary64)) (-.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 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 1/2 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))
(*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 #s(literal 9 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal 9 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))
(*.f64 #s(literal 3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))
(*.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))))
(*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) #s(literal 9 binary64)))
(*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 9 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)) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))
(*.f64 (*.f64 #s(literal 9 binary64) (+.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 (*.f64 (*.f64 a a) #s(literal 9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -3 binary64))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 9 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 9 binary64))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (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 (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) #s(literal -3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 3 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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))
(neg.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 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 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 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 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 (*.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 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 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) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 #s(literal 3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (+.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) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -3 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 3 binary64))
(exp.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)))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 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 (neg.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -3 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 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (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)))

simplify304.0ms (2.5%)

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
244243380
081433380
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)))
(* 3 (sqrt -1/3))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(* 3 (sqrt a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
(* 1/3 (sqrt -3))
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))
(* 1/3 (sqrt (/ 1 a)))
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
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))))))))))
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(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
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a
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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1
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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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(- a 1/3)
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(+ 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))))))
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(+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))
(+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))))
(+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/18 binary64))))
(+ 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))))))
(+.f64 (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 rand (+.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)))))
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 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))))
(* 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 (*.f64 #s(literal -27/8 binary64) rand) a) (sqrt.f64 #s(literal -3 binary64))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(+.f64 (*.f64 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 a (+.f64 (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 rand #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 (*.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))) (*.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))))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(+.f64 (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/18 binary64))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(-.f64 (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 rand (+.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))))
(* 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 #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))))))
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(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(*.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 #s(literal 0 binary64) (*.f64 a (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.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)))
(* 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 #s(literal 0 binary64) (*.f64 a (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.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)))))))
(* 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 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.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 -1/18 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))))

eval181.0ms (1.5%)

Compiler

Compiled 28923 to 2720 computations (90.6% saved)

prune124.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New101881026
Fresh000
Picked202
Done000
Total102081028
Accuracy
100.0%
Counts
1028 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 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))
▶65.9%
(+.f64 #s(literal -1/3 binary64) a)
▶99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))))
98.4%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
34.6%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
80.4%
(*.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)))
▶98.5%
(*.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 214 to 150 computations (29.9% saved)

simplify104.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
✓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 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
✓cost-diff0
(+.f64 #s(literal -1/3 binary64) a)
✓cost-diff0
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
✓cost-diff0
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
✓cost-diff0
(+.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))
✓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 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)))
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))))
Rules
2250×fma-define
944×fma-lowering-fma.f32
944×fma-lowering-fma.f64
596×*-lowering-*.f32
596×*-lowering-*.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
027185
172183
2167183
3452183
4881183
51525178
62206178
72586178
82635178
92639178
102640178
02640178
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (+ a -1/3) (+ 1 (/ (/ rand (sqrt (+ a -1/3))) 3)))
(+ a -1/3)
a
-1/3
(+ 1 (/ (/ rand (sqrt (+ a -1/3))) 3))
1
(/ (/ rand (sqrt (+ a -1/3))) 3)
(/ rand (sqrt (+ a -1/3)))
rand
(sqrt (+ a -1/3))
3
(+ -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
(+ (* (sqrt (+ -1/3 a)) (* 1/3 rand)) (+ -1/3 a))
(* (sqrt (+ -1/3 a)) (* 1/3 rand))
(sqrt (+ -1/3 a))
(+ -1/3 a)
-1/3
a
(* 1/3 rand)
1/3
rand
(/ (+ a -1/3) (/ 1 (+ 1 (/ (/ rand 3) (sqrt (+ a -1/3))))))
(+ a -1/3)
a
-1/3
(/ 1 (+ 1 (/ (/ rand 3) (sqrt (+ a -1/3)))))
1
(+ 1 (/ (/ rand 3) (sqrt (+ a -1/3))))
(/ (/ rand 3) (sqrt (+ a -1/3)))
(/ rand 3)
rand
3
(sqrt (+ a -1/3))
Outputs
(* (+ a -1/3) (+ 1 (/ (/ rand (sqrt (+ a -1/3))) 3)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
(+ 1 (/ (/ rand (sqrt (+ a -1/3))) 3))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
1
#s(literal 1 binary64)
(/ (/ rand (sqrt (+ a -1/3))) 3)
(/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/ rand (sqrt (+ a -1/3)))
(/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
rand
(sqrt (+ a -1/3))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
3
#s(literal 3 binary64)
(+ -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
(+ (* (sqrt (+ -1/3 a)) (* 1/3 rand)) (+ -1/3 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))))
(* (sqrt (+ -1/3 a)) (* 1/3 rand))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64)))
(sqrt (+ -1/3 a))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+ -1/3 a)
(+.f64 a #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
a
(* 1/3 rand)
(/.f64 rand #s(literal 3 binary64))
1/3
#s(literal 1/3 binary64)
rand
(/ (+ a -1/3) (/ 1 (+ 1 (/ (/ rand 3) (sqrt (+ a -1/3))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
(/ 1 (+ 1 (/ (/ rand 3) (sqrt (+ a -1/3)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (/ (/ rand 3) (sqrt (+ a -1/3))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/ (/ rand 3) (sqrt (+ a -1/3)))
(/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/ rand 3)
(/.f64 rand #s(literal 3 binary64))
rand
3
#s(literal 3 binary64)
(sqrt (+ a -1/3))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))

localize228.0ms (1.9%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.9%
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
✓accuracy99.5%
(/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓accuracy100.0%
(+.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))
✓accuracy100.0%
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
✓accuracy99.6%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) rand)
✓accuracy99.9%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
✓accuracy99.6%
(*.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%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))))
✓accuracy99.7%
(/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓accuracy99.6%
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))
Results
163.0ms256×0valid
Compiler

Compiled 197 to 28 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-add: 19.0ms (34.9% of total)
ival-div: 12.0ms (22% of total)
ival-mult: 10.0ms (18.3% of total)
...c/correct-round.rkt:119:19: 8.0ms (14.7% of total)
ival-sqrt: 6.0ms (11% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series38.0ms (0.3%)

Counts
19 → 384
Calls
Call 1
Inputs
#<alt (* (+ a -1/3) (+ 1 (/ (/ rand (sqrt (+ a -1/3))) 3)))>
#<alt (+ a -1/3)>
#<alt (+ 1 (/ (/ rand (sqrt (+ a -1/3))) 3))>
#<alt (/ (/ rand (sqrt (+ a -1/3))) 3)>
#<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 (+ (* (sqrt (+ -1/3 a)) (* 1/3 rand)) (+ -1/3 a))>
#<alt (* (sqrt (+ -1/3 a)) (* 1/3 rand))>
#<alt (sqrt (+ -1/3 a))>
#<alt (/ (+ a -1/3) (/ 1 (+ 1 (/ (/ rand 3) (sqrt (+ a -1/3))))))>
#<alt (/ 1 (+ 1 (/ (/ rand 3) (sqrt (+ a -1/3)))))>
#<alt (+ 1 (/ (/ rand 3) (sqrt (+ a -1/3))))>
#<alt (/ rand (sqrt (+ a -1/3)))>
#<alt (sqrt (+ a -1/3))>
#<alt (* 1/3 rand)>
#<alt (/ (/ rand 3) (sqrt (+ 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 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt -3))))>
#<alt (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))>
#<alt (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))>
#<alt (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))>
#<alt (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt a>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* 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 (+ 1 (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (+ 1 (* rand (- (* 1/9 (/ rand (- a 1/3))) (* 1/3 (sqrt (/ 1 (- a 1/3)))))))>
#<alt (+ 1 (* rand (- (* rand (+ (* -1/27 (* rand (sqrt (/ 1 (pow (- a 1/3) 3))))) (* 1/9 (/ 1 (- a 1/3))))) (* 1/3 (sqrt (/ 1 (- a 1/3)))))))>
#<alt (* 3 (* (/ 1 rand) (sqrt (- a 1/3))))>
#<alt (/ (+ (* -9 (/ (- a 1/3) rand)) (* 3 (sqrt (- a 1/3)))) rand)>
#<alt (/ (- (+ (* 3 (sqrt (- a 1/3))) (* 27 (* (/ 1 (pow rand 2)) (sqrt (pow (- a 1/3) 3))))) (* 9 (/ (- a 1/3) rand))) rand)>
#<alt (/ (- (+ (* -81 (/ (pow (- a 1/3) 2) (pow rand 3))) (* 3 (sqrt (- a 1/3)))) (+ (* -27 (* (/ 1 (pow rand 2)) (sqrt (pow (- a 1/3) 3)))) (* 9 (/ (- a 1/3) rand)))) rand)>
#<alt (* 3 (* (/ 1 rand) (sqrt (- a 1/3))))>
#<alt (* -1 (/ (+ (* -3 (sqrt (- a 1/3))) (* 9 (/ (- a 1/3) rand))) rand))>
#<alt (* -1 (/ (+ (* -3 (sqrt (- a 1/3))) (* -1 (/ (- (* 27 (* (/ 1 rand) (sqrt (pow (- a 1/3) 3)))) (* 9 (- a 1/3))) rand))) rand))>
#<alt (* -1 (/ (+ (* -3 (sqrt (- a 1/3))) (* -1 (/ (- (* -1 (/ (- (* 81 (/ (pow (- a 1/3) 2) rand)) (* 27 (sqrt (pow (- a 1/3) 3)))) rand)) (* 9 (- a 1/3))) rand))) rand))>
#<alt (/ 1 (+ 1 (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ (* 3/2 (/ (* a rand) (* (sqrt -3) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 2)))) (/ 1 (+ 1 (* 1/3 (* rand (sqrt -3))))))>
#<alt (+ (* a (- (* -1 (* a (+ (* -9/4 (/ (pow rand 2) (* (pow (sqrt -3) 2) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 3)))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (* (sqrt -3) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 2))))))) (* -3/2 (/ rand (* (sqrt -3) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 2)))))) (/ 1 (+ 1 (* 1/3 (* rand (sqrt -3))))))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/4 (/ (* (pow rand 2) (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (* (pow (sqrt -3) 2) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 3)))) (+ (* -1/6 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (* (sqrt -3) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 2)))) (* 3/2 (/ (* rand (+ (* -9/4 (/ (pow rand 2) (* (pow (sqrt -3) 2) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 3)))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (* (sqrt -3) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 2)))))) (* (sqrt -3) (+ 1 (* 1/3 (* rand (sqrt -3))))))))))) (+ (* -9/4 (/ (pow rand 2) (* (pow (sqrt -3) 2) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 3)))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (* (sqrt -3) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 2))))))) (* -3/2 (/ rand (* (sqrt -3) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 2)))))) (/ 1 (+ 1 (* 1/3 (* rand (sqrt -3))))))>
#<alt (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2)))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (- (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2)))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/18 (* (sqrt (/ 1 (pow a 3))) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* -1/324 (/ (* a (pow rand 2)) (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 3))) (* 1/6 (* (sqrt a) (/ (* rand (- 1/27 (* 1/36 a))) (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2))))) (pow a 4))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2)))) (* 1/18 (* (sqrt (/ 1 (pow a 3))) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2))))))>
#<alt (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2)))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (- (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2)))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* -1/18 (* (sqrt (/ 1 (pow a 3))) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2)))))>
#<alt (- (+ (* -1 (/ (- (+ (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (+ 1/27 (* -1/36 a))) (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2)))) (* 1/324 (/ (pow rand 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 3))))) (* 1/54 (* (sqrt a) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2))))) (pow a 3))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* -1/18 (* (sqrt (/ 1 (pow a 3))) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 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 (* 1/3 (* rand (sqrt -3))))>
#<alt (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))>
#<alt (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt -3))>
#<alt (+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))>
#<alt (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))>
#<alt (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))>
#<alt (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))>
#<alt (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
Calls

96 calls:

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

rewrite345.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
3596×/-lowering-/.f32
3596×/-lowering-/.f64
2926×*-lowering-*.f32
2926×*-lowering-*.f64
1538×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027147
1196136
22035134
08416134
Stop Event
1×iter limit
1×node limit
Counts
19 → 1122
Calls
Call 1
Inputs
(* (+ a -1/3) (+ 1 (/ (/ rand (sqrt (+ a -1/3))) 3)))
(+ a -1/3)
(+ 1 (/ (/ rand (sqrt (+ a -1/3))) 3))
(/ (/ rand (sqrt (+ a -1/3))) 3)
(+ -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))
(+ (* (sqrt (+ -1/3 a)) (* 1/3 rand)) (+ -1/3 a))
(* (sqrt (+ -1/3 a)) (* 1/3 rand))
(sqrt (+ -1/3 a))
(/ (+ a -1/3) (/ 1 (+ 1 (/ (/ rand 3) (sqrt (+ a -1/3))))))
(/ 1 (+ 1 (/ (/ rand 3) (sqrt (+ a -1/3)))))
(+ 1 (/ (/ rand 3) (sqrt (+ a -1/3))))
(/ rand (sqrt (+ a -1/3)))
(sqrt (+ a -1/3))
(* 1/3 rand)
(/ (/ rand 3) (sqrt (+ a -1/3)))
Outputs
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))) (/.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))) (/.f64 (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(-.f64 (/.f64 (*.f64 a a) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal -1/3 binary64) a))) (/.f64 (*.f64 a a) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal -1/3 binary64) a))))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))) (/.f64 (pow.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 2 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a))
(fma.f64 (+.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 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.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 a #s(literal -1/3 binary64)) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 3/2 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 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (/.f64 rand #s(literal -3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 3/2 binary64)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (/.f64 rand #s(literal -3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 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 rand #s(literal -3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand #s(literal -3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 3/2 binary64)))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (/.f64 rand #s(literal -3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand #s(literal -3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 3/2 binary64)))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (/.f64 rand #s(literal -3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand #s(literal -3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))) #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 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (/.f64 rand #s(literal -3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 (*.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 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))) #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 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (/.f64 rand #s(literal -3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 3/2 binary64))) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (/.f64 rand #s(literal -3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))) #s(literal 3/2 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (/.f64 rand #s(literal -3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand #s(literal -3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))))
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(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))) a)) (/.f64 (*.f64 a a) (-.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))) a)))
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(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 (sqrt.f64 (+.f64 a #s(literal -1/3 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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
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(*.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 (sqrt.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (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)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) rand)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 rand #s(literal -3 binary64)))
(neg.f64 (/.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 rand #s(literal 3 binary64))
(/.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 #s(literal 1 binary64) (/.f64 rand #s(literal 3 binary64)))
(*.f64 rand #s(literal 1/3 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 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 (/.f64 rand #s(literal -3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))) (/.f64 rand (neg.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))) (/.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 rand (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(neg.f64 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -3 binary64)))
(neg.f64 (/.f64 (/.f64 rand #s(literal -3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) rand))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))))))
(/.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand))
(/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (/.f64 rand #s(literal 3 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) rand)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -3 binary64))
(/.f64 (/.f64 rand #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (/.f64 rand #s(literal -3 binary64)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) rand) (neg.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
(/.f64 (*.f64 #s(literal 1 binary64) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 rand #s(literal -3 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 rand #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))
(/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand)) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand)) (neg.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand)) (neg.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 3 binary64) rand)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) rand)) (neg.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 rand #s(literal -3 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 rand #s(literal 1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) rand) #s(literal -1 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 rand (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))
(*.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 rand (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 rand #s(literal -3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64))
(*.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) rand)) #s(literal -1 binary64)) #s(literal -1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) rand)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal -3 binary64)))

simplify320.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
5304×*-lowering-*.f32
5304×*-lowering-*.f64
3232×+-lowering-+.f64
3232×+-lowering-+.f32
1512×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05986224
120445303
082185303
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
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))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
1
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt -3)))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
-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))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* 1/3 (* rand (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 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
1
(+ 1 (* -1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+ 1 (* rand (- (* 1/9 (/ rand (- a 1/3))) (* 1/3 (sqrt (/ 1 (- a 1/3)))))))
(+ 1 (* rand (- (* rand (+ (* -1/27 (* rand (sqrt (/ 1 (pow (- a 1/3) 3))))) (* 1/9 (/ 1 (- a 1/3))))) (* 1/3 (sqrt (/ 1 (- a 1/3)))))))
(* 3 (* (/ 1 rand) (sqrt (- a 1/3))))
(/ (+ (* -9 (/ (- a 1/3) rand)) (* 3 (sqrt (- a 1/3)))) rand)
(/ (- (+ (* 3 (sqrt (- a 1/3))) (* 27 (* (/ 1 (pow rand 2)) (sqrt (pow (- a 1/3) 3))))) (* 9 (/ (- a 1/3) rand))) rand)
(/ (- (+ (* -81 (/ (pow (- a 1/3) 2) (pow rand 3))) (* 3 (sqrt (- a 1/3)))) (+ (* -27 (* (/ 1 (pow rand 2)) (sqrt (pow (- a 1/3) 3)))) (* 9 (/ (- a 1/3) rand)))) rand)
(* 3 (* (/ 1 rand) (sqrt (- a 1/3))))
(* -1 (/ (+ (* -3 (sqrt (- a 1/3))) (* 9 (/ (- a 1/3) rand))) rand))
(* -1 (/ (+ (* -3 (sqrt (- a 1/3))) (* -1 (/ (- (* 27 (* (/ 1 rand) (sqrt (pow (- a 1/3) 3)))) (* 9 (- a 1/3))) rand))) rand))
(* -1 (/ (+ (* -3 (sqrt (- a 1/3))) (* -1 (/ (- (* -1 (/ (- (* 81 (/ (pow (- a 1/3) 2) rand)) (* 27 (sqrt (pow (- a 1/3) 3)))) rand)) (* 9 (- a 1/3))) rand))) rand))
(/ 1 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* 3/2 (/ (* a rand) (* (sqrt -3) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 2)))) (/ 1 (+ 1 (* 1/3 (* rand (sqrt -3))))))
(+ (* a (- (* -1 (* a (+ (* -9/4 (/ (pow rand 2) (* (pow (sqrt -3) 2) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 3)))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (* (sqrt -3) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 2))))))) (* -3/2 (/ rand (* (sqrt -3) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 2)))))) (/ 1 (+ 1 (* 1/3 (* rand (sqrt -3))))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/4 (/ (* (pow rand 2) (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (* (pow (sqrt -3) 2) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 3)))) (+ (* -1/6 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (* (sqrt -3) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 2)))) (* 3/2 (/ (* rand (+ (* -9/4 (/ (pow rand 2) (* (pow (sqrt -3) 2) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 3)))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (* (sqrt -3) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 2)))))) (* (sqrt -3) (+ 1 (* 1/3 (* rand (sqrt -3))))))))))) (+ (* -9/4 (/ (pow rand 2) (* (pow (sqrt -3) 2) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 3)))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (* (sqrt -3) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 2))))))) (* -3/2 (/ rand (* (sqrt -3) (pow (+ 1 (* 1/3 (* rand (sqrt -3)))) 2)))))) (/ 1 (+ 1 (* 1/3 (* rand (sqrt -3))))))
(/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2)))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(- (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2)))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/18 (* (sqrt (/ 1 (pow a 3))) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2)))))
(- (+ (* -1 (/ (+ (* -1/324 (/ (* a (pow rand 2)) (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 3))) (* 1/6 (* (sqrt a) (/ (* rand (- 1/27 (* 1/36 a))) (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2))))) (pow a 4))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2)))) (* 1/18 (* (sqrt (/ 1 (pow a 3))) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2))))))
(/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2)))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(- (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2)))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* -1/18 (* (sqrt (/ 1 (pow a 3))) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2)))))
(- (+ (* -1 (/ (- (+ (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (+ 1/27 (* -1/36 a))) (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2)))) (* 1/324 (/ (pow rand 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 3))))) (* 1/54 (* (sqrt a) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 2))))) (pow a 3))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* -1/18 (* (sqrt (/ 1 (pow a 3))) (/ rand (pow (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 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 (* 1/3 (* rand (sqrt -3))))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt -3))
(+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))
(* (sqrt (/ 1 a)) rand)
(+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(* (sqrt (/ 1 a)) rand)
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt -3)))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
Outputs
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.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 #s(literal 1/3 binary64) (*.f64 rand (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 #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 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 #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 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (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 #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 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 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/9 binary64))) a)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 a (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/9 binary64))) 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 (+ (* -1/3 (/ (+ 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 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/9 binary64))) a) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) #s(literal 0 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 (* 1/3 (* (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 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (/.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))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(*.f64 a (neg.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (/.f64 (+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/9 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/18 binary64)))) a))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (/.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/9 binary64))) (/.f64 (+.f64 (*.f64 rand (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a))) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 0 binary64))) a)) a)) (neg.f64 a))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.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 (-.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)) (neg.f64 rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (-.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)) (neg.f64 rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (-.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)) (neg.f64 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 #s(literal 0 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(-.f64 #s(literal 0 binary64) (*.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))))
(*.f64 (+.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)) (neg.f64 rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(*.f64 (+.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)) (neg.f64 rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(*.f64 (+.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)) (neg.f64 rand))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (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 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 rand a)) (sqrt.f64 #s(literal -3 binary64))))
(+ 1 (+ (* 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 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -27/8 binary64) rand) a) (sqrt.f64 #s(literal -3 binary64))))))
(+ 1 (+ (* 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 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -135/16 binary64) rand) a) (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 (*.f64 rand (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 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 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64))))))) (*.f64 rand (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))))
(+ 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 (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)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal -1/54 binary64))) (*.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 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64)))) (/.f64 (+.f64 (*.f64 rand (*.f64 #s(literal 1/54 binary64) (sqrt.f64 a))) (*.f64 (*.f64 rand (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 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 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.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 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -27/8 binary64) rand) a) (sqrt.f64 #s(literal -3 binary64))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -135/16 binary64) rand) a) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (*.f64 rand (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))))
(+ (* 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64))))))) (*.f64 rand (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))))
(* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal -1/54 binary64))) (*.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 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(-.f64 (*.f64 rand (+.f64 (*.f64 #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 rand (*.f64 #s(literal 1/54 binary64) (sqrt.f64 a))) (*.f64 (*.f64 rand (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/6 binary64)))) (*.f64 a (*.f64 a 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 #s(literal 0 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) 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))))
(* 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))))))
(* 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))))))
(* 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))))))
(* 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))))))
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 (neg.f64 rand) (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 (neg.f64 rand) (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 (neg.f64 rand) (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ 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 (* 1/3 (* (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 (* 1/3 (* (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
#s(literal 1 binary64)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
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1
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(* 3 (* (/ 1 rand) (sqrt (- a 1/3))))
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(/ 1 (+ 1 (* 1/3 (* rand (sqrt -3)))))
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(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))
(* rand (sqrt -3))
(*.f64 rand (sqrt.f64 #s(literal -3 binary64)))
(+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))
(+.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 rand (/.f64 a (sqrt.f64 #s(literal -3 binary64)))) #s(literal -9/2 binary64)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))
(+.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -9/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -81/8 binary64) rand) a) (sqrt.f64 #s(literal -3 binary64))))))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))
(+.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -9/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 a (*.f64 rand #s(literal 405/8 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -81/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))))))))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(*.f64 rand (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64))))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(+.f64 (*.f64 rand (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal 1/18 binary64))))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(+.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64))))))) (*.f64 rand (+.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)))))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(*.f64 rand (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))
(+.f64 (*.f64 rand (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal -1/18 binary64))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(-.f64 (*.f64 rand (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (/.f64 (+.f64 (*.f64 rand (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a))) (*.f64 (*.f64 rand (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (*.f64 a (*.f64 a 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 (*.f64 a #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 #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(*.f64 a (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (*.f64 (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 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64)))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(*.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 a (neg.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))))))))
(* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (+.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)))) (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 (*.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 (*.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)))) (neg.f64 a))
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.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 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -27/8 binary64) rand) a) (sqrt.f64 #s(literal -3 binary64))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -135/16 binary64) rand) a) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (*.f64 rand (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))))
(+ (* 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64))))))) (*.f64 rand (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))))
(* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal -1/54 binary64))) (*.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 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(-.f64 (*.f64 rand (+.f64 (*.f64 #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 rand (*.f64 #s(literal 1/54 binary64) (sqrt.f64 a))) (*.f64 (*.f64 rand (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/6 binary64)))) (*.f64 a (*.f64 a a))))

eval290.0ms (2.4%)

Compiler

Compiled 48698 to 4633 computations (90.5% saved)

prune282.0ms (2.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New2037162053
Fresh213
Picked415
Done000
Total2043182061
Accuracy
100.0%
Counts
2061 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.3%
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
22.7%
(/.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)))))
43.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
65.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
▶99.9%
(+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
99.9%
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
98.5%
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
99.1%
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
98.5%
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
✓65.9%
(+.f64 #s(literal -1/3 binary64) a)
▶43.2%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
22.7%
(*.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))))))
34.6%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
98.5%
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))))
▶98.5%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
▶34.1%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
65.3%
a
▶1.4%
#s(literal -1/3 binary64)
Compiler

Compiled 385 to 284 computations (26.2% saved)

simplify143.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand))
✓cost-diff0
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(*.f64 rand (sqrt.f64 a))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
✓cost-diff0
(/.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))) rand)
✓cost-diff0
(/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64))
✓cost-diff0
(+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
Rules
2616×fnmadd-define
2588×fma-define
2042×fma-lowering-fma.f32
2042×fma-lowering-fma.f64
1868×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025116
159112
2122112
3268112
4448112
5703112
61150112
72254112
84607112
95783112
08165112
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (/ (* (sqrt (+ a -1/3)) rand) 3) (+ -1/3 a))
(/ (* (sqrt (+ a -1/3)) rand) 3)
(* (sqrt (+ a -1/3)) rand)
(sqrt (+ a -1/3))
(+ a -1/3)
a
-1/3
rand
3
(+ -1/3 a)
-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
(* 1/3 (* rand (sqrt a)))
1/3
(* rand (sqrt a))
rand
(sqrt a)
a
(* a (+ 1 (* (/ 1/3 (sqrt a)) rand)))
a
(+ 1 (* (/ 1/3 (sqrt a)) rand))
1
(* (/ 1/3 (sqrt a)) rand)
(/ 1/3 (sqrt a))
1/3
(sqrt a)
rand
Outputs
(+ (/ (* (sqrt (+ a -1/3)) rand) 3) (+ -1/3 a))
(+.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #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)) rand)
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)
(sqrt (+ a -1/3))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
rand
3
#s(literal 3 binary64)
(+ -1/3 a)
(+.f64 a #s(literal -1/3 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)
(* 1/3 (* rand (sqrt a)))
(/.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))
1/3
#s(literal 1/3 binary64)
(* rand (sqrt a))
(*.f64 rand (sqrt.f64 a))
rand
(sqrt a)
(sqrt.f64 a)
a
(* a (+ 1 (* (/ 1/3 (sqrt a)) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))))
a
(+ 1 (* (/ 1/3 (sqrt a)) rand))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(* (/ 1/3 (sqrt a)) rand)
(/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))
(/ 1/3 (sqrt a))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
1/3
#s(literal 1/3 binary64)
(sqrt a)
(sqrt.f64 a)
rand

localize179.0ms (1.5%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.9%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.7%
(*.f64 rand (sqrt.f64 a))
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
✓accuracy100.0%
(*.f64 a a)
✓accuracy100.0%
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))
✓accuracy58.9%
(*.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 (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.7%
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)
✓accuracy99.6%
(/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64))
Results
135.0ms256×0valid
Compiler

Compiled 124 to 26 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
...c/correct-round.rkt:119:19: 16.0ms (33.7% of total)
ival-mult: 14.0ms (29.5% of total)
ival-div: 5.0ms (10.5% of total)
ival-add: 5.0ms (10.5% of total)
ival-sqrt: 4.0ms (8.4% of total)
ival-sub: 2.0ms (4.2% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.1%)

Counts
15 → 276
Calls
Call 1
Inputs
#<alt (+ (/ (* (sqrt (+ a -1/3)) rand) 3) (+ -1/3 a))>
#<alt (/ (* (sqrt (+ a -1/3)) rand) 3)>
#<alt (* (sqrt (+ a -1/3)) rand)>
#<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 (* 1/3 (* rand (sqrt a)))>
#<alt (* rand (sqrt a))>
#<alt (sqrt a)>
#<alt (* a (+ 1 (* (/ 1/3 (sqrt a)) rand)))>
#<alt (+ 1 (* (/ 1/3 (sqrt a)) rand))>
#<alt (* (/ 1/3 (sqrt a)) rand)>
#<alt (/ 1/3 (sqrt 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 (* rand (sqrt -1/3)))>
#<alt (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (sqrt -1/3))>
#<alt (+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))>
#<alt (* (sqrt a) rand)>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<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 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* (sqrt a) rand)>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<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>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
Calls

69 calls:

TimeVariablePointExpression
3.0ms
a
@-inf
(/ 1/3 (sqrt a))
1.0ms
a
@-inf
(* a (+ 1 (* (/ 1/3 (sqrt a)) rand)))
1.0ms
rand
@0
(* 1/3 (* rand (sqrt a)))
0.0ms
a
@0
(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))
0.0ms
a
@inf
(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))

rewrite380.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
5176×*-lowering-*.f32
5176×*-lowering-*.f64
2764×/-lowering-/.f32
2764×/-lowering-/.f64
2672×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02583
114980
2157280
0851580
Stop Event
1×iter limit
1×node limit
Counts
15 → 602
Calls
Call 1
Inputs
(+ (/ (* (sqrt (+ a -1/3)) rand) 3) (+ -1/3 a))
(/ (* (sqrt (+ a -1/3)) rand) 3)
(* (sqrt (+ a -1/3)) rand)
(sqrt (+ a -1/3))
(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))
(- 1/9 (* a a))
(* a a)
(/ 1 (- -1/3 a))
(* 1/3 (* rand (sqrt a)))
(* rand (sqrt a))
(sqrt a)
(* a (+ 1 (* (/ 1/3 (sqrt a)) rand)))
(+ 1 (* (/ 1/3 (sqrt a)) rand))
(* (/ 1/3 (sqrt a)) rand)
(/ 1/3 (sqrt 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 (*.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 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 #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 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 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 rand #s(literal 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 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 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)))))
(fma.f64 a #s(literal 1 binary64) (+.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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 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 (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 #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) 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 #s(literal 1 binary64) (/.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)))
(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 #s(literal 1/3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.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 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.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)))
(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 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 (-.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 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 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 (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 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (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 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (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 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 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 (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 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 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 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand))))))
(/.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 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 (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) (+.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand)) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand)) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand)) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 #s(literal -3 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -3 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand)) (+.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal -3 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (*.f64 #s(literal -3 binary64) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 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)) rand))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand))) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand)))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.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 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand))))
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(fma.f64 a (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) a)
(fma.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a) a)
(fma.f64 #s(literal 1 binary64) a (*.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (*.f64 rand a) a)
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) a a)
(fma.f64 (*.f64 a rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)
(fma.f64 (*.f64 a (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand a)
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64)))) (+.f64 (*.f64 a a) (-.f64 (pow.f64 (*.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)) #s(literal 2 binary64)) (*.f64 a (*.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a)) #s(literal 2 binary64))) (-.f64 a (*.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) a))))
(/.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a))) (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64))) a) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a)) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) a)
(+.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(+.f64 (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))) (/.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(fma.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand #s(literal 1 binary64))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64))) (+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a)) (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 1 binary64)) (-.f64 (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))))
(/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64))))
(/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(/.f64 (neg.f64 (/.f64 rand #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 a)))
(/.f64 (*.f64 #s(literal 1 binary64) rand) (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(/.f64 (*.f64 rand #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 a)))
(/.f64 (*.f64 rand #s(literal 1 binary64)) (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 rand #s(literal 3 binary64))) (sqrt.f64 a))
(/.f64 (*.f64 #s(literal -1/3 binary64) rand) (-.f64 #s(literal 0 binary64) (sqrt.f64 a)))
(pow.f64 (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(*.f64 #s(literal 1 binary64) (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) rand))
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
(*.f64 (/.f64 rand (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 a)))
(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(pow.f64 (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 a))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal -1/2 binary64)))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))

simplify360.0ms (3%)

Algorithm
1×egg-herbie
Rules
4826×*-lowering-*.f32
4826×*-lowering-*.f64
3954×+-lowering-+.f64
3954×+-lowering-+.f32
1282×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03422591
111472319
243822286
083532286
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
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 (* rand (sqrt -1/3)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (sqrt -1/3))
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))
(* (sqrt a) rand)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* 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
(+ 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)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
1
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
(* 1/3 (sqrt (/ 1 a)))
Outputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (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 a (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 rand (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 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (+.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)))))))) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #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 #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 -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.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)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.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 (+.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 (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 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (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 rand (*.f64 #s(literal 1/3 binary64) (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 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 #s(literal 1/3 binary64) (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 -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (*.f64 rand (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (*.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 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -1/3 (* (sqrt a) (* 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 a (*.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 (* 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 (*.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 -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 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 a (*.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 #s(literal 1 binary64) (*.f64 a (*.f64 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))))) #s(literal -1 binary64)))
(* 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))
(* rand (sqrt -1/3))
(*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(+.f64 (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 rand a) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
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(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.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
(+ 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 (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))

eval140.0ms (1.2%)

Compiler

Compiled 24206 to 2494 computations (89.7% saved)

prune140.0ms (1.1%)

Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New89110901
Fresh3912
Picked145
Done011
Total89524919
Accuracy
100.0%
Counts
919 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.3%
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
11.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
65.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
✓99.9%
(+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
▶99.9%
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
98.5%
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
99.1%
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
98.5%
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
✓65.9%
(+.f64 #s(literal -1/3 binary64) a)
▶17.4%
(*.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 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
34.2%
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
6.7%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
10.1%
(*.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)))
▶6.4%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
35.6%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
10.8%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
34.2%
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
▶34.6%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
98.5%
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))))
✓98.5%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
30.9%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (pow.f64 (*.f64 a a) #s(literal 1/4 binary64))))
✓34.1%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
▶65.3%
a
✓1.4%
#s(literal -1/3 binary64)
Compiler

Compiled 548 to 386 computations (29.6% saved)

simplify235.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) rand)
✓cost-diff0
(+.f64 #s(literal -1/3 binary64) a)
✓cost-diff0
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
✓cost-diff0
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
✓cost-diff0
(*.f64 a (*.f64 a (*.f64 a a)))
✓cost-diff0
(-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
✓cost-diff128
(*.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 #s(literal 1 binary64) (-.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
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff0
(/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))
✓cost-diff0
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
Rules
3386×*-lowering-*.f32
3386×*-lowering-*.f64
2064×fma-lowering-fma.f32
2064×fma-lowering-fma.f64
1708×fnmadd-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032145
180135
2177135
3426135
41270135
53937135
08040135
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (/ (sqrt (+ a -1/3)) (/ 3 rand)) (+ a -1/3))
(/ (sqrt (+ a -1/3)) (/ 3 rand))
(sqrt (+ a -1/3))
(+ a -1/3)
a
-1/3
(/ 3 rand)
3
rand
a
(* (- 1/9 (* a a)) (+ (* a 9) -3))
(- 1/9 (* a a))
1/9
(* a a)
a
(+ (* a 9) -3)
(* a 9)
9
-3
(* (/ (- 1/81 (* a (* a (* a a)))) (+ 1/9 (* a a))) (/ 1 (- -1/3 a)))
(/ (- 1/81 (* a (* a (* a a)))) (+ 1/9 (* a a)))
(- 1/81 (* a (* a (* a a))))
1/81
(* a (* a (* a a)))
a
(* a (* a a))
(* a a)
(+ 1/9 (* a a))
1/9
(/ 1 (- -1/3 a))
1
(- -1/3 a)
-1/3
(* (sqrt (+ -1/3 a)) (* 1/3 rand))
(sqrt (+ -1/3 a))
(+ -1/3 a)
-1/3
a
(* 1/3 rand)
1/3
rand
Outputs
(+ (/ (sqrt (+ a -1/3)) (/ 3 rand)) (+ a -1/3))
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(/ (sqrt (+ a -1/3)) (/ 3 rand))
(/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))
(sqrt (+ a -1/3))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
(/ 3 rand)
(/.f64 #s(literal 3 binary64) rand)
3
#s(literal 3 binary64)
rand
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)
(* (/ (- 1/81 (* a (* a (* a a)))) (+ 1/9 (* a a))) (/ 1 (- -1/3 a)))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a)))
(/ (- 1/81 (* a (* a (* a a)))) (+ 1/9 (* a a)))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(- 1/81 (* a (* a (* a a))))
(-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))
1/81
#s(literal 1/81 binary64)
(* a (* a (* a a)))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(* a (* a a))
(*.f64 a (*.f64 a a))
(* a a)
(*.f64 a a)
(+ 1/9 (* a a))
(+.f64 #s(literal 1/9 binary64) (*.f64 a a))
1/9
#s(literal 1/9 binary64)
(/ 1 (- -1/3 a))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))
1
#s(literal 1 binary64)
(- -1/3 a)
(-.f64 #s(literal -1/3 binary64) a)
-1/3
#s(literal -1/3 binary64)
(* (sqrt (+ -1/3 a)) (* 1/3 rand))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))
(sqrt (+ -1/3 a))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+ -1/3 a)
(+.f64 a #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
a
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
rand

localize237.0ms (1.9%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal -1/3 binary64) a)
✓accuracy100.0%
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
✓accuracy99.6%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) rand)
✓accuracy99.9%
(*.f64 a (*.f64 a (*.f64 a a)))
✓accuracy99.9%
(*.f64 a (*.f64 a a))
✓accuracy58.9%
(*.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 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
✓accuracy29.1%
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a 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 a #s(literal -1/3 binary64))
✓accuracy100.0%
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.5%
(/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))
Results
160.0ms249×0valid
5.0ms4×2valid
3.0ms3×1valid
Compiler

Compiled 169 to 33 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
...c/correct-round.rkt:119:19: 19.0ms (32.9% of total)
ival-mult: 14.0ms (24.2% of total)
ival-div: 7.0ms (12.1% of total)
ival-add: 7.0ms (12.1% of total)
ival-sub: 4.0ms (6.9% of total)
ival-sqrt: 4.0ms (6.9% of total)
const: 1.0ms (1.7% of total)
backward-pass: 1.0ms (1.7% of total)

series17.0ms (0.1%)

Counts
18 → 252
Calls
Call 1
Inputs
#<alt (+ (/ (sqrt (+ a -1/3)) (/ 3 rand)) (+ a -1/3))>
#<alt (/ (sqrt (+ a -1/3)) (/ 3 rand))>
#<alt (sqrt (+ a -1/3))>
#<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 (* (/ (- 1/81 (* a (* a (* a a)))) (+ 1/9 (* a a))) (/ 1 (- -1/3 a)))>
#<alt (/ (- 1/81 (* a (* a (* a a)))) (+ 1/9 (* a a)))>
#<alt (- 1/81 (* a (* a (* a a))))>
#<alt (* a (* a (* a a)))>
#<alt (* (sqrt (+ -1/3 a)) (* 1/3 rand))>
#<alt (sqrt (+ -1/3 a))>
#<alt (+ -1/3 a)>
#<alt (* 1/3 rand)>
#<alt (* a 9)>
#<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 (* 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 -1/3>
#<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 -1/3>
#<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 1/81>
#<alt (+ 1/81 (* -1 (pow a 4)))>
#<alt (+ 1/81 (* -1 (pow a 4)))>
#<alt (+ 1/81 (* -1 (pow a 4)))>
#<alt (* -1 (pow a 4))>
#<alt (* (pow a 4) (- (* 1/81 (/ 1 (pow a 4))) 1))>
#<alt (* (pow a 4) (- (* 1/81 (/ 1 (pow a 4))) 1))>
#<alt (* (pow a 4) (- (* 1/81 (/ 1 (pow a 4))) 1))>
#<alt (* -1 (pow a 4))>
#<alt (* (pow a 4) (- (* 1/81 (/ 1 (pow a 4))) 1))>
#<alt (* (pow a 4) (- (* 1/81 (/ 1 (pow a 4))) 1))>
#<alt (* (pow a 4) (- (* 1/81 (/ 1 (pow a 4))) 1))>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<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 (* 1/3 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 (* 9 a)>
#<alt (* 9 a)>
#<alt (* 9 a)>
#<alt (* 9 a)>
#<alt (* 9 a)>
#<alt (* 9 a)>
#<alt (* 9 a)>
#<alt (* 9 a)>
#<alt (* 9 a)>
#<alt (* 9 a)>
#<alt (* 9 a)>
#<alt (* 9 a)>
#<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
5.0ms
a
@0
(* (- 1/9 (* a a)) (+ (* a 9) -3))
4.0ms
a
@inf
(* a (* a a))
1.0ms
a
@inf
(* (/ (- 1/81 (* a (* a (* a a)))) (+ 1/9 (* a a))) (/ 1 (- -1/3 a)))
1.0ms
a
@0
(* (/ (- 1/81 (* a (* a (* a a)))) (+ 1/9 (* a a))) (/ 1 (- -1/3 a)))
0.0ms
a
@inf
(/ (- 1/81 (* a (* a (* a a)))) (+ 1/9 (* a a)))

rewrite397.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
2974×/-lowering-/.f32
2974×/-lowering-/.f64
2504×*-lowering-*.f32
2504×*-lowering-*.f64
2174×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03289
120384
2235484
0858484
Stop Event
1×iter limit
1×node limit
Counts
18 → 1009
Calls
Call 1
Inputs
(+ (/ (sqrt (+ a -1/3)) (/ 3 rand)) (+ a -1/3))
(/ (sqrt (+ a -1/3)) (/ 3 rand))
(sqrt (+ a -1/3))
(+ a -1/3)
(* (- 1/9 (* a a)) (+ (* a 9) -3))
(- 1/9 (* a a))
(* a a)
(+ (* a 9) -3)
(* (/ (- 1/81 (* a (* a (* a a)))) (+ 1/9 (* a a))) (/ 1 (- -1/3 a)))
(/ (- 1/81 (* a (* a (* a a)))) (+ 1/9 (* a a)))
(- 1/81 (* a (* a (* a a))))
(* a (* a (* a a)))
(* (sqrt (+ -1/3 a)) (* 1/3 rand))
(sqrt (+ -1/3 a))
(+ -1/3 a)
(* 1/3 rand)
(* a 9)
(* a (* a a))
Outputs
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (+.f64 a (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))) #s(literal -1/3 binary64))
(+.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) #s(literal -1/3 binary64)) a)
(-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal -3 binary64) rand)))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) (+.f64 a #s(literal -1/3 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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(fma.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(fma.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(fma.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (-.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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 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 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))) (+.f64 (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 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) (+.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 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))) (+.f64 (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 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) (+.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 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (+.f64 (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 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))))
(/.f64 (+.f64 (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 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 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 #s(literal 3 binary64) rand)))))
(/.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.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 #s(literal 3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 3 binary64) rand)) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (/.f64 #s(literal 3 binary64) rand)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (/.f64 (/.f64 #s(literal 3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -3 binary64) rand)) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (/.f64 #s(literal -3 binary64) rand)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 3 binary64) rand)) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 3 binary64) rand)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (/.f64 #s(literal 3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a)) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -3 binary64) rand)) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal -3 binary64) rand)))
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 3 binary64) rand)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 3 binary64) rand)))
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (/.f64 (/.f64 #s(literal 3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal -3 binary64) rand)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal -3 binary64) rand)))
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 #s(literal 3 binary64) rand)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (/.f64 #s(literal 3 binary64) rand)))
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 #s(literal -3 binary64) rand)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (/.f64 #s(literal -3 binary64) rand)))
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 3 binary64) rand)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 3 binary64) rand)))
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (/.f64 #s(literal 3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal -3 binary64) rand)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -3 binary64) rand)))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 (/.f64 #s(literal 3 binary64) rand) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 3 binary64) rand) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (+.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 3 binary64) rand) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (/.f64 #s(literal 3 binary64) rand) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 (/.f64 #s(literal 3 binary64) rand) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (*.f64 (/.f64 #s(literal 3 binary64) rand) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) rand) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (*.f64 (/.f64 #s(literal 3 binary64) rand) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 3 binary64) rand) (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)))) (*.f64 (/.f64 #s(literal 3 binary64) rand) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
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(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.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 0 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (neg.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (neg.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))
(/.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 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (+.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 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.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) a))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.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) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) (neg.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (neg.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))
(/.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 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.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 #s(literal 0 binary64) (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 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal -1/3 binary64) a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) #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))
(pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.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 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))))
(*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.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 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.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 -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.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 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) rand)) #s(literal -1 binary64)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) rand)))
(/.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 1/3 binary64) (/.f64 #s(literal 1 binary64) rand))
(/.f64 #s(literal -1 binary64) (/.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))
(pow.f64 (/.f64 #s(literal 3 binary64) rand) #s(literal -1 binary64))
(pow.f64 (/.f64 rand #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) rand) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) rand))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) rand)) #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 (pow.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64))
(*.f64 a #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) a)
(exp.f64 (*.f64 (log.f64 a) #s(literal 3 binary64)))
(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)))

simplify354.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
4488×*-lowering-*.f32
4488×*-lowering-*.f64
4454×+-lowering-+.f64
4454×+-lowering-+.f32
1134×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02942469
19322157
235782129
082202129
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 (* 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)))
-1/3
(- 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)))
-1/3
(- 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))
1/81
(+ 1/81 (* -1 (pow a 4)))
(+ 1/81 (* -1 (pow a 4)))
(+ 1/81 (* -1 (pow a 4)))
(* -1 (pow a 4))
(* (pow a 4) (- (* 1/81 (/ 1 (pow a 4))) 1))
(* (pow a 4) (- (* 1/81 (/ 1 (pow a 4))) 1))
(* (pow a 4) (- (* 1/81 (/ 1 (pow a 4))) 1))
(* -1 (pow a 4))
(* (pow a 4) (- (* 1/81 (/ 1 (pow a 4))) 1))
(* (pow a 4) (- (* 1/81 (/ 1 (pow a 4))) 1))
(* (pow a 4) (- (* 1/81 (/ 1 (pow a 4))) 1))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(* 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)))
(* 1/3 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)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(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 #s(literal -1/3 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (*.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 rand (sqrt.f64 #s(literal -1/3 binary64)))) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (+.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)))))))) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #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 rand (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (-.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 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1/18 binary64))) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.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 (* 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))))))))
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(* 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))))
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(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
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(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(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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(* -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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#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
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a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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-1/3
#s(literal -1/3 binary64)
(- a 1/3)
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(- (* a (+ 1 (* 3 a))) 1/3)
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(- (* a (+ 1 (* a (+ 3 (* -9 a))))) 1/3)
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(* -9 (pow a 3))
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(* (pow a 3) (- (* 3 (/ 1 a)) 9))
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(* (pow a 3) (- (+ (* 3 (/ 1 a)) (/ 1 (pow a 2))) 9))
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(* (pow a 3) (- (+ (* 3 (/ 1 a)) (/ 1 (pow a 2))) (+ 9 (* 1/3 (/ 1 (pow a 3))))))
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(* -9 (pow a 3))
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(* -1 (* (pow a 3) (+ 9 (* -1 (/ (+ 3 (/ 1 a)) a)))))
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1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1 (pow a 2)))
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(+ 1/9 (* -1 (pow a 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
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(-.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 (*.f64 a 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 (*.f64 a 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 (*.f64 a 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 (*.f64 a 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 (*.f64 a 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 (*.f64 a 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)
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(- (* 9 a) 3)
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(- (* 9 a) 3)
(+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* a (- 9 (* 3 (/ 1 a))))
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(* a (- 9 (* 3 (/ 1 a))))
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(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
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(* -1 (* a (- (* 3 (/ 1 a)) 9)))
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(* -1 (* a (- (* 3 (/ 1 a)) 9)))
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-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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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 (*.f64 a 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 (*.f64 a 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 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(* -1 (pow a 2))
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(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(*.f64 (*.f64 a 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 (*.f64 a 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 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))))
1/81
#s(literal 1/81 binary64)
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(-.f64 #s(literal 1/81 binary64) (pow.f64 a #s(literal 4 binary64)))
(+ 1/81 (* -1 (pow a 4)))
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(+ 1/81 (* -1 (pow a 4)))
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(* -1 (pow a 4))
(-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (* 1/81 (/ 1 (pow a 4))) 1))
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(* (pow a 4) (- (* 1/81 (/ 1 (pow a 4))) 1))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 a #s(literal 4 binary64)))))
(* (pow a 4) (- (* 1/81 (/ 1 (pow a 4))) 1))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 a #s(literal 4 binary64)))))
(* -1 (pow a 4))
(-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (* 1/81 (/ 1 (pow a 4))) 1))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 a #s(literal 4 binary64)))))
(* (pow a 4) (- (* 1/81 (/ 1 (pow a 4))) 1))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 a #s(literal 4 binary64)))))
(* (pow a 4) (- (* 1/81 (/ 1 (pow a 4))) 1))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 a #s(literal 4 binary64)))))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* 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 #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 rand (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 rand (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1 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 #s(literal 1 binary64) (*.f64 a (*.f64 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 a (-.f64 #s(literal 0 binary64) (*.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 #s(literal 1 binary64) (*.f64 a (*.f64 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)))))))
(* 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))))
(+ (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 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 a #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(*.f64 a (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(*.f64 a (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64)))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 a (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* 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 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64))))) (-.f64 #s(literal 0 binary64) a))
-1/3
#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)
(*.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)
(* 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))
(* 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))
(* 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))
(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))

eval172.0ms (1.4%)

Compiler

Compiled 37178 to 2916 computations (92.2% saved)

prune241.0ms (2%)

Pruning

35 alts after pruning (30 fresh and 5 done)

PrunedKeptTotal
New1402181420
Fresh21214
Picked415
Done145
Total1409351444
Accuracy
100.0%
Counts
1444 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.2%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
6.4%
(/.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
11.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
6.4%
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)))
0.3%
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
34.7%
(/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64))
34.7%
(/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))
65.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
✓99.9%
(+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
99.1%
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) a)
98.5%
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
98.5%
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
10.8%
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))))
✓65.9%
(+.f64 #s(literal -1/3 binary64) a)
4.2%
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
2.0%
(*.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)))
0.3%
(*.f64 (/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
0.2%
(*.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
34.2%
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
6.7%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
10.1%
(*.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)))
35.6%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
6.0%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)))))
6.4%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal 9 binary64)))
10.8%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
2.0%
(*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
6.4%
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 3 binary64) a)))
34.2%
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
98.5%
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))))
6.4%
(*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64))))
30.9%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (pow.f64 (*.f64 a a) #s(literal 1/4 binary64))))
✓34.1%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
65.6%
(*.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
✓65.3%
a
✓1.4%
#s(literal -1/3 binary64)
Compiler

Compiled 1411 to 568 computations (59.7% saved)

regimes108.0ms (0.9%)

Counts
54 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 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 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 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 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (pow.f64 (*.f64 a a) #s(literal 1/4 binary64))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #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)) a)
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) a)
(*.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 (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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(*.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 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.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 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
Calls

4 calls:

55.0ms
a
17.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
16.0ms
rand
14.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Results
AccuracySegmentsBranch
99.9%1a
99.9%1rand
99.9%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
99.9%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes47.0ms (0.4%)

Counts
48 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 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 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 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 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (pow.f64 (*.f64 a a) #s(literal 1/4 binary64))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #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)) a)
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) a)
(*.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 (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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
Outputs
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
Calls

2 calls:

29.0ms
rand
13.0ms
a
Results
AccuracySegmentsBranch
99.9%1a
99.9%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 1/9 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 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 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 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 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (pow.f64 (*.f64 a a) #s(literal 1/4 binary64))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #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)) a)
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) a)
(*.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 (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)

regimes31.0ms (0.3%)

Counts
46 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 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 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 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 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (pow.f64 (*.f64 a a) #s(literal 1/4 binary64))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #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)) a)
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) a)
(*.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))))))
Outputs
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) a)
Calls

2 calls:

14.0ms
rand
12.0ms
a
Results
AccuracySegmentsBranch
99.1%1a
99.1%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes30.0ms (0.2%)

Counts
43 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 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 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 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 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (pow.f64 (*.f64 a a) #s(literal 1/4 binary64))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #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)) a)
Outputs
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
Calls

2 calls:

14.0ms
a
12.0ms
rand
Results
AccuracySegmentsBranch
99.1%1a
99.1%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.2%)

Counts
42 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 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 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 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 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (pow.f64 (*.f64 a a) #s(literal 1/4 binary64))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))))
Outputs
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
Calls

2 calls:

12.0ms
rand
11.0ms
a
Results
AccuracySegmentsBranch
98.5%1a
98.5%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes98.0ms (0.8%)

Counts
36 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 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 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 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 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
Outputs
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
Calls

2 calls:

42.0ms
a
10.0ms
rand
Results
AccuracySegmentsBranch
98.5%1a
98.5%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes53.0ms (0.4%)

Counts
35 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 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 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 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 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 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 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
Calls

2 calls:

10.0ms
a
10.0ms
rand
Results
AccuracySegmentsBranch
65.9%1a
93.5%3rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
34 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 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 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 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 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
Outputs
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
Calls

1 calls:

9.0ms
rand
Results
AccuracySegmentsBranch
93.0%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
33 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 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 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 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 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
Outputs
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
Calls

1 calls:

9.0ms
rand
Results
AccuracySegmentsBranch
93.0%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes36.0ms (0.3%)

Counts
32 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 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 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 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 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) 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:

32.0ms
rand
Results
AccuracySegmentsBranch
93.0%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes30.0ms (0.2%)

Counts
31 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 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 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 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 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.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 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)) #s(literal -27 binary64))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
Outputs
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) 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)))
Calls

1 calls:

9.0ms
rand
Results
AccuracySegmentsBranch
76.9%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
20 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 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 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
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)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
Calls

1 calls:

6.0ms
rand
Results
AccuracySegmentsBranch
76.6%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
16 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 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 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
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:

5.0ms
rand
Results
AccuracySegmentsBranch
76.5%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 1/9 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.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
71.7%2rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.2%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
Outputs
(+.f64 #s(literal -1/3 binary64) a)
Calls

1 calls:

18.0ms
rand
Results
AccuracySegmentsBranch
65.9%1rand
Compiler

Compiled 3 to 2 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
65.3%1a
65.3%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
1.4%1a
1.4%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch41.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
1.3210781255792396e+87
3.689098593679647e+90
20.0ms
-1.991569896783918e+107
-2.692713025892281e+100
Results
26.0ms272×0valid
Compiler

Compiled 300 to 239 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 5.0ms (33% of total)
ival-div: 4.0ms (26.4% of total)
ival-sqrt: 2.0ms (13.2% of total)
ival-sub: 1.0ms (6.6% of total)
ival-add: 1.0ms (6.6% of total)
const: 1.0ms (6.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
1.3210781255792396e+87
3.689098593679647e+90
19.0ms
-1.991569896783918e+107
-2.692713025892281e+100
Results
28.0ms272×0valid
Compiler

Compiled 282 to 221 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (38.4% of total)
ival-div: 6.0ms (32.9% of total)
ival-sqrt: 2.0ms (11% of total)
ival-sub: 1.0ms (5.5% of total)
ival-add: 1.0ms (5.5% of total)
const: 1.0ms (5.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
1.3210781255792396e+87
3.689098593679647e+90
20.0ms
-1.991569896783918e+107
-2.692713025892281e+100
Results
27.0ms272×0valid
Compiler

Compiled 282 to 221 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 6.0ms (34.1% of total)
ival-mult: 5.0ms (28.4% of total)
ival-sub: 2.0ms (11.4% of total)
ival-sqrt: 2.0ms (11.4% of total)
ival-add: 1.0ms (5.7% of total)
const: 1.0ms (5.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
1.3210781255792396e+87
3.689098593679647e+90
19.0ms
-1.991569896783918e+107
-2.692713025892281e+100
Results
28.0ms272×0valid
Compiler

Compiled 282 to 221 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 8.0ms (46.2% of total)
ival-div: 4.0ms (23.1% of total)
ival-sqrt: 2.0ms (11.5% of total)
ival-sub: 1.0ms (5.8% of total)
ival-add: 1.0ms (5.8% of total)
const: 1.0ms (5.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
8.440682748977877e+127
1.1021845716340788e+130
19.0ms
-9.475316941274697e+146
-2.282277239145597e+139
Results
25.0ms256×0valid
Compiler

Compiled 447 to 348 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 5.0ms (32.2% of total)
ival-mult: 5.0ms (32.2% of total)
ival-sqrt: 2.0ms (12.9% of total)
ival-sub: 1.0ms (6.4% of total)
ival-add: 1.0ms (6.4% of total)
const: 1.0ms (6.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
8.440682748977877e+127
1.1021845716340788e+130
19.0ms
-9.475316941274697e+146
-2.282277239145597e+139
Results
29.0ms256×0valid
Compiler

Compiled 339 to 258 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 11.0ms (54.5% of total)
ival-div: 4.0ms (19.8% of total)
ival-sqrt: 2.0ms (9.9% of total)
ival-sub: 1.0ms (5% of total)
ival-add: 1.0ms (5% of total)
const: 1.0ms (5% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
8.440682748977877e+127
1.1021845716340788e+130
19.0ms
-9.475316941274697e+146
-2.282277239145597e+139
Results
25.0ms256×0valid
Compiler

Compiled 283 to 216 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 5.0ms (33.2% of total)
ival-mult: 5.0ms (33.2% of total)
ival-sqrt: 2.0ms (13.3% of total)
ival-sub: 1.0ms (6.6% of total)
ival-add: 1.0ms (6.6% of total)
const: 1.0ms (6.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
25.0ms
-9.475316941274697e+146
-2.282277239145597e+139
Results
20.0ms144×0valid
Compiler

Compiled 171 to 125 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 7.0ms (55.8% of total)
ival-mult: 3.0ms (23.9% of total)
ival-sub: 1.0ms (8% 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)

simplify16.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
087278
1132278
2140278
3144278
4146278
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) (+.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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) a)
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -26999999999999999846577392295799065988735611075596587759687532690277308309316305942525083400250851328 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 1350000000000000033554931254992206166679069758171335234928342507019998202064098539077632 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
(if (<=.f64 rand #s(literal -26999999999999999846577392295799065988735611075596587759687532690277308309316305942525083400250851328 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) (if (<=.f64 rand #s(literal 1799999999999999971121280640890261156268030479940175487092627639542541014351872998244352 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
(if (<=.f64 rand #s(literal -45000000000000003629633438277789918486816498773032126217626232588074556352485329382017042744168415232 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand) (if (<=.f64 rand #s(literal 114999999999999994449499780091099549329930799938112657648278037689961472078556658288033792 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
(if (<=.f64 rand #s(literal -26999999999999999846577392295799065988735611075596587759687532690277308309316305942525083400250851328 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 1350000000000000033554931254992206166679069758171335234928342507019998202064098539077632 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -470000000000000019824946002693565954164613551526617201351394405224438389292498358527735072154139220240712624568341036109970438444234500305059840 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 10999999999999999672563705796705786729948216773981554652616513686518042327618908923798572087742996258433593819345864875336773140480 binary64)) (+.f64 #s(literal -1/3 binary64) 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)))))
(if (<=.f64 rand #s(literal -5999999999999999763396659408826475561465633328659868045640408532984002190663118273253808842746121614779574980252707753452055855389945903448064 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64)))) (if (<=.f64 rand #s(literal 10999999999999999672563705796705786729948216773981554652616513686518042327618908923798572087742996258433593819345864875336773140480 binary64)) (+.f64 #s(literal -1/3 binary64) 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)))))
(if (<=.f64 rand #s(literal -3200000000000000189708163970607584118603599640545450523675202383455986490511167380864745488256579986212857351593388254343350309232466636832768 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64)))) (if (<=.f64 rand #s(literal 10999999999999999672563705796705786729948216773981554652616513686518042327618908923798572087742996258433593819345864875336773140480 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 -330000000000000015807418048952207489232797895594830769246000037966651005363995583214534877252481153302610587363568525335011557860098995927535058944 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 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(+.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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) a)
(+.f64 a (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(+.f64 a (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #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 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -26999999999999999846577392295799065988735611075596587759687532690277308309316305942525083400250851328 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 1350000000000000033554931254992206166679069758171335234928342507019998202064098539077632 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
(if (<=.f64 rand #s(literal -26999999999999999846577392295799065988735611075596587759687532690277308309316305942525083400250851328 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (if (<=.f64 rand #s(literal 1350000000000000033554931254992206166679069758171335234928342507019998202064098539077632 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -26999999999999999846577392295799065988735611075596587759687532690277308309316305942525083400250851328 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) (if (<=.f64 rand #s(literal 1799999999999999971121280640890261156268030479940175487092627639542541014351872998244352 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
(if (<=.f64 rand #s(literal -26999999999999999846577392295799065988735611075596587759687532690277308309316305942525083400250851328 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) (if (<=.f64 rand #s(literal 1799999999999999971121280640890261156268030479940175487092627639542541014351872998244352 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -45000000000000003629633438277789918486816498773032126217626232588074556352485329382017042744168415232 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand) (if (<=.f64 rand #s(literal 114999999999999994449499780091099549329930799938112657648278037689961472078556658288033792 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
(if (<=.f64 rand #s(literal -45000000000000003629633438277789918486816498773032126217626232588074556352485329382017042744168415232 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) (if (<=.f64 rand #s(literal 114999999999999994449499780091099549329930799938112657648278037689961472078556658288033792 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -26999999999999999846577392295799065988735611075596587759687532690277308309316305942525083400250851328 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 1350000000000000033554931254992206166679069758171335234928342507019998202064098539077632 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -26999999999999999846577392295799065988735611075596587759687532690277308309316305942525083400250851328 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 1350000000000000033554931254992206166679069758171335234928342507019998202064098539077632 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -470000000000000019824946002693565954164613551526617201351394405224438389292498358527735072154139220240712624568341036109970438444234500305059840 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 10999999999999999672563705796705786729948216773981554652616513686518042327618908923798572087742996258433593819345864875336773140480 binary64)) (+.f64 #s(literal -1/3 binary64) 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)))))
(if (<=.f64 rand #s(literal -470000000000000019824946002693565954164613551526617201351394405224438389292498358527735072154139220240712624568341036109970438444234500305059840 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 10999999999999999672563705796705786729948216773981554652616513686518042327618908923798572087742996258433593819345864875336773140480 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(if (<=.f64 rand #s(literal -5999999999999999763396659408826475561465633328659868045640408532984002190663118273253808842746121614779574980252707753452055855389945903448064 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64)))) (if (<=.f64 rand #s(literal 10999999999999999672563705796705786729948216773981554652616513686518042327618908923798572087742996258433593819345864875336773140480 binary64)) (+.f64 #s(literal -1/3 binary64) 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)))))
(if (<=.f64 rand #s(literal -5999999999999999763396659408826475561465633328659868045640408532984002190663118273253808842746121614779574980252707753452055855389945903448064 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64)))) (if (<=.f64 rand #s(literal 10999999999999999672563705796705786729948216773981554652616513686518042327618908923798572087742996258433593819345864875336773140480 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(if (<=.f64 rand #s(literal -3200000000000000189708163970607584118603599640545450523675202383455986490511167380864745488256579986212857351593388254343350309232466636832768 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64)))) (if (<=.f64 rand #s(literal 10999999999999999672563705796705786729948216773981554652616513686518042327618908923798572087742996258433593819345864875336773140480 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 -3200000000000000189708163970607584118603599640545450523675202383455986490511167380864745488256579986212857351593388254343350309232466636832768 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64)))) (if (<=.f64 rand #s(literal 10999999999999999672563705796705786729948216773981554652616513686518042327618908923798572087742996258433593819345864875336773140480 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 -330000000000000015807418048952207489232797895594830769246000037966651005363995583214534877252481153302610587363568525335011557860098995927535058944 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -9 binary64)))) (+.f64 #s(literal -1/3 binary64) a))
(if (<=.f64 rand #s(literal -330000000000000015807418048952207489232797895594830769246000037966651005363995583214534877252481153302610587363568525335011557860098995927535058944 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)

soundness3.3s (27.2%)

Rules
5304×*-lowering-*.f32
5304×*-lowering-*.f64
5176×*-lowering-*.f32
5176×*-lowering-*.f64
4826×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027147
1196136
22035134
08416134
03564011
111863438
244243380
081433380
05986224
120445303
082185303
03422591
111472319
243822286
083532286
02942469
19322157
235782129
082202129
02583
114980
2157280
0851580
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 1379 to 872 computations (36.8% saved)

preprocess144.0ms (1.2%)

Compiler

Compiled 624 to 196 computations (68.6% saved)

end0.0ms (0%)

Profiling

Loading profile data...